Question

Solve the system of equations.

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

Answer 1

C. (5, 3)

Explanation:

`\left\{\begin{array}{ccc}y=6x-27&(1)\\y=4x-17&(2)\end{array}\right\\\\\text{Substitute (1) to (2):}\\\\6x-27=4x-17\qquad\text{add 27 to both sides}\\6x=4x+10\qquad\text{subtract}\ 4x\ \text{From both sides}\\2x=10\qquad\text{divide both sides by 2}\\x=5\\\\\text{Put it to (2):}\\\\y=4(5)-17\\y=20-17\\y=3`