What is 101x+99y=30,199x+101y=299 ?

The solution to 101x+99y=30,199x+101y=299 is x= 26571/9500 ,y=-24229/9500

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101x+99y=30,199x+101y=299

101 x + 99 y = 30, 199 x + 101 y = 299

x = \frac{26571}{9500}, y = - \frac{24229}{9500}

Solution steps

[101 x + 99 y = 30 199 x + 101 y = 299]

Isolate

x

for

101 x + 99 y = 30 : x = \frac{30 - 99 y}{101}

Substitute

x = \frac{30 - 99 y}{101}

[199 \cdot \frac{30 - 99 y}{101} + 101 y = 299]

Simplify

[\frac{5970 - 9500 y}{101} = 299]

Isolate

y

for

\frac{5970 - 9500 y}{101} = 299 : y = - \frac{24229}{9500}

For

x = \frac{30 - 99 y}{101}

Substitute

y = - \frac{24229}{9500}

x = \frac{30 - 99 ( - \frac{24229}{9500} )}{101}

\frac{30 - 99 ( - \frac{24229}{9500} )}{101} = \frac{26571}{9500}

x = \frac{26571}{9500}

The solutions to the system of equations are:

x = \frac{26571}{9500}, y = - \frac{24229}{9500}

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

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

2 x - 3 y = 14, 6 x + 4 y = 16

3 x + 2 y = 1, 4 - x + 4 y = 7

x - y = 4, x + 3 y = 0

What is 101x+99y=30,199x+101y=299 ?
The solution to 101x+99y=30,199x+101y=299 is x= 26571/9500 ,y=-24229/9500