SOLUTION: 4x +2y = 4 3x + y = 4

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Question 117989This question is from textbook Beginning Algebra
: 4x +2y = 4
3x + y = 4
This question is from textbook Beginning Algebra

Answer by whit838(1) About Me  (Show Source):
You can put this solution on YOUR website!
The easiest way to solve this would be to isolate the y variable in the equation 3x+y=4
-3x+3x+y=4-3x
y=-3x+4
Now substitute -3x+4 in the other equation in place of y
4x+2(-3x+4)=4 Distribute
4x+-6x+8=4 add like terms
-2x-8=4 add -8 to both sides
8+-2x-8=4-8
-2x=-4 multiply both sides by -1/2
x=2
Go back and subtitute 2 for x in the other equation
3(2)+y=4
6+y=4
y=-2
Now to check your answers, go back and subtitute these values for x and y in either equation and see if they come out equal to 4.
3(2)+(-2)=4
6+-2=4
4=4
your answer is {2,-2}
make sure you put those values in a solution set and not as an ordered pair