What is 3x-2y=1,3x+5y=13 ?

The solution to 3x-2y=1,3x+5y=13 is x= 31/21 ,y= 12/7

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3x-2y=1,3x+5y=13

3 x - 2 y = 1, 3 x + 5 y = 13

x = \frac{31}{21}, y = \frac{12}{7}

Solution steps

[3 x - 2 y = 1 3 x + 5 y = 13]

Isolate

x

for

3 x - 2 y = 1 : x = \frac{1 + 2 y}{3}

Substitute

x = \frac{1 + 2 y}{3}

[3 \cdot \frac{1 + 2 y}{3} + 5 y = 13]

Simplify

[1 + 7 y = 13]

Isolate

y

for

1 + 7 y = 13 : y = \frac{12}{7}

For

x = \frac{1 + 2 y}{3}

Substitute

y = \frac{12}{7}

x = \frac{1 + 2 \cdot \frac{12}{7}}{3}

\frac{1 + 2 \cdot \frac{12}{7}}{3} = \frac{31}{21}

x = \frac{31}{21}

The solutions to the system of equations are:

x = \frac{31}{21}, y = \frac{12}{7}

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

3 x + y + z = 1, x + 2 y - z = 1, x + y + 2 z = 17

4 x + y = 1, 4 x - 2 y = 10

y = \frac{4}{5} x + 8, 2 x + y = - 6

3 x + 4 y = - 1, 3 x - y = 3

What is 3x-2y=1,3x+5y=13 ?
The solution to 3x-2y=1,3x+5y=13 is x= 31/21 ,y= 12/7