What is 83x+71y=35,71x+83y=472 ?

The solution to 83x+71y=35,71x+83y=472 is x=-30607/1848 ,y= 36691/1848

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83x+71y=35,71x+83y=472

83 x + 71 y = 35, 71 x + 83 y = 472

x = - \frac{30607}{1848}, y = \frac{36691}{1848}

Solution steps

[83 x + 71 y = 35 71 x + 83 y = 472]

Isolate

x

for

83 x + 71 y = 35 : x = \frac{35 - 71 y}{83}

Substitute

x = \frac{35 - 71 y}{83}

[71 \cdot \frac{35 - 71 y}{83} + 83 y = 472]

Simplify

[\frac{2485 + 1848 y}{83} = 472]

Isolate

y

for

\frac{2485 + 1848 y}{83} = 472 : y = \frac{36691}{1848}

For

x = \frac{35 - 71 y}{83}

Substitute

y = \frac{36691}{1848}

x = \frac{35 - 71 \cdot \frac{36691}{1848}}{83}

\frac{35 - 71 \cdot \frac{36691}{1848}}{83} = - \frac{30607}{1848}

x = - \frac{30607}{1848}

The solutions to the system of equations are:

x = - \frac{30607}{1848}, y = \frac{36691}{1848}

x + y = 7, x + 3 y = 15

x - y = 5, 2 x + 3 x = 0

7 x + y = 19, 4 x - y = 3

2 x + 5 y = 5, - 3 x + 7 y = 36

2 x + 3 y = 2, x - \frac{y}{2} = \frac{1}{2}

What is 83x+71y=35,71x+83y=472 ?
The solution to 83x+71y=35,71x+83y=472 is x=-30607/1848 ,y= 36691/1848