What is 23x+31y=77,31x+23y=85 ?

The solution to 23x+31y=77,31x+23y=85 is x=2,y=1

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23x+31y=77,31x+23y=85

23 x + 31 y = 77, 31 x + 23 y = 85

x = 2, y = 1

Solution steps

[23 x + 31 y = 77 31 x + 23 y = 85]

Isolate

x

for

23 x + 31 y = 77 : x = \frac{77 - 31 y}{23}

Substitute

x = \frac{77 - 31 y}{23}

[31 \cdot \frac{77 - 31 y}{23} + 23 y = 85]

Simplify

[\frac{2387 - 432 y}{23} = 85]

Isolate

y

for

\frac{2387 - 432 y}{23} = 85 : y = 1

For

x = \frac{77 - 31 y}{23}

Substitute

y = 1

x = \frac{77 - 31 \cdot 1}{23}

\frac{77 - 31 \cdot 1}{23} = 2

x = 2

The solutions to the system of equations are:

x = 2, y = 1

2 x - 5 y = 1, x - 10 y = - 22

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

2 x + 3 y = 5, 4 x + 6 y - 10 = 0

\frac{a}{b} = \frac{9}{11}, a + b = 800

x + y = 10, x - y = - 2

What is 23x+31y=77,31x+23y=85 ?
The solution to 23x+31y=77,31x+23y=85 is x=2,y=1