Question

How many solutions will this system of equations have?

y = 3.5x − 3.5
y = −3.5x + 3.5

Answer 1

There is 1 solution (1,0)

Explanation:

y = 3.5x − 3.5

y = −3.5x + 3.5

Add this system of equations together

y = 3.5x − 3.5

y = −3.5x + 3.5

-----------------------

2y = 0

y = 0

Substitute back in

0 = 3.5x - 3.5

Add 3.5 to each side

3.5 = 3.5x

Divide by 3.5

3.5/3.5 = 3.5x/3.5

1=x

There is 1 solution (1,0)