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

The solution to 4x+2y=1,4-4x+y=1 is x= 7/12 ,y=-2/3

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

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

x = \frac{7}{12}, y = - \frac{2}{3}

Solution steps

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

Isolate

x

for

4 x + 2 y = 1 : x = \frac{1 - 2 y}{4}

Substitute

x = \frac{1 - 2 y}{4}

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

Simplify

[3 y + 3 = 1]

Isolate

y

for

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

For

x = \frac{1 - 2 y}{4}

Substitute

y = - \frac{2}{3}

x = \frac{1 - 2 ( - \frac{2}{3} )}{4}

\frac{1 - 2 ( - \frac{2}{3} )}{4} = \frac{7}{12}

x = \frac{7}{12}

The solutions to the system of equations are:

x = \frac{7}{12}, y = - \frac{2}{3}

a + b = 3, a = 5 b

5 x + y = 1, 4 - 5 x + 5 y = 10

x - y = - 1, 3 x - 2 y = 12

x + y = 21, 3 x + 7 y = 107

11 x + 13 y = 1, 7 x - y = 0