Mathematics College

Use the substitution method to solve the system of equations.

2x + 3y = 12
y = x-1

A. (3, 4)
B. (0,4)
C. (3,2)
D. (2,3)

Use The Substitution Method To Solve The System Of Equations.2x + 3y = 12y = X-1A. (3, 4)B. (0,4)C. (3,2)D.

Answers

Answer 1

Answer:

(3,2)

Step-by-step explanation:

Answer 2

The solution to the system of equations is (3, 2). So, the answer is option C. (3,2).

How to solve the equations by substitution method?

We are given the system of equations:

2x + 3y = 12

y = x-1

We can use the substitution method by substituting the expression for y in the first equation with the value of y from the second equation:

2x + 3(x-1) = 12

Simplifying the equation, we get:

2x + 3x - 3 = 12

5x = 15

x = 3

Now, we can substitute the value of x in either of the two equations to find the value of y:

y = x-1

y = 3-1

y = 2

Therefore, the solution to the system of equations is (3, 2). So, the answer is option C. (3,2).

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Related Questions

A quadratic equation is written as a system of two quadratic functions. Select the number of possible ways the graphs can intersect.

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Step-by-step explanation:

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0, 1, 2, infinite

Step-by-step explanation:

Evaluate the expression

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Step-by-step explanation:

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An equilateral triangle and a regular hexagon have the same area. The ratio of the side length of the regular hexagon to the side length of the equilateral triangle can be written as m/√n. What is m+n?
Help me plz!

Answers

Answer:

7

Step-by-step explanation:

Let a and b be the sides of the equilateral triangle and the regular hexagon respectively as shown in figures (1) and (2).

The area of the equilateral having side a is

[tex]A_T= \frac {\sqrt3}{2}a^2\cdots(i)[/tex]

Now, join all the 6 corner points of the regular hexagon to the center of the hexagon as shown in figure (3).

As there are 6 equal sides, so angle subtended by each side at the center is 360/6=60 degrees.

Considering the triangle POR:

[tex]\angle POR= 60[/tex] degree [angle at center]

As sides PO=RO, so [tex]\angle OPR = \angle ORP = 60[/tex] degree.

Hence, triangle POR is an equilateral triangle.

Similarly, all the remaining 5 triangles are equilateral triangles.

So, the area of hexagon = 6 x Area of triangle POR

As the length of sides of the triangle POR is b,

so the area of the triangle POR [tex]= \frac {\sqrt3}{2}b^2[/tex].

Hence, the area of the regular hexagon,

[tex]A_H = 6 \times \frac {\sqrt3}{2}b^2\cdots(ii)[/tex]

As the equilateral triangle and a regular hexagon have the same area, so from the equations (i)and (ii), we have

[tex]A_T=A_H\\\\\frac {\sqrt3}{2}a^2=6 \times \frac {\sqrt3}{2}b^2\\\\\Rightarrow a^2=6b^2\\\\\Rightarrow \frac {b^2}{a^2}=\frac 1 6\\\\\Rightarrow \frac {b}{a}=\frac {1}{\sqrt 6}\cdots(iii)[/tex]

Given that the ratio of the side length of the regular hexagon to the side length of the equilateral triangle, b/a= m/√n.

On comparing with the equation (iii), we have

m=1 and n=6

Hence, m+n=1+6=7.

What is an equation of the line that passes through the points (0, -2) and (-5, 4)?
Put your answer in fully reduced form.

Answers

Answer:

I have no idea

Step-by-step explanation:

Answer: y= -6/5x-2

Step-by-step explanation:

That’s wut it said

Raul Del Valle's gross weekly salary is S615. His weekly federal withholding is S55. The Social Security tax is
6,2% of the first $97.500 he earns. The Medicare tax is 1.45% of gross pay. The state tax is 1.5% of gross pay.
Each week he pays $12.40 for medical insurance. How much is deducted from Raul's weekly wages for state tax
and Medicare tax?​

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Answer:

Step-by-step explanationjiuijkk8

u:

A baker makes 30 cupcakes. He makes 3 times as many cupcakes as his friend Sarah. How many cupcakes does Sarah make?​

Answers

Answer:

sarah makes 10 cupcakes

Step-by-step explanation:

baker makes 30 cupcakes.

30/3=10

The sum of two numbers is 12.
When three times the first number is added to 5 times the second number, the result is 44.
Find the two numbers.
A 9 and 3
B) 8 and 4
C) 10 and 2
D) 7 and 5

Answers

Answer:

b

Step-by-step explanation:

8*3

=24

4*5

=20

20+24

=44

Daniel earns a commission of 3% on every home he sells. Recently, Daniel
sold a home for $180,000. What was Daniel's commission?

Answers

Answer:

The answer in 180000 * 3 ÷ 100 = 5400$

Which shows two expressions that are equivalent to (-8)(-12)(2)?

Answers

It would be c because when you multiply 8 and 12 you get 96 and when you multiply 96x2 you get 192 so therefore your answer is c. Hopes this helps have a good one.plz mark BRAINLIEST

The solution is option C.

What is  multiplication?

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

(-8)(-12)(2)

=96*2

=192

so. we get,

It would be c because when you multiply 8 and 12 you get 96 and when you multiply 96x2 you get 192 .

so, therefore your answer is c.

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Answer this answer correctly and you'll get 100 points + brainiest:
Marcellus is making a deposit that will leave him with a balance of $381. He noticed that if he added $54 to the amount he started with in his account and then tripled the sum, he would get the new amount. How much did Marcellus originally have in his account?

Part A: Which equation represents the situation?

A. 3m + 54 = 381, where m represents the amount originally in his account
B. 3(m + 54) = 381, where m represents the amount originally in his account
C. 3m − 54 = 381, where m represents the amount originally in his account
D.3(m − 54) = 381, where m represents the amount originally in his account

Part B: Complete the statement to represent the solution of the equation in context.


Marcellus originally had $___________ in his account.

Answers

Answer:

B

Step-by-step explanation:

Part A:

3(m+54) = 381 shows that 54 is being added to m, the initial sum. Then it shows the sum of 54 + m being multiplied by 3 to get to the new balance of $381. This equation most accurately matches with the question.

Part B:

3(m-54) = 381.

You would first divide both sides by 3.

m - 54 = 127

You would now add 54 to both sides.

You now know m = 181.

What is the range of the given function?

Answers

It’s D, because range is talking about what’s the line within, also since the end is colored in that means its also included too.

Answer:

D

Step-by-step explanation:

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Somebody please help me with this question

Answers

Answer:

c is the correct answer

Step-by-step explanation:

Please help!Please help me​

Answers

Answer:

The answer is Thousandths

Answer:

Thousandths

Hope this helps!

Can you pls give brainly

Given x and y are integers, explain why the product of the expression and it's conjunct will always be an integer

Answers

Answer:

If neither of the two real numbers is zero, then their product is also not zero Suppose also that x is a real number that satisfies the equation The " / " symbol does not always give you a result of an integer, so be careful.pkek, and any other expression for n as a product of prime numbers is identical to this except,.

Step-by-step explanation:

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Answers

Answer:

6+y

Step-by-step explanation:

simple:)

A researcher studying koi fish collected data on three variables, A, B, and C. The following residual plots show the residual for a model for predicting each variable from the age of the fish.

A conclusion that a linear model between the variable and age is appropriate is supported by which plot or plots?
1.)A Only
2.)B Only
3.)C Only
4.)A and C only
5.)B and C only

Answers

Answer: A Only

Step-by-step explanation:

To determine that a linear model is appropriate, the residual plot should be randomly dispersed.

Answer:

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Step-by-step explanation:

Find the equation of the straight line passing through the point ( 0 , -1 ) which is perpendicular to the line y = -3/4x - 3

Answers

Perpendicular = opposite sign and reciprocal slope
Y = 4/3x + b
-1 = 0 + b, b = -1
Equation: y = 4/3x - 1

How would you graph the solution to 3x ≤ -15?

Draw an open circle on -5 and shade to the left.
Draw an open circle on -5 and shade to the right.
Draw a closed circle on -5 and shade to the left.
Draw a closed circle on -5 and shade to the right.

Answers

Answer: C) Closed circle at -5; shading to the left

The given inequality [tex]3x \le -15[/tex] solves to [tex]x \le -5[/tex] when we divide both sides by 3. The inequality sign does not change because we didn't divide both sides by a negative number.

The graph has a closed circle at -5 to include this value as part of the solution set. Shading is to the left to indicate values smaller than -5. Overall, the graph says "x can be -5 or smaller". If you wanted to exclude -5, you would say [tex]x < -5[/tex] and use an open circle; but that's not the case here.

Answer:

C) Closed circle at -5; shading to the left

Step-by-step explanation:

I'm doing system of equations and I have to solve using substitution

the equations are y=5x and xy=45​

Answers

Plug in 5x for y
x(5x) = 45
5x^2 = 45
Divide by 5
x^2 = 9
X = 3

Answer: +3, -3

Step-by-step explanation:

ok so all you need to do is plug in that first equation into the second one.

x(5x) = 45

5x^2 = 45

x^2 = 9

x     = +3, -3

What is the domain and range of y=2x+5

Answers

-5/2 or x=-2 1/2, x=-2.5

(-1, 4) and (0,-1) writing out linear equations giving two points

Answers

Answer:

The equation is y = -5x - 1.

Step-by-step explanation:

1. Find the slope using the formula. Slope = (4 + 1) / (-1 - 0) which is equal to 5 / -1 which is -5.

2. Use the slope-point formula to construct an equation. The equation is y - 4 = -5 * (x + 1)

3. Simplify. We would get y = -5x - 5 + 4, which is y = -5x - 1.

Answer: The equation is y = -5x - 1.

Determine if parallel, perpendicular, or neither showing how to find the slope

4x-7y=10
7x+4y=1

Answers

Answer:

They're perpendicular

Step-by-step explanation:

Cause they interfere the point (47/65, 66/65) in a 90 degree angle

Check if they’re product if slope is equal to -1 if yes then it’s perpendicular
And if slopes are equal then parallel...

Andre filled 4 jars using a total of 10 cups of blackberry jam how many did cups of jam is in each jar

Answers

Answer:

2.5 cups in each jar

Step-by-step explanation:

10/4 is 2.5

The Lambert family uses up a 1/2
gallon jug of milk every 3 days. At what rate do they drink milk?

Answers

Answer:

Step-by-step explanation:

Given

Lambert family uses up a 1/2

gallon jug of milk every 3 days.

rate drink milk per day

Solution =1/2÷3

= 1/6

So the answer is 1/6

You are walking from home to music store. You stop for a rest after 2/3 miles. The music store is actually 3/4 miles from home. How much farther do you have to walk

Answers

You have to walk 1/12 miles farther.

The number of miles that farther you have to walk will be 1/12 miles.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

You are walking from home to the music store. You stop for a rest after 2/3 miles. The music store is actually 3/4 miles from home.

The number of miles that farther you have to walk will be

⇒ 3/4 - 2/3

⇒ (9 - 8) / 12

⇒ 1/12

The number of miles that farther you have to walk will be 1/12 miles.

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x÷79 + 72 - 18 hellppppp​

Answers

Answer:

1/5688x-18

I am not sure about my answer because I think the question is missing some information but my answer is 1/5688x-18. Thanks!

In the expression (44 - 4) ÷ 2 + 10, which operation should we start with?

Answers

Answer: the parenthesis: (44-4)

Step-by-step explanation: In order of operations parenthesis are always first. Then exponents, then multiplication and division, and then addition and subtraction. (PEMDAS)

Use absolute value to express the distance between 10 and −4.

Answers

Answer:14

Step-by-step explanation: absolute value will always be a positive number. 10 away from 0 is 10. -4 from 0 is still 4. Add them together and you have 14

The science center has 300 people in attendance on Tuesday. This is 150 percent of the attendance on Monday. Natasha is trying to figure out how many people were in attendance on Monday. Her work is shown below.

StartFraction part Over whole EndFraction = StartFraction 150 Over 100 EndFraction

StartFraction 150 times 2 Over 100 times 3 EndFraction = StartFraction 300 Over question mark EndFraction

Since 150 times 2 = 300, then 100 times 3 or 300 people were in attendance on Monday.

What mistake did Natasha make?
Natasha should have multiplied 100 by 2.
Natasha should have divided 150 by 3.
Natasha should have added 150 and 300.
Natasha should have multiplied 300 and 150 percent.

Answers

Answer:

Natasha should have multiplied 100 by 2.

Step-by-step explanation:

part/whole = 150/100

(150 * 2)/(100 * 2) = 300/? is correct.

Answer: Natasha should have multiplied 100 by 2.

5) Find the distance between -9 and 12 on a number line.​

Answers

Answer: Hope this helps!!!

Step-by-step explanation:Absolute Value: You need to find how far away both numbers are from zero, then add these values together to see how far apart these numbers. The absolute value of nine, |-9| is 9, and |12| is 12. This means that the nine is nine spots away from zero, and twelve is twelve spots from zero. This means that the numbers are 20 units from each other.

Distance -9 is from 12 You need to find how much of an increase from nine you need to reach the twelve. So -9 + ? = 12. What number can you add to equal twelve? You can add 20 to make the equation true. (? = 20) The distance from -9 to 12 is a positive 20.

Distance from 12 to -9 This is similar to the previous example. What number can you insert to make the 12 equal the negative nine? 12 - ? = -9. The number would be -20, which means that 12 is 20 spots away from the negative nine, as it took at negative twenty to get us to the negative nine.

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