Question

Which ordered pair is the solution to the system of linear equations y=5x+8 and -4x-1 ?

Answer 1

hello :

y=5x+8
y= -4x-1
5x+8 = -4x-1
9x =-9
x = -1
y = 5(-1)+8 = 3
ordered pair is the solution to the system : ( -1 , 3)

Answer 2

(-1,3)

Explanation:

`y=5x+8 , y=-4x-1`

Both sides have y on the left hand side so make the right hand side equal and solve for x

`5x+8= -4x-1`

To solve for x , add 4x on both sides

`9x+8=-1`

Subtract 8 on both sides

`9x=-9`

Divide by 9 on both sides

`x=-1`

Now plug in -1 for x in the first equation and find out y

`y=5x+8`

`y=5(-1)+8`

`y=-5+8`

`y=3`

Ordered pair is (x,y) that is (-1,3)