SOLUTION: How do you solve this system of equation? 4x-3y=4 2x-y=1

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Question 190970This question is from textbook Holt Pre-Algebra
: How do you solve this system of equation?
4x-3y=4
2x-y=1
This question is from textbook Holt Pre-Algebra

Answer by nerdybill(7384)   (Show Source): You can put this solution on YOUR website!
There are several methods to solve a system of equations:
- elimination method
- substitution method
- matrix operations
.
Let's apply the elimination method:
4x-3y=4
2x-y=1
.
Multiply both sides of the second equation be -2 then combine both equations:
4x-3y=4
-4x+2y=-2
----------
-y =2
y=-2
.
Now, you can substitute the above into either equation (I'll pick the second) and solve for x:
2x-y=1
2x-(-2)=1
2x+2=1
2x = -1
x = -1/2
.
Solution: (x,y) = (-1/2, -2)

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