Answer:
x=7
y =-1
Step-by-step explanation:
Given is a system of equations in x and y as
[tex]x+7y=0\\2x-8y =22[/tex]
This can be written in matrix form as
Ax = B
[tex]\left[\begin{array}{ccc}1&7\\2&-8\end{array}\right]\left[\begin{array}{ccc}x\\y\end{array}\right] =\left[\begin{array}{ccc}0\\22\end{array}\right][/tex]
Let us find inverse of A
[tex]|A| = -8-14 =-22[/tex]
[tex]A^{-1} =\frac{-1}{22} *\left[\begin{array}{ccc}-8&-7\\-2&1\end{array}\right][/tex]
X= A ^(-1) B
x=7, y =-1
