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

The solution to 3x+2y=1,2x-y=5 is x= 11/7 ,y=-13/7

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

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

x = \frac{11}{7}, y = - \frac{13}{7}

Solution steps

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

Isolate

x

for

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

Substitute

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

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

Simplify

[\frac{2 - 7 y}{3} = 5]

Isolate

y

for

\frac{2 - 7 y}{3} = 5 : y = - \frac{13}{7}

For

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

Substitute

y = - \frac{13}{7}

x = \frac{1 - 2 ( - \frac{13}{7} )}{3}

\frac{1 - 2 ( - \frac{13}{7} )}{3} = \frac{11}{7}

x = \frac{11}{7}

The solutions to the system of equations are:

x = \frac{11}{7}, y = - \frac{13}{7}

x = 5 - 27, y = - 9 + 215

3 x + 8 y = 79, 505 x + 6 y = 6500

x - 3 y = 7, 6 x - 18 y = 17

x + 3 y = 12, 2 x - (- 4) y = 1

3 a - 2 b = 1, 8 - 2 a + 3 b = 17