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