Question

Which ordered pair is the solution to the system of equations? {x=12y+52x+3y=−14 (18, 14) (8, 9) (2, −6) (−1, −12)

Answer 1

(2,-6)

Explanation:

Answer 2

(x,y)=(2,-6)

Explanation:

we are given system of equations as

`x=(1)/(2)y+5`

`2x+3y=−14`

now, we can plug first equation into second equation

`2((1)/(2)y+5)+3y=−14`

now, we can solve for y

`2\cdot (1)/(2)y+2\cdot \:5+3y=-14`

`4y+10=-14`

Subtract both sides by 10

`4y=-24`

divide both sides by 4

`y=-6`

now, we can plug back y=-6 and find x

`x=(1)/(2)*-6+5`

`x=-3+5`

`x=2`

so, we get solution as

(x,y)=(2,-6)