Use elimination to solve this system of equations x-y=11 2x+y=19

x=10, y=-1

Step-by-step explanation:

The coefficients of y are opposites, so the y-variable can be eliminated by adding the two equations.

... (x -y) +(2x +y) = (11) +(19)

... 3x = 30 . . . . . simplify

... x = 10 . . . . . . .divide by the coefficient of x

Use either equation to find y. We can use the first one, for example:

... 10 -y = 11

... -1 = y . . . . . add y-11

The solution is (x, y) = (10, -1).