What is 5x+9y=12,4x-3y=8 ?

The solution to 5x+9y=12,4x-3y=8 is x= 36/17 ,y= 8/51

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5x+9y=12,4x-3y=8

5 x + 9 y = 12, 4 x - 3 y = 8

x = \frac{36}{17}, y = \frac{8}{51}

Solution steps

[5 x + 9 y = 12 4 x - 3 y = 8]

Isolate

x

for

5 x + 9 y = 12 : x = \frac{12 - 9 y}{5}

Substitute

x = \frac{12 - 9 y}{5}

[4 \cdot \frac{12 - 9 y}{5} - 3 y = 8]

Simplify

[\frac{48 - 51 y}{5} = 8]

Isolate

y

for

\frac{48 - 51 y}{5} = 8 : y = \frac{8}{51}

For

x = \frac{12 - 9 y}{5}

Substitute

y = \frac{8}{51}

x = \frac{12 - 9 \cdot \frac{8}{51}}{5}

\frac{12 - 9 \cdot \frac{8}{51}}{5} = \frac{36}{17}

x = \frac{36}{17}

The solutions to the system of equations are:

x = \frac{36}{17}, y = \frac{8}{51}

x + 7 y = - 2, 3 x + y = 34

5 x + 3 y = 26, 10 x - y = 38

7 y + 10 x - 8 = 2, y - 5 x - 18 = 0

2 x + y = 4, 2 x - 2 y = 10

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

What is 5x+9y=12,4x-3y=8 ?
The solution to 5x+9y=12,4x-3y=8 is x= 36/17 ,y= 8/51