What is 5x+2 y/3 =1,2x+y/2 =1 ?

The solution to 5x+2 y/3 =1,2x+y/2 =1 is x=-1/7 ,y= 18/7

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5x+2 y/3 =1,2x+y/2 =1

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

x = - \frac{1}{7}, y = \frac{18}{7}

Solution steps

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

Isolate

x

for

5 x + 2 \frac{y}{3} = 1 : x = \frac{3 - 2 y}{15}

Substitute

x = \frac{3 - 2 y}{15}

[2 \cdot \frac{3 - 2 y}{15} + \frac{y}{2} = 1]

Simplify

[\frac{12 + 7 y}{30} = 1]

Isolate

y

for

\frac{12 + 7 y}{30} = 1 : y = \frac{18}{7}

For

x = \frac{3 - 2 y}{15}

Substitute

y = \frac{18}{7}

x = \frac{3 - 2 \cdot \frac{18}{7}}{15}

\frac{3 - 2 \cdot \frac{18}{7}}{15} = - \frac{1}{7}

x = - \frac{1}{7}

The solutions to the system of equations are:

x = - \frac{1}{7}, y = \frac{18}{7}

2 x - 3 y = 0, 3 x + y = 10

x = \frac{1}{3} y, y = \frac{1}{2 z}

x + 5 y = 1, 6 x + 3 y = 10

4 x - 5 y - 20 = 0, 3 x + 5 y - 15 = 0

x + y = 14, 2 x + 2 y = 8

What is 5x+2 y/3 =1,2x+y/2 =1 ?
The solution to 5x+2 y/3 =1,2x+y/2 =1 is x=-1/7 ,y= 18/7