What is x/3+y-5=0,-x/2+3 y/5-7=0 ?

The solution to x/3+y-5=0,-x/2+3 y/5-7=0 is x=-40/7 ,y= 145/21

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x/3+y-5=0,-x/2+3 y/5-7=0

\frac{x}{3} + y - 5 = 0, - \frac{x}{2} + 3 \frac{y}{5} - 7 = 0

x = - \frac{40}{7}, y = \frac{145}{21}

Solution steps

[\frac{x}{3} + y - 5 = 0 - \frac{x}{2} + 3 \cdot \frac{y}{5} - 7 = 0]

Isolate

x

for

\frac{x}{3} + y - 5 = 0 : x = - 3 y + 15

Substitute

x = - 3 y + 15

[- \frac{- 3 y + 15}{2} + 3 \cdot \frac{y}{5} - 7 = 0]

Simplify

[\frac{21 y - 75}{10} - 7 = 0]

Isolate

y

for

\frac{21 y - 75}{10} - 7 = 0 : y = \frac{145}{21}

For

x = - 3 y + 15

Substitute

y = \frac{145}{21}

x = - 3 \cdot \frac{145}{21} + 15

- 3 \cdot \frac{145}{21} + 15 = - \frac{40}{7}

x = - \frac{40}{7}

The solutions to the system of equations are:

x = - \frac{40}{7}, y = \frac{145}{21}

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

3 x - 4 y = 3, x - y = - 9

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

x + y = 2, 2 x + y = 0

- 3 x + 7 y = - 16, - 9 x + 5 y = 16

What is x/3+y-5=0,-x/2+3 y/5-7=0 ?
The solution to x/3+y-5=0,-x/2+3 y/5-7=0 is x=-40/7 ,y= 145/21