What is x-2y=3,x+4y-20=0 ?

The solution to x-2y=3,x+4y-20=0 is x= 26/3 ,y= 17/6

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

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

x = \frac{26}{3}, y = \frac{17}{6}

Solution steps

[x - 2 y = 3 x + 4 y - 20 = 0]

Isolate

x

for

x - 2 y = 3 : x = 3 + 2 y

Substitute

x = 3 + 2 y

[3 + 2 y + 4 y - 20 = 0]

Simplify

[6 y - 17 = 0]

Isolate

y

for

6 y - 17 = 0 : y = \frac{17}{6}

For

x = 3 + 2 y

Substitute

y = \frac{17}{6}

x = 3 + 2 \cdot \frac{17}{6}

3 + 2 \cdot \frac{17}{6} = \frac{26}{3}

x = \frac{26}{3}

The solutions to the system of equations are:

x = \frac{26}{3}, y = \frac{17}{6}

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

x + y = - 4, - x + 2 y = 13

x - y = 28, x - 3 y = 10

2 x - y = 4, - 10 x + 5 y = 0

3 x + y = 5, 2 x - y = 0