Question

What is the solution to the system of equations?

2x - y = 7
y = 2x + 2

a) (2, 3)
b) (2, 7)
c) no solution
d) infinite number of solutions

Answer 1

y=2x+2, using the value in the top equation gives you:

2x-(2x+2)=7

2x-2x-4=7

-4=7

Since -4 != 7, there is no solutions to this system of equations.

Answer 2

2x - y = 7
-2x -2x

-y = -2x + 7
/- /- /-

y = 2x - 7
The answer is D because they have the same slope so the lines are parallel