Solve the system of equations.

Question

−4x+6y=38
x−5y=−20(1 point)

Answer 1

To solve the system of equations:

- Start by multiplying the second equation by 4 to eliminate the x-term:

4(x - 5y = -20)
→ 4x - 20y = -80

- Add this new equation to the first equation to eliminate the x-term:

-4x + 6y = 38
+ 4x - 20y = -80
-----------------------
-14y = -42

- Solve for y:

-14y = -42
→ y = 3

- Substitute y = 3 into one of the original equations to solve for x:

x - 5y = -20
→ x - 5(3) = -20
→ x - 15 = -20
→ x = -5

- The solution to the system of equations is (x, y) = (-5, 3).