SOLUTION: Multiply both side of the equation by a common denominator to eliminate the fractions. Then solve the system. x/5+3y=31 2x-y/5=8 I have been struggling to try to solve th

Question 332786: Multiply both side of the equation by a common denominator to eliminate the
fractions. Then solve the system.
x/5+3y=31
2x-y/5=8
I have been struggling to try to solve this for over 4 days now and have had no
luck. We are given the final answer which is (5,10) but I can not figurge out
how they got to that. I need to show the work and solve the problem. Can
someone please help me.
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Solve:
1)
2) First multiply both sides of both equations by 5 to clear the fractons.
1a)
1b)
2a)
2b)
Now you have a choice here. You want to get both equations to have the number of either the x-variable or the y-variable so that you can subtract (or add) the two equation to eliminate that variable. I chose to multiply equation 1b) by 10 so that I can eliminate the x-variable by subtracting.
1c)
2b) Subtract equation 2b) from equation 1c) which eliminates the x-variable.
3) Now divide both sides by 151.
3a) Now substitute this into equation 1) or 2) to solve for x. I chose equation 2).
Substitute y = 10.
Simplify.
Add 2 to both sides.
Divide both sides by 2.

The answer is: (5, 10)
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