What is 3x+2y=1,4-x+4y=7 ?

The solution to 3x+2y=1,4-x+4y=7 is x=-1/7 ,y= 5/7

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3x+2y=1,4-x+4y=7

3 x + 2 y = 1, 4 - x + 4 y = 7

x = - \frac{1}{7}, y = \frac{5}{7}

Solution steps

[3 x + 2 y = 1 4 - x + 4 y = 7]

Isolate

x

for

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

Substitute

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

[4 - \frac{1 - 2 y}{3} + 4 y = 7]

Simplify

[\frac{- 1 + 14 y}{3} + 4 = 7]

Isolate

y

for

\frac{- 1 + 14 y}{3} + 4 = 7 : y = \frac{5}{7}

For

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

Substitute

y = \frac{5}{7}

x = \frac{1 - 2 \cdot \frac{5}{7}}{3}

\frac{1 - 2 \cdot \frac{5}{7}}{3} = - \frac{1}{7}

x = - \frac{1}{7}

The solutions to the system of equations are:

x = - \frac{1}{7}, y = \frac{5}{7}

x - y = 4, x + 3 y = 0

3 x + 4 y = - 7, - 3 x - 8 y = - 1

4 x - y = 20, 7 x + 2 y = 18

x - 2 y = 3, x + 4 y - 20 = 0

\frac{1}{7} x + \frac{1}{6} y = 3, \frac{1}{2} x + \frac{1}{3} y = 2