What is 5x+3y=58,2x+8y=47 ?

The solution to 5x+3y=58,2x+8y=47 is x= 19/2 ,y= 7/2

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5x+3y=58,2x+8y=47

5 x + 3 y = 58, 2 x + 8 y = 47

x = \frac{19}{2}, y = \frac{7}{2}

Solution steps

[5 x + 3 y = 58 2 x + 8 y = 47]

Isolate

x

for

5 x + 3 y = 58 : x = \frac{58 - 3 y}{5}

Substitute

x = \frac{58 - 3 y}{5}

[2 \cdot \frac{58 - 3 y}{5} + 8 y = 47]

Simplify

[\frac{116 + 34 y}{5} = 47]

Isolate

y

for

\frac{116 + 34 y}{5} = 47 : y = \frac{7}{2}

For

x = \frac{58 - 3 y}{5}

Substitute

y = \frac{7}{2}

x = \frac{58 - 3 \cdot \frac{7}{2}}{5}

\frac{58 - 3 \cdot \frac{7}{2}}{5} = \frac{19}{2}

x = \frac{19}{2}

The solutions to the system of equations are:

x = \frac{19}{2}, y = \frac{7}{2}

4 x - 7 y = - 36, 11 x - 4 y = 23

x - y = 3, 2 x + 3 y = 16

x + y = 1, y = x + 3

x = 2, y = 4

9 x + 10 y = 29, 10 x + 9 y = 28

What is 5x+3y=58,2x+8y=47 ?
The solution to 5x+3y=58,2x+8y=47 is x= 19/2 ,y= 7/2