Solve for x, y

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\frac{77}{100}y+2137-y=0
Consider the second equation. Subtract y from both sides.
-\frac{23}{100}y+2137=0
Combine \frac{77}{100}y and -y to get -\frac{23}{100}y.
-\frac{23}{100}y=-2137
Subtract 2137 from both sides. Anything subtracted from zero gives its negation.
y=-2137\left(-\frac{100}{23}\right)
Multiply both sides by -\frac{100}{23}\approx -4.347826087, the reciprocal of -\frac{23}{100}=-0.23.
y=\frac{213700}{23}
Multiply -2137 and -\frac{100}{23}\approx -4.347826087 to get \frac{213700}{23}\approx 9291.304347826.
2137x=\frac{213700}{23}
Consider the first equation. Insert the known values of variables into the equation.
x=\frac{\frac{213700}{23}}{2137}
Divide both sides by 2137.
x=\frac{213700}{23\times 2137}
Express \frac{\frac{213700}{23}}{2137}\approx 4.347826087 as a single fraction.
x=\frac{213700}{49151}
Multiply 23 and 2137 to get 49151.
x=\frac{100}{23}
Reduce the fraction \frac{213700}{49151}\approx 4.347826087 to lowest terms by extracting and canceling out 2137.
x=\frac{100}{23} y=\frac{213700}{23}
The system is now solved.