SOLUTION: 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

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
.
.
Let's start by solving equation 2 for y:
3x+y=4
y=4-3x
.
.
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
.
.
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
.
.
(x,y)=(2,-2)

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