What is 5x+9y=51,8x+9y=22 ?

The solution to 5x+9y=51,8x+9y=22 is x=-29/3 ,y= 298/27

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5x+9y=51,8x+9y=22

5 x + 9 y = 51, 8 x + 9 y = 22

x = - \frac{29}{3}, y = \frac{298}{27}

Solution steps

[5 x + 9 y = 51 8 x + 9 y = 22]

Isolate

x

for

5 x + 9 y = 51 : x = \frac{51 - 9 y}{5}

Substitute

x = \frac{51 - 9 y}{5}

[8 \cdot \frac{51 - 9 y}{5} + 9 y = 22]

Simplify

[\frac{408 - 27 y}{5} = 22]

Isolate

y

for

\frac{408 - 27 y}{5} = 22 : y = \frac{298}{27}

For

x = \frac{51 - 9 y}{5}

Substitute

y = \frac{298}{27}

x = \frac{51 - 9 \cdot \frac{298}{27}}{5}

\frac{51 - 9 \cdot \frac{298}{27}}{5} = - \frac{29}{3}

x = - \frac{29}{3}

The solutions to the system of equations are:

x = - \frac{29}{3}, y = \frac{298}{27}

x + y = 9, 8 x - y = 0

\frac{4}{x} + \frac{3}{y} = 1, \frac{8}{x} - \frac{9}{y} = 7

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

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

5 x + 3 y = 21, x + 2 y = 12

What is 5x+9y=51,8x+9y=22 ?
The solution to 5x+9y=51,8x+9y=22 is x=-29/3 ,y= 298/27