2cassettes and 3 cds cost $175 while four cassets and one cd cost $125. given that one cassette cost $x and a cd cost $y wright equations in x and y to represent the information above

So first, we gotta establish the 2 equations given to us which are:


and


Assuming you'll need them solved, I gotchu.

So with the second equation I put down, subtract 4x on each side of the equation to get  . Now with that equation, you are going to replace the y variable in the first equation and put in what y is equal to in the second equation.

And its gonna look like this  .

Now foil 3(-4x+125), and it'll look like this 

Combine like terms, and the equation should look like  .

Subtract 375 on each side of the equation so that the equation is 

Divide -10 on each side, and you should get  .

So now that we have gotten the price of the cassette, its much simpler to get the CD cost. Just replace the x variable with 20 in either equation.







To sum up, cassettes are $20 and CDs are $45.