What is 2x-9y=9,5x+2y=27 ?

The solution to 2x-9y=9,5x+2y=27 is x= 261/49 ,y= 9/49

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2x-9y=9,5x+2y=27

2 x - 9 y = 9, 5 x + 2 y = 27

x = \frac{261}{49}, y = \frac{9}{49}

Solution steps

[2 x - 9 y = 9 5 x + 2 y = 27]

Isolate

x

for

2 x - 9 y = 9 : x = \frac{9 + 9 y}{2}

Substitute

x = \frac{9 + 9 y}{2}

[5 \cdot \frac{9 + 9 y}{2} + 2 y = 27]

Simplify

[\frac{45 + 49 y}{2} = 27]

Isolate

y

for

\frac{45 + 49 y}{2} = 27 : y = \frac{9}{49}

For

x = \frac{9 + 9 y}{2}

Substitute

y = \frac{9}{49}

x = \frac{9 + 9 \cdot \frac{9}{49}}{2}

\frac{9 + 9 \cdot \frac{9}{49}}{2} = \frac{261}{49}

x = \frac{261}{49}

The solutions to the system of equations are:

x = \frac{261}{49}, y = \frac{9}{49}

x + y = 1, 5 x - y = 9

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

- 3 x + 5 y = 5, 3 x + 2 y = 23

x + y = 25, 0 x + y = 400

x + y = - 7, 3 x - 5 y = 11

What is 2x-9y=9,5x+2y=27 ?
The solution to 2x-9y=9,5x+2y=27 is x= 261/49 ,y= 9/49