What is 71x+37y=25,337x+71y=287 ?

The solution to 71x+37y=25,337x+71y=287 is x= 737/619 ,y=-996/619

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71x+37y=25,337x+71y=287

71 x + 37 y = 25, 337 x + 71 y = 287

x = \frac{737}{619}, y = - \frac{996}{619}

Solution steps

[71 x + 37 y = 25 337 x + 71 y = 287]

Isolate

x

for

71 x + 37 y = 25 : x = \frac{25 - 37 y}{71}

Substitute

x = \frac{25 - 37 y}{71}

[337 \cdot \frac{25 - 37 y}{71} + 71 y = 287]

Simplify

[\frac{8425 - 7428 y}{71} = 287]

Isolate

y

for

\frac{8425 - 7428 y}{71} = 287 : y = - \frac{996}{619}

For

x = \frac{25 - 37 y}{71}

Substitute

y = - \frac{996}{619}

x = \frac{25 - 37 ( - \frac{996}{619} )}{71}

\frac{25 - 37 ( - \frac{996}{619} )}{71} = \frac{737}{619}

x = \frac{737}{619}

The solutions to the system of equations are:

x = \frac{737}{619}, y = - \frac{996}{619}

a = 5, b = 4

2 x - 3 y = - 4, 3 x + 7 y = - 1

10 x + 3 y = 2, 3 - 2 x + 5 y = 1

2 x + 3 y = 2, 2 x - 3 y = 0

5 x + 3 y = 9, 2 x + 3 y = 12

What is 71x+37y=25,337x+71y=287 ?
The solution to 71x+37y=25,337x+71y=287 is x= 737/619 ,y=-996/619