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3x+5y=-11 and -2x+10y=-46, what is the value of 2x+15

Sagot :

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

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