Question

Solve the system by substitution. 3х – 8y = -506у = x

Answer 1

We have the linear system of equations:

$\begin{gathered} 3x-8y=-50 \\ 6y=x \end{gathered}$

and we have to solve it by substitution.

We can replace the value of x, that is 6y, in the first equation and solve for y:

$\begin{gathered} 3x-8y=-50 \\ 3(6y)-8y=-50 \\ 18y-8y=-50 \\ 10y=-50 \\ y=\frac{-50}{10} \\ y=-5 \end{gathered}$

Now we can calculate x as:

$x=6y=6(-5)=-30$

Answer: x=-30 and y=-5