Question

Solve the following system of equations using the method of elimination.
5x + 2y = 15
4 x-y = −1

Answer 1

To eliminate y, multiply the second equation by 2:

5x + 2y = 15
8x - 2y = -2

Add the two equations together:
13x = 13

solve for x:
x = 1

Substitute x = 1 into either equation to solve for y:

5(1) + 2y = 15
2y = 10
y = 5

Therefore, the solution to the system of equations is (1,5).