What is 89x+91y=44,991x+89y=451 ?

The solution to 89x+91y=44,991x+89y=451 is x= 825/1828 ,y= 77/1828

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89x+91y=44,991x+89y=451

89 x + 91 y = 44, 991 x + 89 y = 451

x = \frac{825}{1828}, y = \frac{77}{1828}

Solution steps

[89 x + 91 y = 44 991 x + 89 y = 451]

Isolate

x

for

89 x + 91 y = 44 : x = \frac{44 - 91 y}{89}

Substitute

x = \frac{44 - 91 y}{89}

[991 \cdot \frac{44 - 91 y}{89} + 89 y = 451]

Simplify

[\frac{43604 - 82260 y}{89} = 451]

Isolate

y

for

\frac{43604 - 82260 y}{89} = 451 : y = \frac{77}{1828}

For

x = \frac{44 - 91 y}{89}

Substitute

y = \frac{77}{1828}

x = \frac{44 - 91 \cdot \frac{77}{1828}}{89}

\frac{44 - 91 \cdot \frac{77}{1828}}{89} = \frac{825}{1828}

x = \frac{825}{1828}

The solutions to the system of equations are:

x = \frac{825}{1828}, y = \frac{77}{1828}

2 x - 3 y = 10, 0.4 x - y = 10

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

x + 2 y = 5, 2 x - 2 y = 10

\frac{x}{10} + \frac{y}{5} = 1, 4 \frac{x}{8} + \frac{y}{6} = 15

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

What is 89x+91y=44,991x+89y=451 ?
The solution to 89x+91y=44,991x+89y=451 is x= 825/1828 ,y= 77/1828