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32 votes
32 votes
Solve the system using substitution.
5x + 3y = -4
y - 2x = 6
([?], [ ])

User Lasseschou
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1 Answer

9 votes
9 votes
First we isolate y in the second equation since it’s the easiest. We do this by adding 2x
Y=2x+6
Now we can input this and substitute for equation 1
5x+3(2x+6)=-4
So we distribute to get
6x+ 18 within the parentheses
We add or subtract like terms such as 5x +6x to get 11x
-4-18=-22
Now we have 11x=-22
Divide by 11
X= -2
Now we plug this into equation 2 to solve for y
Y-2(-2)=6
Y+4=6
Subtract 4
Y=2
So
(-2,2) is the answer
Hope this helped
User Freelancer Mahmud
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