Question

Solve this system of equations using the substitution method. y = x + 7 - 2x - 11 = y ([?], [])

Answer 1

The solution is (-6,1).

Step-by-step explanation:

Given the system of equations:

`\begin{gathered} y=x+7 \\ -2x-11=y \end{gathered}`

Substitute y=x+7 into the second equation:

`-2x-11=x+7`

Next, solve the equation for x:

`\begin{gathered} -11-7=x+2x \\ -18=3x \\ (-18)/(3)=(3x)/(3) \\ x=-6 \end{gathered}`

Recall that y=x+7:

`\begin{gathered} y=x+7 \\ y=-6+7 \\ y=1 \end{gathered}`

The solution is (-6,1).