Linear inequalities

Question

Solve the system by the addition method

{ 4x + 16y = 16

{ 3x - 16y = 12

What is the solution set?

Answer 1

4x + 16y = 16

3x - 16y = 12

Since one equation has +16y and the other has -16y, this problem is already set up to eliminate the y term. So add them together:

(4x + 16y = 16)

+ (3x - 16y = 12)

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7x + 0 = 28

7x = 28

Solve for x. To get the y term, plug your solution for x into either equation and solve for y.