Answer:
[tex]3x + 8y = -20[tex]
[tex]5x - y = -19[tex]
[tex]3x + 8y = -20[tex]
[tex]40x - 8y = -152[tex] (multiply both sides by 8)
Add the two equations together.
[tex](3x + 8y) + (40x - 8y) = -20 + (-152)[tex]
Which makes it
[tex]43x = -172[tex]
Then divide 43 by both sides.
[tex]x = -4[tex]
Then get [tex]y[tex] by substituting [tex]x[tex]
[tex]5 * (-4) - y = -19[tex]
And solve the equation.
[tex]5 * (-4) - y = -19[tex]
[tex]5 * (-4) - (-19) = y[tex]
[tex]-20 + 19 = y[tex]
[tex]y = -1[tex]
So the answer is:
[tex]x = -4 , y = -1[tex]
