Solve the system

y = 2 - x and y = 4x+7

A. (1,1)

B. (1,3)

C. (-1,3)

D. (-1,1)

E. no solution

Use substitution.

y = 2 - x and y = 4x + 7 can become

2 - x = 4x + 7

Now solve for x

-5 = 5x

-1 = x

Now plug - 1 for x in either equation.

y = 2 - x - > y = 2 - (-1) - > y = 3

y = 4x + 7 - > y = 4*-1 + 7 - > y = - 4 + 7 - > y = 3

So C) is the correct answer.