Question

solve each system by substitution.

1. ( y = 6x - 7 )

( y = -7x - 7 )

Explanation:

Step1: Substitute y from first equation

Since both equations equal y, set them equal: \(6x - 7=-7x - 7\)

Step2: Solve for x

Add \(7x\) to both sides: \(6x + 7x-7=-7\) → \(13x - 7=-7\)
Add 7 to both sides: \(13x=0\) → \(x = 0\)

Step3: Find y

Substitute \(x = 0\) into \(y = 6x - 7\): \(y=6(0)-7=-7\)

Answer:

The solution is \(x = 0\), \(y=-7\) (or as an ordered pair \((0, -7)\))