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Solve the system of linear equations given below.

4x+y= -4
x+y=2

Answers
a. (2,4)
b. (-4,-5)
c. (-2,4)
d (-4,5)

User YOLO
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1 Answer

4 votes

Answer: C

Steps: 4x + y = -4, x + y = 2

Isolate the x for (x + y = 2): x = 2 - y

Plug the value of x into the other equation: 4(2 - y) + y = -4

Simplify: -4y + 8 + y = -4

Combine like variables (letters): -4y + y = -3y

So -3y + 8 = -4

Subtract eight from both sides: -3y + 8 - 8 = -4 - 8

-3y = -12

Divide both sides by negative three: -3y ÷ -3 = -12 ÷ -3

Simplify: y = 4

Plug the value of y into one of the original equations (I'll use x + y = 2):

So x + 4 = 2

Isolate the x variable: x = -2

User Manuel Binna
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