SOLUTION: Solve by elimination 0.05x+0.25y=66 0.15+0.05y=72

Question 192048: Solve by elimination

0.05x+0.25y=66
0.15+0.05y=72

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the first equation.

Multiply both sides by 100 to clear out the decimals.

Distribute and multiply.

Move onto the second equation.

Multiply both sides by 100 to clear out the decimals.

Distribute and multiply.

So we have the system of equations:

Multiply the both sides of the second equation by -5.

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.

Simplify.

Divide both sides by to isolate .

Reduce.

------------------------------------------------------------------

Now go back to the first equation.

Plug in .

Multiply.

Subtract from both sides.

Combine like terms on the right side.

Divide both sides by to isolate .

Reduce.

So the solutions are and .

Which form the ordered pair

.

This means that the system is consistent and independent.
RELATED QUESTIONS
Solve by the elimination method. .05x+.25y=44... (answered by checkley77)

Solve by elimination: 0 =-15 + 2 x-y 0 =5 x + 5... (answered by stanbon)

solve by elimination x-3y=-16... (answered by checkley71,venugopalramana)

Solve system by elimination: -x+t=-1... (answered by Alan3354)

3x+4y=0 4x+2y=3 Solve by... (answered by scott8148)

solve by elimination method 8x-y=0... (answered by Cromlix)

solve by elimination 3x-y+5=0... (answered by Alan3354)

Solve ax+by+c=0 and bx+ay+c=0 by the elimination method, thanks. (answered by ikleyn)

.05x+.25y=11 and .15x+.05y=-12 (answered by stanbon)