What is 5x+4y=20,8x-5y=15 ?

The solution to 5x+4y=20,8x-5y=15 is x= 160/57 ,y= 85/57

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5x+4y=20,8x-5y=15

5 x + 4 y = 20, 8 x - 5 y = 15

x = \frac{160}{57}, y = \frac{85}{57}

Solution steps

[5 x + 4 y = 20 8 x - 5 y = 15]

Isolate

x

for

5 x + 4 y = 20 : x = \frac{20 - 4 y}{5}

Substitute

x = \frac{20 - 4 y}{5}

[8 \cdot \frac{20 - 4 y}{5} - 5 y = 15]

Simplify

[\frac{160 - 57 y}{5} = 15]

Isolate

y

for

\frac{160 - 57 y}{5} = 15 : y = \frac{85}{57}

For

x = \frac{20 - 4 y}{5}

Substitute

y = \frac{85}{57}

x = \frac{20 - 4 \cdot \frac{85}{57}}{5}

\frac{20 - 4 \cdot \frac{85}{57}}{5} = \frac{160}{57}

x = \frac{160}{57}

The solutions to the system of equations are:

x = \frac{160}{57}, y = \frac{85}{57}

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

3 x - 5 y - 4 = 0, 9 x - 2 y + 7 = 0

3 x - 2 y = - 5, 4 x + 5 y = 47

x + z = 5, 2 x + 3 z = 7

2 x - 3 y + 4 = 0, 3 x - 2 y + 3 = 0

What is 5x+4y=20,8x-5y=15 ?
The solution to 5x+4y=20,8x-5y=15 is x= 160/57 ,y= 85/57