Question

| 50 POINTS | Which ordered pair is the solution of the linear system y=1/2x+1
and y=3/2x+4

Answer 1

(-3, -1/2)

Explanation:

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

`y=(3)/(2)x+4`

Move all the variables to one side and the numbers to the other

`(1)/(2)x-y=-1`

`(3)/(2)x-y=-4`

Multiply the first equation by -1 to solve by elimination

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

`(3)/(2)x-y=-4`

Subtract

`x=-3`

Use substitution

`y=((-3))/(2) +1`

`y=-1.5+1`

`y=-0.5=(-1)/(2)`