Solve the following system of equations using the method of elimination.

Question

5x+2y=15 and 4x - y=-1

Answer 1

Multiply the second equation by 2 to eliminate y:
5x + 2y = 15
8x - 2y = -2
------------------
13x = 13
x = 1

Substitute x = 1 into either equation to solve for y:
5(1) + 2y = 15
2y = 10
y = 5

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