Question

Use the substitution method to solve the system of equations.choose the correct ordered pair.

y=6x+2
y=x+17

A.(0,2)
B.(2,14)
C.(1,17)
D.(3,20)

Answer 1

D ( 3, 20 ) For A pex

Explanation:

Answer 2

`\left\{\begin{array}{ccc}y=6x+2&(*)\\y=x+17&(**)\end{array}\right\\\\\text{Substitute}\ (*)\ \text{to}\ (**):\\\\6x+2=x+17\qquad\text{subtract 2 from both sides}\\6x=x+15\qquad\text{subtract x from both sides}\\5x=15\qquad\text{divide both sides by 5}\\\boxed{x=3}\\\\\text{Put the value of x to the second equation}:\\\\y=3+17\\\boxed{y=20}\\\\Answer:\ \boxed{D.\ (3,\ 20)}`