Question

4x-7y=-6
-2x+7y=24
Show me how to slove this

Answer 1

Solve by elimination.

Equations:
(1) 4x − 7y = −6
(2) −2x + 7y = 24

Add (1) and (2) to eliminate y:
(4x − 7y) + (−2x + 7y) = −6 + 24
2x = 18
x = 9

Substitute x = 9 into (1):
4(9) − 7y = −6
36 − 7y = −6
−7y = −42
y = 6

Solution: x = 9, y = 6. (Check: −2(9)+7(6)=−18+42=24)