What is the solution to the system of equations below?
y=-1/2x+6 and y=-3/4 x-4
(-8,2)
(-8,-1)
(8.10)
(8.-10)
•

(-8, 2)

Step-by-step explanation:

set these equations equal to each other

1/2x + 6 = -3/4x -4

5/4 x = -10

x = -10x4/5 = -40/5 = -8

plug this x into one of the equations

y = 1/2 (-8) + 6

y = -4 + 6

y = 2

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2