Question

Solve the system of equations using the substitution method.2. 6x+7y=195x+2y=-11

Answer 1

We are given the system of equations and asked to solve it using the substitution method.

`\begin{gathered} \begin{cases}6x+7y=19 \\ 5x+2y=-11\end{cases} \\ 6x+7y=19 \\ 7y=-6x+19 \\ y=-(6)/(7)x+(19)/(7) \\ 5x+2(-(6)/(7)x+(19)/(7))=-11 \\ 5x-(12)/(7)x+(38)/(7)=-11 \\ (23)/(7)x+(38)/(7)=-11 \\ 23x+38=-77 \\ 23x=-115 \\ x=-5 \\ 5(-5)+2y=-11 \\ -25+2y=-11 \\ 2y=14 \\ y=7 \\ \boxed{(-5,7)} \end{gathered}`