What is 31x+29y=33,29x+31y=27 ?

The solution to 31x+29y=33,29x+31y=27 is x=2,y=-1

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31x+29y=33,29x+31y=27

31 x + 29 y = 33, 29 x + 31 y = 27

x = 2, y = - 1

Solution steps

[31 x + 29 y = 33 29 x + 31 y = 27]

Isolate

x

for

31 x + 29 y = 33 : x = \frac{33 - 29 y}{31}

Substitute

x = \frac{33 - 29 y}{31}

[29 \cdot \frac{33 - 29 y}{31} + 31 y = 27]

Simplify

[\frac{957 + 120 y}{31} = 27]

Isolate

y

for

\frac{957 + 120 y}{31} = 27 : y = - 1

For

x = \frac{33 - 29 y}{31}

Substitute

y = - 1

x = \frac{33 - 29 ( - 1 )}{31}

\frac{33 - 29 ( - 1 )}{31} = 2

x = 2

The solutions to the system of equations are:

x = 2, y = - 1

7 a - 6 b = 9, - 2 a + 7 b = 8

x + 2 y + z = 2, 2 x + y + 2 z = 9

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

2 x - y = 3, 2 x + 3 y = 15

2 x - 3 y = 1, 5 x + 2 y = 12

What is 31x+29y=33,29x+31y=27 ?
The solution to 31x+29y=33,29x+31y=27 is x=2,y=-1