What is 16x+11y=15,411x+16y=89 ?

The solution to 16x+11y=15,411x+16y=89 is x= 739/4265 ,y= 4741/4265

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16x+11y=15,411x+16y=89

16 x + 11 y = 15, 411 x + 16 y = 89

x = \frac{739}{4265}, y = \frac{4741}{4265}

Solution steps

[16 x + 11 y = 15 411 x + 16 y = 89]

Isolate

x

for

16 x + 11 y = 15 : x = \frac{15 - 11 y}{16}

Substitute

x = \frac{15 - 11 y}{16}

[411 \cdot \frac{15 - 11 y}{16} + 16 y = 89]

Simplify

[\frac{6165 - 4265 y}{16} = 89]

Isolate

y

for

\frac{6165 - 4265 y}{16} = 89 : y = \frac{4741}{4265}

For

x = \frac{15 - 11 y}{16}

Substitute

y = \frac{4741}{4265}

x = \frac{15 - 11 \cdot \frac{4741}{4265}}{16}

\frac{15 - 11 \cdot \frac{4741}{4265}}{16} = \frac{739}{4265}

x = \frac{739}{4265}

The solutions to the system of equations are:

x = \frac{739}{4265}, y = \frac{4741}{4265}

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

2 x - 7 y = 6, 8 x - 28 y = 24

x - y = 7, x + y = 11

2 x + 3 y = 15, 3 x - 2 y = 29

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

What is 16x+11y=15,411x+16y=89 ?
The solution to 16x+11y=15,411x+16y=89 is x= 739/4265 ,y= 4741/4265