Question

Solve by the addition method. (If the solution is inconsistent, enter INCONSISTENT. If the equations are dependent, give the answer in terms of x.) x – 2y = −4 –2x + 4y = 8

Answer 1

consistent and dependent: x: -4 +2y

Explanation:

x – 2y = −4

–2x + 4y = 8

Multiply the first equation by 2

2(x – 2y = −4 )

2x -4y = -8

Add this to the second equation

2x – 4y = −8

–2x + 4y = 8

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0 = 0

This is always true

There are infinite solutions. They equations are consistent and dependent

x= -4+2y