Question

Using elimination to solve the system of equations.

3x-5y=11
5(x+y)=5

Answer 1

3x - 5y = 11

5(x + y) = 5

Expand the second equation:

5x + 5y = 5

Add both equations:

3x - 5y = 11

5x + 5y = 5

8x = 16

Solve for x:

8x = 16

x = 2

Input x in any equation and solve for y:

3(2) - 5y = 11

6 - 5y = 11

-5y = 5

y = -1