Question

Solve with substitution method:y=6x-11-2x-3y=-7

Answer 1

The given system of equations is:

`\begin{gathered} y=6x-11\text{ Eq.(1)} \\ -2x-3y=-7\text{ Eq.(2)} \end{gathered}`

We can start by substituting Eq 1 into Eq 2 and solve for x:

`-2x-3(6x-11)=-7`

Apply the distributive property:

`\begin{gathered} -2x-3*6x+3*11=-7 \\ -2x-18x+33=-7 \\ -20x+33=-7 \\ -20x=-7-33 \\ -20x=-40 \\ x=(-40)/(-20) \\ x=2 \end{gathered}`

Now, replace the x-value into equation 1 and solve for y:

`\begin{gathered} y=6(2)-11 \\ y=12-11 \\ y=1 \end{gathered}`

Answer: x=2 and y=1