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

Answer:

(-1,3)

Step-by-step 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)