Question

How many solutions does this system have?
x-2y=2
y=-2x+5

Answer 1

x-2y=2
y=-2x+5

In the top equation, substitute (-2x +5) for y

x-2y=2

x - 2*(-2x + 5) = 2

x +4x -10 = 2

5x - 10 = 2

x = ? @tatumlee

Answer 2

I added 10 to both sides and ended up with 5x=12 am I doing this right?

Answer 3

@Directrix

Answer 4

>> 5x=12 am I doing this right?

Yes. x = 12/5

That indicates that there is a solution to the system of equations.

Answer 5

y=-2x+5

y = (-2)* 12/5 + 5

y = 1/5

The single solution is (12/5 , 1/5)

Answer 6

@tatumlee