What is 3x-5y-6=2,x+3y-6=0 ?

The solution to 3x-5y-6=2,x+3y-6=0 is x= 27/7 ,y= 5/7

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3x-5y-6=2,x+3y-6=0

3 x - 5 y - 6 = 2, x + 3 y - 6 = 0

x = \frac{27}{7}, y = \frac{5}{7}

Solution steps

[3 x - 5 y - 6 = 2 x + 3 y - 6 = 0]

Isolate

x

for

3 x - 5 y - 6 = 2 : x = \frac{5 y + 8}{3}

Substitute

x = \frac{5 y + 8}{3}

[\frac{5 y + 8}{3} + 3 y - 6 = 0]

Simplify

[\frac{14 y + 8}{3} - 6 = 0]

Isolate

y

for

\frac{14 y + 8}{3} - 6 = 0 : y = \frac{5}{7}

For

x = \frac{5 y + 8}{3}

Substitute

y = \frac{5}{7}

x = \frac{5 \cdot \frac{5}{7} + 8}{3}

\frac{5 \cdot \frac{5}{7} + 8}{3} = \frac{27}{7}

x = \frac{27}{7}

The solutions to the system of equations are:

x = \frac{27}{7}, y = \frac{5}{7}

2 x + 3 y = 32, 11 y - 9 x = 3

x - 4 y = - 5, 3 x - 8 y = 1

y = 2 x + 7, - 6 x - 2 y = - 4

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

x - 3 y = 3, x - 1 = 2 x - y

What is 3x-5y-6=2,x+3y-6=0 ?
The solution to 3x-5y-6=2,x+3y-6=0 is x= 27/7 ,y= 5/7