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).
Solve the system of equations.
−4x+6y=38
x−5y=−20(1 point)
1 answer