Question

Graph the following linear system to determine the number of solutions. y = -x + 2 x + 5 = y

Answer 1

Next time write them on two separate lines:

y = -x + 2
y = x + 5

Answer 2

In this case you can just add the fractions since x's cancel leaving

2y = 7

Divide by 2 to get

y = 7/2

Now plug y back into one of the original equations to get x

Alternatively, just graph it.

Answer 3

But how many solutions are there?

Answer 4

With linear, when the slopes are different, 100% of the time there is only one solution.

Answer 5

Ok thanks!