Question

Solving systems of equations using substitution. Y=x+5. y=2x-7

Answer 1

Given the system of equations :

`\begin{gathered} y=x+5\rightarrow(1) \\ y=2x-7\rightarrow(2) \end{gathered}`

By substitution with y from equation (1) at equation (2)

`x+5=2x-7`

Solve the equation to find x

`\begin{gathered} x-2x=-7-5 \\ -x=-12 \\ \\ x=12 \end{gathered}`

By substitution with x at equation 1 to find y

`y=12+5=17`

So, the solution of the system of equations will be ;

`\begin{gathered} x=12 \\ y=17 \\ (x,y)=(12,17) \end{gathered}`