2x+3y=0
x+2y=1
solving systems by substitution

Answers

Answer 1

Answer: x=-3, y=2

Step-by-step explanation: to solve using substitution, we need either x or y by itself in one equation. let's use x from the 2nd equation since it doesn't have a constant.

so the first equation stays the same at 2x+3y=0

for the second equation, rearrange to solve for x by moving the 2y to the right -> x=2y-1

then, we can plug in this x value to x in the first equation to get,

2(2y-1)+3y=0

then solve for y,

4y-2+3y=0

4y-3y=2

y=2

then to solve for x, plug in y in either of the initial equations. lets choose the second one.

so you'd have,

x+2(2)=1

x+4=1

x=-3


Related Questions

What is the prime factorization of 110?

Answers

Answer:

The prime factors of 110 are 2, 5, and 11.

Step-by-step explanation:

First, 110 = 2 * 55

Next, 55 = 5 * 11

Thus, the prime factors of 110 are {2, 5, 11}

Answer:

2 x 5 x 11 = 110.

Step-by-step explanation:

The prime factors of 110 are 2, 5, and 11.

-Factors of 110: 1, 2, 5, 10, 11, 22, 55 and 110

-Prime Factorization of 110: 110 = 2 × 5 × 11

1 × 110 = 110

2 × 55 = 110  

5 × 22 = 110

10 × 11 = 110

11 × 10 = 110

22 × 5 = 110

55 × 2 = 110

110 × 1 = 110

Ashley's height is 164 cm. She stands 325 cm from a lamp post at night. Her shadow is 100 cm long.
How high is the lamp post?

Answers

the high lamp post is 580

If Amy bought 2 CDs for $14.00 each, a DVD for $24.99, and a video
game for $37.50, how much change would she get back from a $100 bill?

Answers

Answer: Change of $9.51

Step-by-step explanation: Use parenthesis to simplify this, 2(14) + 1(24.99)+1(37.50) = 100. Then subtract accordingly.

Answer:

9.51

Step-by-step explanation:

multiply the cost of the cds by 2, add the DVD and the video game, then subtract that answer with a 100 dollar bill.

16,when g=4
Answer please

Answers

Answer:

Is this multiplcation cuz its 4

Step-by-step explanation:

4x4=16

Answer:

4X4=16

Step-by-step explanation:

The price of a skateboard is reduced by 25%. The original price was $120. Find the new price.

Answers

Answer:

New price = 90 dollars

Price is reduced 25% from 120 so,

120 - 30 = 90

Amount of discount = 30

What is the area of the base?

Answers

Answer:

24 in²

Step-by-step explanation:

Hello there!

the figure shown is a triangular prism

The base is the triangle

So we need to find the area of the triangle using this formula

[tex]A=\frac{bh}{2}[/tex]

where b = base and h = height

The base (triangle) has a base length of 8 inches and a height of 6 inches

Having found the information we needed, we plug it into the formula

So

[tex]A=\frac{6*8}{2} \\6*8=48\\\frac{48}{2} =24\\A=24in^2[/tex]

So the area of the base is 24 in²

I need help with this

Answers

Answer:

12x+24x+18 and 36x+24-6 can both be simplified into 36x+18, meaning the equation is an identity

A polynomal of degree of 2 that has zeros -4 and 2 is

Answers

9514 1404 393

Answer:

  f(x) = x^2 +2x -8

Step-by-step explanation:

If p and q are zeros of a quadratic, its factored form is ...

  f(x) = (x -p)(x -q)

For your zeros, the factored form is ...

  f(x) = (x +4)(x -2)

Expanded using the distributive property, this is ...

  f(x) = x(x -2) +4(x -2) = x^2 -2x +4x -8

  f(x) = x^2 +2x -8

The points L, M, N and O all lie on the same line segment, in that
order, such that the ratio of LM : MN: NO is equal to 6:1:2. If
LO = 45, find MO.

Answers

3x + 1x + 5x + 36
9x = 36
x = 4
3x = 12
5x = 20

A brick of lead weighs 6,328 grams and has the following dimensions: length of 20 cm, height
of 8 crn, and width of 35 mm. What is the approximate density of the lead? Round to the
nearest tenth

Answers

Answer:

11.3

Step-by-step explanation:

Volume: L * W * H

L = 20

W = 8

H = 35 mm = 35/10 = 3.5 cm

V = 20 * 8 * 3.5

V = 560 cm^3

Density = m/v

Density = 6328 / 560

Density = 11.3

HELLPPPPPPPPPPPPPPPPPPPP!!!!!!!!!!

Answers

Answer:

b.

Step-by-step explanation:

b. or the second answer

Find the area of the composite figure. Round your final answer to the tenth.

Answers

Answer:

181.5 in^2 to the nearest tenth.

Step-by-step explanation:

This consists of a rectangle and a triangle.

Area of the rectangle = 10 * 17  = 170 in^2

Area of the triangle:

The base  = 17-13 = 4 in.

The height ( that is the vertical line below the rectangle) can be found using Pythagoras:

H = √(7^2 - 4^2) = √33

Area of the triangle = 1/2 * 4 * √33 = 11.489 in^2

Area of the whole figure = 170 + 11.489 = 181.489 in^2,

What is the length of side a? Round to the nearest tenth of an inch

Answers

Answer:

ok this is easy all it is 16-7=9 so a=9 so all it is 7x9=72 then its 72 divided by 2 so your answer is 36

Answer: 36
Explanation: ^^^

Use this picture to name one pair of SUPPLEMENTARY angles

Answers

One pair of supplementary angles in the picture : Angle 1 and Angle 5

Hope this helps!

2.
A garden is 20 feet long by 10 feet wide. The length and the width of the garden will
each be increased by the same number of feet. This expression represents the
perimeter of the larger garden. please first answer gets brainly thing

Answers

Answer:

200

Step-by-step explanation:

Assume that BC is tangent to circle A. Find the value of x. Round your answer to the nearest tenth

Answers

Answer:

x ≈ 9.6

Step-by-step explanation:

Δ ABC is right with ∠ C = 90° ( angle between tangent and radius )

Using Pythagoras' identity in the right triangle

x² + 14² = 17²

x² + 196 = 289 ( subtract 196 from both sides )

x² = 93 ( take the square root of both sides )

x = [tex]\sqrt{93}[/tex] ≈ 9.6 ( to the nearest tenth )

which of the following equations represents a line that passes through the points​

Answers

Answer:

C) I only

Step-by-step explanation:

( -1, -2) and (0,4)

Slope:

m=(y2-y1)/(x2-x1)

m=(4+2)/(0+1)

m=6/1

m=6

Slope-intercept:

y - y1 = m(x - x1)

y + 2 = 6(x + 1)

y + 2 = 6x + 6

y = 6x + 4

y - 16 = 6(x - 2)

y - 16 = 6x - 12

y = 6x + 4

What is the factored form of 8y2 + 12y?
a 4 (4y2 + 8y)
b 8y(y + 4)
c 4y (2y + 3)
d 8y (y2 + 4)

Answers

Answer:

Hi! The answer to your questions is C. 4y (2y+3)

Step-by-step explanation:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

Without solving, identify whether each of the following equations has a unique solution, no solution, or infinitely many solutions.



2(x−3)=10x−6−8x

1 solution

No Solution

Infinite Solutions

Answers

Answer:

Infinite Solutions

Step-by-step explanation:

Simplify both sides and you will see they are equivalent meaning that it has infinite solutions

Find the missing side length.

Answers

Answer:

my guess would be 15 because it goes down by 5s

Dani owns a small business. There was a profit of $16 on Thursday and a loss of $10 on friday. On saturday there was a loss of $14 and on sunday there was a profit of $25. Find the total loss or profit in the four days.
NO LINKS!

Answers

Answer:

There was profit of $17 think

Step-by-step explanation:

25+16=41

14+10=24

41-24=17

They took down the other question so we're gonna come here ok

The graph of f(x) = x2 is shown
Use the parabola tool to graph g(x)
g(x) = (x + 1)2 – 2
Graph the parabola by first plotting its vertex and then plotting a second point on the parabola

Answers

Answer:

(1,2) is your vertex and (2,3) is your second point

Step-by-step explanation:

Answer:

(0,-1) and (-1,-2)

Step-by-step explanation:
i got it right on the quiz

what is the volume, in cubic centimeters, of a cylinder that has a height of 15 cm and a diameter of 12cm?​

Answers

Answer:

Option 2

[tex]540\pi[/tex]

Step-by-step explanation:

Given,

Diameter of the cylinder = 12cm

Radius of the cylinder = 12cm ÷ 2 = 6cm

Height of the cylinder = 15cm

Therefore,

Volume of the cylinder

[tex] = \pi {r}^{2} h[/tex]

[tex] = \pi \times 6 \times 6 \times 15 {cm}^{3} [/tex]

[tex] = 540\pi \: cubic \: cm[/tex]

Hence,

Option 2 is correct for volume of the cylinder in cubic cm:

[tex]540\pi[/tex]

Me pueden ayudar? ☹ PROPIEDADES DE LA SUSTRACCIÓN DE NÚMEROS NATURALES: LA RESTA NO CUMPLE CON NINGUNA DE LAS CUATRO PROPIEDADES ENUMERADAS (agrega los contraejemplos) NO ES CERRADA EN EL CONJUNTO DE LOS NATURALES: porque... NO ES CONMUTATIVA: porque... NO ES ASOCIATIVA: porque... NO TIENE ELEMENTO NEUTRO: porque...

Answers

Answer:

(i) La sustracción de números naturales no es cerrada, puesto que no existe el resultado cuando el minuendo en menor que el sustraendo, es decir:

[tex]2 - 5 = -3, -3\notin \mathbb{N}[/tex]

(ii) La sustracción de números naturales no es conmutativa, pues al cambiar las posiciones entre minuendo y sustraendo, se pasar de un resultado contenido en [tex]\mathbb{N}[/tex] a uno no contenido en ese cuerpo. Es decir, el resultado cambia. Es decir:

[tex]5 - 2 = 3[/tex]

[tex]2 - 5 = -3, -3\notin \mathbb{N}[/tex]

(iii) La sustracción de números naturales no asociativa, pues al cambiar la posición de los paréntesis, puede llevar a un resultado distinto o inexistente en [tex]\mathbb{N}[/tex] debido a que el signo afecta a todo lo que está adentro del paréntesis. Es decir:

[tex](6-4) - 1 = 2 - 1 = 1[/tex]

[tex]6 -(4-1) = 6-3 = 3[/tex]

(iv) No tiene elemento neutro pues el neutro aditivo, léase 0, no pertenece a [tex]\mathbb{N}[/tex].

Step-by-step explanation:

(i) La sustracción de números naturales no es cerrada, puesto que no existe el resultado cuando el minuendo en menor que el sustraendo, es decir:

[tex]2 - 5 = -3, -3\notin \mathbb{N}[/tex]

(ii) La sustracción de números naturales no es conmutativa, pues al cambiar las posiciones entre minuendo y sustraendo, se pasar de un resultado contenido en [tex]\mathbb{N}[/tex] a uno no contenido en ese cuerpo. Es decir, el resultado cambia. Es decir:

[tex]5 - 2 = 3[/tex]

[tex]2 - 5 = -3, -3\notin \mathbb{N}[/tex]

(iii) La sustracción de números naturales no asociativa, pues al cambiar la posición de los paréntesis, puede llevar a un resultado distinto o inexistente en [tex]\mathbb{N}[/tex] debido a que el signo afecta a todo lo que está adentro del paréntesis. Es decir:

[tex](6-4) - 1 = 2 - 1 = 1[/tex]

[tex]6 -(4-1) = 6-3 = 3[/tex]

(iv) No tiene elemento neutro pues el neutro aditivo, léase 0, no pertenece a [tex]\mathbb{N}[/tex].

What is the equation of the line with slope −3 and y-intercept 6? Express your answer in slope-intercept form.

A. y = 3x + 6
B. y = −3x − 6
C. y = −3x + 6
D. y = 3x − 6

Answers

Answer:

C. y = -3x +6

Step-by-step explanation:

y = mx + b

m= slope = -3

b = y-intercept = 6

y = -3x + 6

Find the Area of this Composite Figure:
8 in
7 in
12 in

Answers

Answer:

132in²

Step-by-step explanation:

A circle has a radius of 11 meters. What is the area of the circle?

Answers

Answer:

A≈380.13 m²

Step-by-step explanation:

looked it up

Answer:

A= 380.13 m²

Step-by-step explanation:

A=[tex]\pi r^{2}[/tex]

A= [tex]\pi[/tex]x[tex]11^{2}[/tex]

A= 380.13

helppppp I really need help

Answers

The answer is b I’ve done this before it’s not really that easy lol but yea it’s b

Item 5
Write the word sentence as an inequality.

One plus a number y is no more than −13.

Answers

Answer:

1+xy-13 that is you answer

I don’t know sorry.

Hugo puts $200.00 into an account to use for school expenses. The account earns 13% interest, compounded annually. How much will be in the account after 6 years?

Answers

Answer:

y=200(1.13)^6= 416.39

Step-by-step explanation:

Other Questions
missy is living in an apartment complex. the apartment that she is currently renting just had its furnace break due to a mechanical error (it was 20 years old). by rule, who is responsible for fixing this issue? Why are 22 doors closed in Taj Mahal? 1Select the correct answer.Which day falls between mardi and jeudi?O A.vendrediOB. lundiO C. mercrediO D. dimanche Which expression can be used to find the surface area of the triangular prism? Will give Brainliest! 8. The President is the commander-in-chief of the military. In your opinion, why do you think it would be more safethat the military is in the hands of a citizen, like the President, rather than professionals in the military? boca corporation, a u.s. corporation, reported u.s. taxable income of $1,000,000 in the current year. boca also received a dividend of $100,000 from the corporation's 100 percent owned subsidiary in italy. the dividend qualifies for the 100 percent dividends received deduction. the italian government imposed a withholding tax of $5,000 on the dividend. compute boca corporation's net u.s. tax liability for the current year. 1. Is there a difference between normal, dry, and oil shampoo?2. Benefits of 2-in-1 shampoo and conditionerPlease put the URL (the info you got from) How can you tell the difference between trigeminal neuralgia and toothache? How do you find a plane equidistant from two points? The most recent warming trend experienced over the northern hemisphere could be the result of? colonization of the americas gave rise to a complex web of economic events. match each group of people with the impact they felt from these events. What social problem does Swift tell his readers he is going to address at the beginning of his proposal? Is the NASA a bureaucratic agency? an appliance store carries a specialty model of microwave ovens. the demand for the microwave oven is relatively constant at 2500 units per year. placing an order costs the store $500 regardless the quantity ordered. carrying one unit over a one year period costs the store $50. the store opens 300 days per year and the lead time for this item is 12 working days. because of the special features of the microwave oven, customers may buy it whether it is currently available in the store. hence, the store is considering selling it on a back order basis if it is beneficial. it is estimated that one unit on back order for a one year period costs the store $150. assuming shortage is allowed and the store manager is sure that shortages will not become lost sales, determine the maximum allowable shortage. 224 258 260 65 none of the above What three 3 elements should be included in the first sentence of an effective summary? which of the following best describes the chain of events that will occur if the value of the u.s. dollar appreciates? What are the three types of artificial? 10. Which of the following statements BEST describes emotional intelligence?Emotional intelligence is easily assessed.Emotional intelligence relies on instincts to solve problems.Emotional intelligence is closely correlated with verbal ability.Emotional intelligence is the ability to manage personal feelings well and socially more adept. W5Odelia's patient Enrique is upset because he wants to be able to visit his niece for her birthday. Enrique is notallowed out of the hospital yet. What is the best strategy that Odelia can use to promote her patient's independencein this issue without violating his rights or the hospital rules? Should I take painkillers before a tattoo?