What is 5x-4y+8=7,x+6y-9=0 ?

The solution to 5x-4y+8=7,x+6y-9=0 is x= 15/17 ,y= 23/17

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5x-4y+8=7,x+6y-9=0

5 x - 4 y + 8 = 7, x + 6 y - 9 = 0

x = \frac{15}{17}, y = \frac{23}{17}

Solution steps

[5 x - 4 y + 8 = 7 x + 6 y - 9 = 0]

Isolate

x

for

5 x - 4 y + 8 = 7 : x = \frac{4 y - 1}{5}

Substitute

x = \frac{4 y - 1}{5}

[\frac{4 y - 1}{5} + 6 y - 9 = 0]

Simplify

[\frac{34 y - 1}{5} - 9 = 0]

Isolate

y

for

\frac{34 y - 1}{5} - 9 = 0 : y = \frac{23}{17}

For

x = \frac{4 y - 1}{5}

Substitute

y = \frac{23}{17}

x = \frac{4 \cdot \frac{23}{17} - 1}{5}

\frac{4 \cdot \frac{23}{17} - 1}{5} = \frac{15}{17}

x = \frac{15}{17}

The solutions to the system of equations are:

x = \frac{15}{17}, y = \frac{23}{17}

11 x + 15 y + 23 = 7, x - 2 y - 20 = 0

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

41 x + 37 y = 77, 47 x + 51 y = 99

x - 2 y = 8, 2 x + y = 6

3 x + 2 y = - 1, 5 x + y = 4

What is 5x-4y+8=7,x+6y-9=0 ?
The solution to 5x-4y+8=7,x+6y-9=0 is x= 15/17 ,y= 23/17