What is 49x+51y=49,951x+49y=501 ?

The solution to 49x+51y=49,951x+49y=501 is x= 463/922 ,y= 441/922

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49x+51y=49,951x+49y=501

49 x + 51 y = 49, 951 x + 49 y = 501

x = \frac{463}{922}, y = \frac{441}{922}

Solution steps

[49 x + 51 y = 49 951 x + 49 y = 501]

Isolate

x

for

49 x + 51 y = 49 : x = \frac{49 - 51 y}{49}

Substitute

x = \frac{49 - 51 y}{49}

[951 \cdot \frac{49 - 51 y}{49} + 49 y = 501]

Simplify

[\frac{46599 - 46100 y}{49} = 501]

Isolate

y

for

\frac{46599 - 46100 y}{49} = 501 : y = \frac{441}{922}

For

x = \frac{49 - 51 y}{49}

Substitute

y = \frac{441}{922}

x = \frac{49 - 51 \cdot \frac{441}{922}}{49}

\frac{49 - 51 \cdot \frac{441}{922}}{49} = \frac{463}{922}

x = \frac{463}{922}

The solutions to the system of equations are:

x = \frac{463}{922}, y = \frac{441}{922}

3 x + 2 y = 4, 4 x + 5 y = 17

3 x + 5 y = 17, 3 x + 2 y = 14

2 x + 3 y = 9, 2 x + y = - 1

5 x - 2 y = 0, 25 x + 4 y = 7

2 n = 1, 7 m = 7 g, b = 2

What is 49x+51y=49,951x+49y=501 ?
The solution to 49x+51y=49,951x+49y=501 is x= 463/922 ,y= 441/922