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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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