What is 29x+7y=15,5x-3y=29 ?

The solution to 29x+7y=15,5x-3y=29 is x= 124/61 ,y=-383/61

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29x+7y=15,5x-3y=29

29 x + 7 y = 15, 5 x - 3 y = 29

x = \frac{124}{61}, y = - \frac{383}{61}

Solution steps

[29 x + 7 y = 15 5 x - 3 y = 29]

Isolate

x

for

29 x + 7 y = 15 : x = \frac{15 - 7 y}{29}

Substitute

x = \frac{15 - 7 y}{29}

[5 \cdot \frac{15 - 7 y}{29} - 3 y = 29]

Simplify

[\frac{75 - 122 y}{29} = 29]

Isolate

y

for

\frac{75 - 122 y}{29} = 29 : y = - \frac{383}{61}

For

x = \frac{15 - 7 y}{29}

Substitute

y = - \frac{383}{61}

x = \frac{15 - 7 ( - \frac{383}{61} )}{29}

\frac{15 - 7 ( - \frac{383}{61} )}{29} = \frac{124}{61}

x = \frac{124}{61}

The solutions to the system of equations are:

x = \frac{124}{61}, y = - \frac{383}{61}

x + 4 y = 10, 3 x + 7 y = 25

x - y = 4, x = 3 y

5 x - 3 y + 4 z = - 7, 2 x + 5 z = 3, 7 y + 2 z = 12

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

4 x - y = 30, 6 x + y = 35

What is 29x+7y=15,5x-3y=29 ?
The solution to 29x+7y=15,5x-3y=29 is x= 124/61 ,y=-383/61