What is 6x+3y=4,3x-2y=3 ?

The solution to 6x+3y=4,3x-2y=3 is x= 17/21 ,y=-2/7

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6x+3y=4,3x-2y=3

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

x = \frac{17}{21}, y = - \frac{2}{7}

Solution steps

[6 x + 3 y = 4 3 x - 2 y = 3]

Isolate

x

for

6 x + 3 y = 4 : x = \frac{4 - 3 y}{6}

Substitute

x = \frac{4 - 3 y}{6}

[3 \cdot \frac{4 - 3 y}{6} - 2 y = 3]

Simplify

[\frac{4 - 7 y}{2} = 3]

Isolate

y

for

\frac{4 - 7 y}{2} = 3 : y = - \frac{2}{7}

For

x = \frac{4 - 3 y}{6}

Substitute

y = - \frac{2}{7}

x = \frac{4 - 3 ( - \frac{2}{7} )}{6}

\frac{4 - 3 ( - \frac{2}{7} )}{6} = \frac{17}{21}

x = \frac{17}{21}

The solutions to the system of equations are:

x = \frac{17}{21}, y = - \frac{2}{7}

3 x - 2 y = 12, 4 x + 3 y = 5, 2 x - y = 2

y = 2 (x + 10), 3 x + 2 y = 19

- 4 x + y = 20, 6 x - 9 y = 0

3 x + 2 y = 11, 2 x - 4 = 5

a = \frac{2}{5}, b = 20