Question 145181This question is from textbook Beginning Algebra
: Help me please...
I have to find the solution to the system of equations by the substitution method. Check answers..and place the solution in the form (x,y), (a,b), (p,q), or (s,t).
Page 483
Number 6
4x+2y=4
3x+y=4
This question is from textbook Beginning Algebra
Answer by nerdybill(7384)   (Show Source):
You can put this solution on YOUR website! 4x+2y=4 <<--equation 1
3x+y=4 <<--equation 2
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Let's start by solving equation 2 for y:
3x+y=4
y=4-3x
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Now, using equation 1, substitute y for the value above:
4x+2y=4
4x+2(4-3x)=4
4x+8-6x=4
8-2x=4
-2x=-4
x=2
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To find y, substitute x for 2 into either equation -- I'll pick equation 2:
3x+y=4
3(2)+y=4
6+y=4
y=-2
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(x,y)=(2,-2)
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