What is 3x-y=1,4-2x+3y=14 ?

The solution to 3x-y=1,4-2x+3y=14 is x= 13/7 ,y= 32/7

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3x-y=1,4-2x+3y=14

3 x - y = 1, 4 - 2 x + 3 y = 14

x = \frac{13}{7}, y = \frac{32}{7}

Solution steps

[3 x - y = 1 4 - 2 x + 3 y = 14]

Isolate

x

for

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

Substitute

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

[4 - 2 \cdot \frac{1 + y}{3} + 3 y = 14]

Simplify

[\frac{- 2 + 7 y}{3} + 4 = 14]

Isolate

y

for

\frac{- 2 + 7 y}{3} + 4 = 14 : y = \frac{32}{7}

For

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

Substitute

y = \frac{32}{7}

x = \frac{1 + \frac{32}{7}}{3}

\frac{1 + \frac{32}{7}}{3} = \frac{13}{7}

x = \frac{13}{7}

The solutions to the system of equations are:

x = \frac{13}{7}, y = \frac{32}{7}

3 \cdot (- y) = 1, 2 \cdot + y = 9

2 x - 3 y = 10, 0.4 - y = 10

3 x - 4 y = 41, 11 x + 6 y = 47

x + 3 y = 13, 3 x + y = 7

3 x + 2 y + z = 14, 5 x - 4 y - z = 4

What is 3x-y=1,4-2x+3y=14 ?
The solution to 3x-y=1,4-2x+3y=14 is x= 13/7 ,y= 32/7