SOLUTION: Solve using the substitution method x + y = -4 y = -3x + 2

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Question 170330This question is from textbook Introductory Algebra
: Solve using the substitution method
x + y = -4
y = -3x + 2 This question is from textbook Introductory Algebra

Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!
x+%2B+y+=+-4, EQN 1
y+=+-3x+%2B+2, EQN 2
In EQN 1, we get y=-x-4, EQN 3 ---> subst. in EQN 2
-x-4=-3x%2B2, combine similar terms
-x%2B3x=2%2B4
2x=6 ----> cross%282%29x%2Fcross%282%29=cross%286%293%2Fcross%282%29
highlight%28x=3%29,
Subst. in EQN 1
3%2By=-4
y=-4-3=highlight%28-7=y%29
See graph
---> see point of intersection (3,-7)
.
Thank you,
Jojo