SOLUTION: solve the equation for y
3/4 +5y=20
2/3x-1/2y=12
Algebra.Com
Question 147154: solve the equation for y
3/4 +5y=20
2/3x-1/2y=12
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the first equation.
Multiply both sides by the LCD to clear any fractions.
Distribute and multiply.
----------------
Move onto the next equation.
Multiply both sides by the LCD to clear any fractions.
Distribute and multiply.
So we have the given system of equations:
Multiply the both sides of the first equation by -4.
Distribute and multiply.
Multiply the both sides of the second equation by 3.
Distribute and multiply.
So we have the new system of equations:
Now add the equations together. You can do this by simply adding the two left sides and the two right sides separately like this:
Group like terms.
Combine like terms. Notice how the x terms cancel out.
Simplify.
Divide both sides by to isolate .
Reduce.
------------------------------------------------------------------
Now go back to the first equation.
Plug in .
Multiply.
Multiply both sides by the LCD to clear any fractions.
Distribute and multiply.
Add to both sides.
Combine like terms on the right side.
Divide both sides by to isolate .
Reduce.
So our answer is and .
Which form the ordered pair )
.
This means that the two equations are consistent and independent.
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