Solve the system of linear equations.
x + y = 4
2x − 3y = 18

a) (6, 2)
b) (−6, 2)
c) (6, −2)
d) (−6, −2)

The answer is C) (6, -2).

Step-by-step explanation:

First, subtract both sides by y in the first equation, to figure out what x is.  

x+y-y=4-y

x=4-y

x is equal to 4-y. Use substitution to plug that in to the second equation for x.

2x-3y=18

2(4-y)-3y=18

Now, solve for y. Expand.

2(4-y)-3y=18

8-2y-3y=18

Combine like terms.

8-2y-3y=18

8-5y=18

To get y by itself, subtract 8 from both sides.

8-8-5y=18-8

-5y=10

Lastly, divide both sides by -5.

-5/-5y=10/-5

y=-2

Since we know that y is equal to -2, we can solve for x in the equation x=4-y.

x=4-y

x=4-(-2)

*Negative & Negative makes a Positive*

x=6

Therefore, your answer is x being equal to 6, and y being equal to -2.

Hope this helped!