What is 55x+52y=21,752x+55y=217 ?

The solution to 55x+52y=21,752x+55y=217 is x= 10129/36079 ,y= 3857/36079

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55x+52y=21,752x+55y=217

55 x + 52 y = 21, 752 x + 55 y = 217

x = \frac{10129}{36079}, y = \frac{3857}{36079}

Solution steps

[55 x + 52 y = 21 752 x + 55 y = 217]

Isolate

x

for

55 x + 52 y = 21 : x = \frac{21 - 52 y}{55}

Substitute

x = \frac{21 - 52 y}{55}

[752 \cdot \frac{21 - 52 y}{55} + 55 y = 217]

Simplify

[\frac{15792 - 36079 y}{55} = 217]

Isolate

y

for

\frac{15792 - 36079 y}{55} = 217 : y = \frac{3857}{36079}

For

x = \frac{21 - 52 y}{55}

Substitute

y = \frac{3857}{36079}

x = \frac{21 - 52 \cdot \frac{3857}{36079}}{55}

\frac{21 - 52 \cdot \frac{3857}{36079}}{55} = \frac{10129}{36079}

x = \frac{10129}{36079}

The solutions to the system of equations are:

x = \frac{10129}{36079}, y = \frac{3857}{36079}

x - 3 y = - 2 x + 9, y = 4

- 3 x + 3 y = 1, 7 - 6 x + 6 y = - 5

5 x + 3 y = 16, 2 x + 3 y = 10

3 x + 2 y = 7, 9 x - 4 y = 1

x + 7 = 10, y - 4 = 3

What is 55x+52y=21,752x+55y=217 ?
The solution to 55x+52y=21,752x+55y=217 is x= 10129/36079 ,y= 3857/36079