The owner of a small business borrows money on three separate credit cards: x dollars on his Mastercard, y dollars on his Visa, and z dollars on his American Express card. These amounts satisfy the following equations.

1.18x+1.15y+1.09z=11,244.25
3.54x-.55y+.27z=3,732.75
.12x+.10y+.06z=829.50

How much did the owner borrow on each card?
@whpalmer4

Question

The owner of a small business borrows money on three separate credit cards: x dollars on his Mastercard, y dollars on his Visa, and z dollars on his American Express card. These amounts satisfy the following equations.

1.18x+1.15y+1.09z=11,244.25
3.54x-.55y+.27z=3,732.75
.12x+.10y+.06z=829.50

How much did the owner borrow on each card?
@whpalmer4

whpalmer4 · Answer

To start, I wouldmultiply everything by 100 to get rid of decimals.

whpalmer4 · Answer

Do you know how to solve with matrices?  I would do that if I knew how.  Failing that, use elimination to get two equations in two variables, then solve for the two.  Back ubstitute to ind the liminated variable

anonymous · Answer

oh ok.i would work it out and let u knw what i had

anonymous · Answer

one last question i would only like you in the next question to put it out in a linear equation form for me