SOLUTION: And now , i need your help with another problem in math Solve each system of questions 1. y=1/5x+10 y=x+5 2. y=1/3x+2 y=x+1 Because when i solved it , it was

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: And now , i need your help with another problem in math Solve each system of questions 1. y=1/5x+10 y=x+5 2. y=1/3x+2 y=x+1 Because when i solved it , it was      Log On


   

Question 143852: And now , i need your help with another problem in math
Solve each system of questions
1. y=1/5x+10
y=x+5
2. y=1/3x+2
y=x+1
Because when i solved it , it wasn't a even numbeers.
Thank you very much.
Alex
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
y=x%2B5 Start with the second equation


%281%2F5%29x%2B10=x%2B5 Plug in y=%281%2F5%29x%2B10 (ie replace y with %281%2F5%29x%2B10)


%285%29%28%281%2F5%29x%2B10%29=%285%29%281x%2B5%29 Multiply both sides by the LCM of 5. This will eliminate the fractions (note: if you need help with finding the LCM, check out this solver)



x%2B50=5x%2B25 Distribute and multiply the LCM to each side



x=5x%2B25-50Subtract 50 from both sides


x-5x=25-50 Subtract 5x from both sides


-4x=25-50 Combine like terms on the left side


-4x=-25 Combine like terms on the right side


x=%28-25%29%2F%28-4%29 Divide both sides by -4 to isolate x



x=25%2F4 Reduce


So the first part of our answer is x=25%2F4



y=%281%2F5%29x%2B10 Go back to the first equation


y=%281%2F5%29%2825%2F4%29%2B10 Plug in x=25%2F4


y=25%2F20%2B10 Multiply


y=5%2F4%2B10 Reduce


y=45%2F4 Add



So the second part of our answer is y=45%2F4



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Answer:

So our solutions are x=25%2F4 and y=45%2F4