Question

If you were to use the substitution method to solve the following system, choose the new equation after the expression equivalent to y from the first equation is substituted into the second equation.

Answer 1

In this question, we want the equation after substituting the first (solved for y) into the second.

To do this, we need to solve for y in the first equation:

`\begin{gathered} 6x-y=1 \\ 6x-y-1=0 \\ 6x-1=y \\ y=6x-1 \end{gathered}`

And now substitute it into the second equation, that is, we put 6x - 1 in place of every y.

`\begin{gathered} 4x-3y=-11 \\ 4x-3(6x-1)=-11 \end{gathered}`

By comparison, we can see that this is equivalent to the third alternative.