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

The solution to x+y/3 =y+2/7 ,x=3y+1/2 is x= 11/49 ,y=-9/98

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x+y/3 =y+2/7 ,x=3y+1/2

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

x = \frac{11}{49}, y = - \frac{9}{98}

Solution steps

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

Substitute

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

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

Simplify

[\frac{1}{2} + \frac{10 y}{3} = y + \frac{2}{7}]

Isolate

y

for

\frac{1}{2} + \frac{10 y}{3} = y + \frac{2}{7} : y = - \frac{9}{98}

For

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

Substitute

y = - \frac{9}{98}

x = 3 (- \frac{9}{98}) + \frac{1}{2}

3 (- \frac{9}{98}) + \frac{1}{2} = \frac{11}{49}

x = \frac{11}{49}

The solutions to the system of equations are:

x = \frac{11}{49}, y = - \frac{9}{98}

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

x + y + z = 6, x + 2 y + 3 z = 1, 4 x + 4 y + 7 z = 30

m + n = 38, 2 m - 4 n = - 8

x + y = 16, 5 x + 2 y = 50

x + y = 20, x - y = 8

What is x+y/3 =y+2/7 ,x=3y+1/2 ?
The solution to x+y/3 =y+2/7 ,x=3y+1/2 is x= 11/49 ,y=-9/98