Question

Solve the following system of equations:
4x + 3y = 17
3x + 2y = 13

Answer 1

(5, -1)

Explanation:

Solve the system of equations by elimination.

4x + 3y = 17

3x + 2y = 13

Multiply the top equation by -3 and the bottom equation by 4:

-12x - 9y = -51

12x + 8y = 52

Add these together:

-y = 1

y = -1

Plug in -1 as y into one of the equations, and solve for x:

4x + 3y = 17

4x + 3(-1) = 17

4x - 3 = 17

4x = 20

x = 5

So, the solution is (5, -1)

Answer 2

(x,y) = (5,-1)