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What is the solution to the following system of equations? {y=−3x−7 {x+2y=11 A. (1,9) B. ( 8,-5) C. (-5,8) D. (9,1)
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34 votes
34 votes
What is the solution to the following system of equations?

{y=−3x−7
{x+2y=11
A. (1,9)
B. ( 8,-5)
C. (-5,8)
D. (9,1)

User Patloew
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2.5k points

1 Answer

25 votes
25 votes
You can use substitution
Plug in -3x - 7 for y in second equation
x + 2(-3x - 7) = 11
x - 6x - 14 = 11
-5x = 25, x = -5
Plug plug -5 for x in first equation
Y = -3(-5) - 7
Y = 15-7, y = 8

Solution: C. (-5,8)
User Lindstromhenrik
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3.1k points
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