SOLUTION: y=1/2x-3 y=-2x-2 We need step by step explanation to solve thhis system of equations

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Question 145402: y=1/2x-3 y=-2x-2
We need step by step explanation to solve thhis system of equations
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
y=%281%2F2%29x-3 Start with the first equation


-2x-2=%281%2F2%29x-3 Plug in y=-2x-2


%282%29%28-2x-2%29=%282%29%28%281%2Fcross%282%29%29x-3%29 Multiply both sides by the LCM of 2. This will eliminate the fractions (note: if you need help with finding the LCM, check out this solver)



-4x-4=x-6 Distribute and multiply the LCM to each side



-4x=x-6%2B4Add 4 to both sides


-4x-x=-6%2B4 Subtract x from both sides


-5x=-6%2B4 Combine like terms on the left side


-5x=-2 Combine like terms on the right side


x=%28-2%29%2F%28-5%29 Divide both sides by -5 to isolate x



x=2%2F5 Reduce. This is the first part of our answer.


y=%281%2F2%29x-3 Go back to the first equation


y=%281%2F2%29%282%2F5%29-3 Plug in x=2%2F5


y=1%2F5-3 Multiply


y=-14%2F5 Combine like terms



So our answer is x=2%2F5 and y=-14%2F5