Question

Y =  6x - 27 y =  4x  - 17 a. ( -5,  3) c. ( 5,  3) b. ( -3,  -5) d. No solution

Answer 1

The answer is c. (5, 3).

Explanation:

We set 6x - 27 = 4x - 17 and solve for x.

This yields 6x -4x -27 = 4x -4x -17, so

2x -27 +27 = -17 + 27, which means

2x = 10 leading to x = 5

Since y = 6x -27, we see that y = 6(5) - 27 = 30 - 27 =3.

x = 5 and y = 3.