Answer:
2x + 15 = 21
Step-by-step explanation:
given the system of equations
3x + 5y = - 11 → (1)
- 2x + 10y = - 46 → (2)
Solve the system simultaneously for x
multiplying (1) by - 2 and adding the result to (2) will eliminate y
- 6x - 10y = 22 → (3)
add (2) and (3) term by term to eliminate y
(- 2x - 6x ) + (10y - 10y ) = - 46 + 22
- 8x + 0 = - 24
- 8x = - 24 ( divide both sides by - 8 )
x = 3
substitute x = 3 into 2x + 15 and evaluate
2x + 15 = 2(3) + 15 = 6 + 15 = 21