Question

Solve the following linear system using the substitution method. Be sure to put your x and y values in the correct spots in the provided coordinate.

24=-3x+y
5y=15

Answer 1

The answer is (7,3)

Explanation:

to solve this systems of equations, set both equations equal to y (common variable in both equations).

`24-3x=y\\3=y`

by looking at both of these, we already know that y is equal to 3.

substitute y for 3 to solve for x.

`24-3x= 3`

subtract 24 from both sides.

`-3x= -21`

divide both sides by -3.

`x=7`

the ordered pair will be written as (7,3)

you can check your answer by substituting 7 and 3 for x and y.

`24= 3(7)+3\\24=21+3\\24=24`

hope this helps ;)