What is 27x+31y=85,31x+27y=89 ?

The solution to 27x+31y=85,31x+27y=89 is x=2,y=1

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27x+31y=85,31x+27y=89

27 x + 31 y = 85, 31 x + 27 y = 89

x = 2, y = 1

Solution steps

[27 x + 31 y = 85 31 x + 27 y = 89]

Isolate

x

for

27 x + 31 y = 85 : x = \frac{85 - 31 y}{27}

Substitute

x = \frac{85 - 31 y}{27}

[31 \cdot \frac{85 - 31 y}{27} + 27 y = 89]

Simplify

[\frac{2635 - 232 y}{27} = 89]

Isolate

y

for

\frac{2635 - 232 y}{27} = 89 : y = 1

For

x = \frac{85 - 31 y}{27}

Substitute

y = 1

x = \frac{85 - 31 \cdot 1}{27}

\frac{85 - 31 \cdot 1}{27} = 2

x = 2

The solutions to the system of equations are:

x = 2, y = 1

2 x - y + 3 = 0, - x + 3 y - 1 = 0

4 x - 5 y = 10, x + 3 y = 11

5 m - 3 n = 19, m - 6 n = - 7

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

x - 4 = 4, (y + 2) 3 (x - 2) + 2 y = 20

What is 27x+31y=85,31x+27y=89 ?
The solution to 27x+31y=85,31x+27y=89 is x=2,y=1