What is 67x+108y=-417,108x+67y=-458 ?

The solution to 67x+108y=-417,108x+67y=-458 is x=-3,y=-2

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67x+108y=-417,108x+67y=-458

67 x + 108 y = - 417, 108 x + 67 y = - 458

x = - 3, y = - 2

Solution steps

[67 x + 108 y = - 417 108 x + 67 y = - 458]

Isolate

x

for

67 x + 108 y = - 417 : x = \frac{- 417 - 108 y}{67}

Substitute

x = \frac{- 417 - 108 y}{67}

[108 \cdot \frac{- 417 - 108 y}{67} + 67 y = - 458]

Simplify

[\frac{- 45036 - 7175 y}{67} = - 458]

Isolate

y

for

\frac{- 45036 - 7175 y}{67} = - 458 : y = - 2

For

x = \frac{- 417 - 108 y}{67}

Substitute

y = - 2

x = \frac{- 417 - 108 ( - 2 )}{67}

\frac{- 417 - 108 ( - 2 )}{67} = - 3

x = - 3

The solutions to the system of equations are:

x = - 3, y = - 2

2 x + 3 y = 4, 3 x - 4 y = 23

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

0.4 b = 1, 2 c = 12.2, a = 6

\frac{8}{a} - \frac{9}{b} = 1, \frac{10}{a} + \frac{6}{b} = 7

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

What is 67x+108y=-417,108x+67y=-458 ?
The solution to 67x+108y=-417,108x+67y=-458 is x=-3,y=-2