What is 2x+2y=1,3-x+4y=6 ?

The solution to 2x+2y=1,3-x+4y=6 is x=-1/5 ,y= 7/10

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2x+2y=1,3-x+4y=6

2 x + 2 y = 1, 3 - x + 4 y = 6

x = - \frac{1}{5}, y = \frac{7}{10}

Solution steps

[2 x + 2 y = 1 3 - x + 4 y = 6]

Isolate

x

for

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

Substitute

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

[3 - \frac{1 - 2 y}{2} + 4 y = 6]

Simplify

[\frac{- 1 + 10 y}{2} + 3 = 6]

Isolate

y

for

\frac{- 1 + 10 y}{2} + 3 = 6 : y = \frac{7}{10}

For

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

Substitute

y = \frac{7}{10}

x = \frac{1 - 2 \cdot \frac{7}{10}}{2}

\frac{1 - 2 \cdot \frac{7}{10}}{2} = - \frac{1}{5}

x = - \frac{1}{5}

The solutions to the system of equations are:

x = - \frac{1}{5}, y = \frac{7}{10}

0.3 e q = 3.5, p = 2

3 - 2 (3 x + 4 y) = x, \frac{( x - 3 )}{4} - \frac{( y - 4 )}{5} = \frac{21}{10}

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

x + y - 4 = 2, x - 3 y + 6 = 3 x - 4 y + 7

99 x + 101 y = 49, 9101 x + 99 y = 501