Solve by substitution {x-4y=22} and {4x-5y=22}

X - 4y = 22

Add 4y to each side

x = 22 + 4y

Now replace x with 22 + 4y in the second equation.

4 (22 + 4y) - 5y = 22

Distribute.

88 + 16y - 5y = 22

Simplify.

88 + 11y = 22

Subtract 88 from each side.

11y = - 66

Divide by 11.

y = - 6

Plug in - 6 for y in an earlier equation and solve for x.

x-4 (-6) = 22

Negative 4 times negative 6 = 24 (the negatives cancel)

x+24=22

Subtract 24 from each side.

x = - 2