For this case we have the following system of equations:
[tex]x + 7y = 0\\2x-8y = 22[/tex]
According to the first equation we have:
[tex]x = -7y[/tex]
Thus, we have the equivalent system:
[tex]x = -7y\\2x-8y = 22[/tex]
Substituting the first equation in the second equation we have:
[tex]2 (-7y) -8y = 22\\-14y-8y = 22[/tex]
Equal signs are added and the same sign is placed:
[tex]-22y = 22\\y = \frac {22} {- 22}\\y = -1[/tex]
We look for the value of the variable x:
[tex]x = -7y\\x = -7 (-1)\\x = 7[/tex]
Thus, the system solution is: [tex](x, y) :( 7, -1)[/tex]
Answer:
[tex](x, y) :( 7, -1)[/tex]
