Hich ordered pair is the solution to the system of equations? {x=(1)/(2)y+5} {2x+3y=-14}

(2, - 6 )

Step-by-step explanation:

Given the 2 equations

x = y + 5 → (1)

2x + 3y = - 14 → (2)

Substitute x = y + 5 into (2)

2( y + 5 ) + 3y = - 14 ← distribute and simplify left side

y + 10 + 3y = - 14

4y + 10 = - 14 ( subtract 10 from both sides )

4y = - 24 ( divide both sides by 4 )

y = - 6

Substitute y = - 6 into (1) for corresponding value of x

x = (0.5 × - 6 ) + 5 = - 3 + 5 = 2

Solution is (2, - 6 )

where are the options?

step-by-step explanation:

1

step-by-step explanation:

it's the only multiple of both and the least