SOLUTION: Solve the given system by use of elimination: 0.05x+0.25y=11 0.15x+0.05y=12

Question 202425: Solve the given system by use of elimination:

0.05x+0.25y=11
0.15x+0.05y=12

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

Multiply EVERY term by 100 to make every value a whole number.

Multiply.

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

Move onto the second equation.

Multiply EVERY term by 100 to make every value a whole number.

Multiply.

So we have the given 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.

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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.

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