Question

Solve this system of linear equations. Separatethe x- and y-values with a comma.x = 11 - 2y-8x = 20 - 2y

Answer 1

Consider the system of equations,

`\begin{gathered} x=11-2y \\ -8x=20-2y \end{gathered}`

Substitute the value of 'x' from the first equation into the second equation,

`\begin{gathered} -8(11-2y)=20-2y \\ -88+16y=20-2y \\ 16y+2y=20+88 \\ 18y=108 \\ y=6 \end{gathered}`

Put this value in first equation and solve for 'x' as follows,

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

Thus, the solution to the given system of equations is (x, y) = (-1, 6)