What is 99x+101y=49,9101x+99y=501 ?

The solution to 99x+101y=49,9101x+99y=501 is x= 915/18188 ,y= 7927/18188

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99x+101y=49,9101x+99y=501

99 x + 101 y = 49, 9101 x + 99 y = 501

x = \frac{915}{18188}, y = \frac{7927}{18188}

Solution steps

[99 x + 101 y = 49 9101 x + 99 y = 501]

Isolate

x

for

99 x + 101 y = 49 : x = \frac{49 - 101 y}{99}

Substitute

x = \frac{49 - 101 y}{99}

[9101 \cdot \frac{49 - 101 y}{99} + 99 y = 501]

Simplify

[\frac{445949 - 909400 y}{99} = 501]

Isolate

y

for

\frac{445949 - 909400 y}{99} = 501 : y = \frac{7927}{18188}

For

x = \frac{49 - 101 y}{99}

Substitute

y = \frac{7927}{18188}

x = \frac{49 - 101 \cdot \frac{7927}{18188}}{99}

\frac{49 - 101 \cdot \frac{7927}{18188}}{99} = \frac{915}{18188}

x = \frac{915}{18188}

The solutions to the system of equations are:

x = \frac{915}{18188}, y = \frac{7927}{18188}

5 m - 3 n = 1, 9 m - 6 n = - 7

2 x = 3 y - 14, 2 y = x + 8

x + 2 y = 17, x - 2 y = - 3

5 x + 7 y = 17, 3 x - 7 y = 10

\frac{1}{3} \cdot x - \frac{1}{3} \cdot y = - \frac{1}{3}, - \frac{1}{7} \cdot x + \frac{1}{8} \cdot y = \frac{2}{7}

What is 99x+101y=49,9101x+99y=501 ?
The solution to 99x+101y=49,9101x+99y=501 is x= 915/18188 ,y= 7927/18188