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kaheart [24]
2 years ago
15

What is the solution to this system of equations? Show your work. 46 points

Mathematics
2 answers:
Brums [2.3K]2 years ago
8 0
Y - x = 9
12 = 1/3x

The first thing you want to do when solving a system of equations is isolating one of the variables.
Since the second equation only contains x, we can isolate x in the first equation.

y - x = 9
y = x + 9
x = y - 9

You can also solve the second equation without any previous solving.
12 = 1/3x
Multiple both sides by 3/1 or 3
x = 36

Now we can set them equal to each other

36 = y - 9
y = 45

Answer: x = 36 and y = 45
Snezhnost [94]2 years ago
3 0

Answer:

The solutions to systems of equations are the variable mappings such that all component equations are satisfied—in other words, the locations at which all of these equations intersect. To solve a system is to find all such common solutions or points of intersection.

Step-by-step explanation:

Isolate x for 12=1/3x: x=36

[y - 36=9]

the solutions to the system of equation is:

y=45 x=36

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Use this system of equations to answer the questions
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Answer:

1. To eliminate x-term, multiply the second by -2

2. To eliminate y-term, multiply the second by 3

Step-by-step explanation:

4x - 9y = 7 (1)

-2x + 3y = 4 (2)

1. To eliminate x-term, multiply the second by -2

-2x + 3y = 4 (2) × 2

-4x + 6y = 8 (3)

4x - 9y = 7 (1)

Add (3) and (1)

6y - 9y = 8 + 7

-3y = 15

y = 15/-3

y = -5

4x - 9y = 7 (1)

4x - 9(-5) = 7

4x + 45 = 7

4x = 7 - 45

4x = -38

x = -38/4

x = -9.5

4x - 9y = 7 (1)

-2x + 3y = 4 (2)

2. To eliminate y-term, multiply the second by 3

-2x + 3y = 4 (2) × 3

-6x + 9y = 12 (3)

4x - 9y = 7 (1)

-6x + 4x = 12 + 7

-2x = 19

x = 19/-2

x = -9.5

4x - 9y = 7 (1)

4(-9.5) - 9y = 7

-38 - 9y = 7

-38 - 7 = 9y

-45 = 9y

y = -45/9

y = -5

6 0
2 years ago
Read 2 more answers
What is the prime factorization of 50?<br><br> A. 2x25<br> B. 2x5<br> C. 2x5(2)<br> D. 2(2)x5
likoan [24]

9514 1404 393

Answer:

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Step-by-step explanation:

The prime factors of 50 are ...

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Step-by-step explanation:

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