SOLUTION: I) An owner of a small business borrows money on three separate credit cards. X dollars on his Mastercard, y dollars on his Visa Card, z dollars on his American Express card. These

Question 803306: I) An owner of a small business borrows money on three separate credit cards. X dollars on his Mastercard, y dollars on his Visa Card, z dollars on his American Express card. These amount satisfy the following equations.

1.18x + 1.15y + 1.09z = 11,244.25
3.54x - .55y + .27z = 3,732.75
.06x + .05y + .03z = 414.75
How much money did the owner borrow on each card

Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
.......eq.1
.......eq.2
.......eq.3........all equations multiply by to get whole numbers
___________________________________
.......eq.1
.......eq.2
.......eq.3
_____________________________
.......eq.1........multiply by then subtract eq.2 from eq.1
.......eq.2
______________________________
.......eq.1
-
.......eq.2
_______________________________

........divide by
.........solve for

....................eq.1a
go to
.......eq.3......plug in eq.1a

.......solve for

...............eq1b

go to .......eq.2......plug in eq.1a and eq.1b
............solve for

..........now find and

so, he borrows
dollars on his Mastercard,
dollars on his Visa Card,
dollars on his American Express card

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