What is the solution to this system of linear equations 3x - 2y = 14

5x+y=32

3x - 2y = 14

5x + y = 32

Since you have - 2y in the first equation and y in the second equation, multiply the second equation by 2, so you can add the equations and eliminate y.

3x - 2y = 14

10x + 2y = 64

Add the equations.

13x = 78

x = 6

Now let x = 6 in the first equation, and solve for y.

3x - 2y = 14

3 (6) - 2y = 14

18 - 2y = 14

-2y = - 4

y = 4

Solution: x = 6 and y = 2