What is 2x+3y=23,5x-20=8y ?

The solution to 2x+3y=23,5x-20=8y is x= 244/31 ,y= 75/31

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2x+3y=23,5x-20=8y

2 x + 3 y = 23, 5 x - 20 = 8 y

x = \frac{244}{31}, y = \frac{75}{31}

Solution steps

[2 x + 3 y = 23 5 x - 20 = 8 y]

Isolate

x

for

2 x + 3 y = 23 : x = \frac{23 - 3 y}{2}

Substitute

x = \frac{23 - 3 y}{2}

[5 \cdot \frac{23 - 3 y}{2} - 20 = 8 y]

Simplify

[\frac{5 ( 23 - 3 y )}{2} - 20 = 8 y]

Isolate

y

for

\frac{5 ( 23 - 3 y )}{2} - 20 = 8 y : y = \frac{75}{31}

For

x = \frac{23 - 3 y}{2}

Substitute

y = \frac{75}{31}

x = \frac{23 - 3 \cdot \frac{75}{31}}{2}

\frac{23 - 3 \cdot \frac{75}{31}}{2} = \frac{244}{31}

x = \frac{244}{31}

The solutions to the system of equations are:

x = \frac{244}{31}, y = \frac{75}{31}

2 x - 2 y = 1, 3 x + 5 y = 11

2 x = 3, y - 142 y = x + 8

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

2 x = 5, y + 43 x - 2 y + 16 = 0

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

What is 2x+3y=23,5x-20=8y ?
The solution to 2x+3y=23,5x-20=8y is x= 244/31 ,y= 75/31