Solve the system of linear equations. x + y = 4 2x − 3y = 18 A) (6, 2) B) (−6, 2) C) (6, −2) D) (−6, −2)

1 answer
Question:

Solve the system of linear equations.
x + y = 4
2x − 3y = 18
A) (6, 2)
B) (−6, 2)
C) (6, −2)
D) (−6, −2)

Answers

Answer: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-yx=4-yx is equal to 4-y. Use substitution to plug that in to the second equation for x. 2x-3y=182(4-y)-3y=18Now, solve for y. Expand. 2(4-y)-3y=188-2y-3y=18Combine like terms. 8-2y-3y=188-5y=18To get y by itself, subtract 8 from both sides. 8-8-5y=18-8-5y=10Lastly, divide both sides by -5. -5/-5y=10/-5y=-2Since we know that y is equal to -2, we can solve for x in the equation x=4-y. x=4-yx=4-(-2)*Negative & Negative makes a Positive*x=6Therefore, your answer is x being equal to 6, and y being equal to -2. Hope this helped!

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