Solve the system of equations. It is an order pair Remember to SHOW YOUR WORK! YOU WILL TURN IT IN. *
-3x + 2y = -3
4x - y = -1

x = -1, y = -3

Step-by-step explanation:

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

-3x + 2y = -3

Subtract 2y from both sides of the equation.

-3x = -2y - 3

Divide both sides by -3.

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

Multiply -1/3 by -2y - 3.

x = 2/3y + 1

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

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

Multiply 4 by 2/3y + 1.

8/3y + 4 - y = -1

Add 8/3y to -y.

5/3y + 4 = -1

Subtract 4 from both sides of the equation.

5/3y = -5

Multiply both sides by 3/5.

y = -3

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

x = 2/3(-3) + 1

Multiply 2/3 by -3.

x = -2 + 1

Add 1 to -2.

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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step-by-step explanation: