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Usimov [2.4K]
2 years ago
14

Solve the system of equations. It is an order pair.......... Remember to SHOW

Mathematics
2 answers:
lisabon 2012 [21]2 years ago
5 0
-3x + 2y = -3
4x - y = -1

2(4x - y = -1)

-3x +2y = -3
8x -2y = -2

-5x = -5
/-5

X = 1
Svetllana [295]2 years ago
5 0

Answer:

x = -1, y = -3

Step-by-step explanation:

Let's start by solving -3x + 2y = -3 for x.

-3x + 2y = -3

<em>Subtract 2y from both sides of the equation.</em>

-3x = -2y - 3

<em>Divide both sides by -3.</em>

x = -1/3(-2y - 3)

<em>Multiply -1/3 by -2y - 3.</em>

x = 2/3y + 1

<em>Substitute 2/3y + 1 for x in 4x - y = -1</em>

4(2/3y + 1) - y = -1

<em>Multiply 4 by 2/3y + 1.</em>

8/3y + 4 - y = -1

<em>Add 8/3y to -y.</em>

5/3y + 4 = -1

<em>Subtract 4 from both sides of the equation.</em>

5/3y = -5

<em>Multiply both sides by 3/5.</em>

y = -3

<em>Substitute -3 for y in x = 2/3y + 1. Because the resulting equation contains only one variable, you can solve for x directly.</em>

x = 2/3(-3) + 1

<em>Multiply 2/3 by -3.</em>

x = -2 + 1

<em>Add 1 to -2.</em>

x = -1

The system is now solved. x = -1, and y = -3.

Work check:

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

3 + (-6) = -3 is true.

4(-1) - (-3) = -1

-4 - (-3) = -1

-4 + 3 = -1 is true.

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