What is 10x+51y=617,97x+49y=583 ?

The solution to 10x+51y=617,97x+49y=583 is x=-500/4457 ,y= 54019/4457

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10x+51y=617,97x+49y=583

10 x + 51 y = 617, 97 x + 49 y = 583

x = - \frac{500}{4457}, y = \frac{54019}{4457}

Solution steps

[10 x + 51 y = 617 97 x + 49 y = 583]

Isolate

x

for

10 x + 51 y = 617 : x = \frac{617 - 51 y}{10}

Substitute

x = \frac{617 - 51 y}{10}

[97 \cdot \frac{617 - 51 y}{10} + 49 y = 583]

Simplify

[\frac{59849 - 4457 y}{10} = 583]

Isolate

y

for

\frac{59849 - 4457 y}{10} = 583 : y = \frac{54019}{4457}

For

x = \frac{617 - 51 y}{10}

Substitute

y = \frac{54019}{4457}

x = \frac{617 - 51 \cdot \frac{54019}{4457}}{10}

\frac{617 - 51 \cdot \frac{54019}{4457}}{10} = - \frac{500}{4457}

x = - \frac{500}{4457}

The solutions to the system of equations are:

x = - \frac{500}{4457}, y = \frac{54019}{4457}

5 x - 4 y = 2, 6 x - 3 y = 2

3 x = 9 \cdot 3 y, 8 \cdot 2 y = 4 x

x + y + z = 6, x - y + z = 2, x + 2 y - z = 2

2 x - 3 y + 9 = 0, x + 2 y = - 1

x + 2 z = 1, y + z = 4

What is 10x+51y=617,97x+49y=583 ?
The solution to 10x+51y=617,97x+49y=583 is x=-500/4457 ,y= 54019/4457