Answer:
(x, y) = (3, 4)
Step-by-step explanation:
The procedure usually recommended is to start by clearing fractions. Multiply the first equation by 6, the second by 12.
21x +14y = 119
3x +4y = 25
The first equation can be divided by 7 to get ...
3x + 2y = 17 . . . . . . . . equation in standard form
and that can be subtracted from the second to eliminate the x-variable:
(3x +4y) -(3x +2y) = (25) -(17)
2y = 8 . . . . . . simplify
y = 4 . . . . . . . .divide by 2
Using this in the third equation above, we have ...
3x + 2(4) = 17
3x = 9 . . . . . . . subtract 8
x = 3 . . . . . . . . .divide by 3
The solution is (x, y) = (3, 4).
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The solution is confirmed by a graphing calculator.
