Solve the system of equations using multiplication.

3x + 8y = - 20

5x - y = - 19

[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]