What is 3x-4 y/2 =10,3x+2 y/4 =2 ?

The solution to 3x-4 y/2 =10,3x+2 y/4 =2 is x= 6/5 ,y=-16/5

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

3 x - 4 \frac{y}{2} = 10, 3 x + 2 \frac{y}{4} = 2

x = \frac{6}{5}, y = - \frac{16}{5}

Solution steps

[3 x - 4 \cdot \frac{y}{2} = 10 3 x + 2 \cdot \frac{y}{4} = 2]

Isolate

x

for

3 x - 4 \frac{y}{2} = 10 : x = \frac{10 + 2 y}{3}

Substitute

x = \frac{10 + 2 y}{3}

[3 \cdot \frac{10 + 2 y}{3} + 2 \cdot \frac{y}{4} = 2]

Simplify

[\frac{5 y}{2} + 10 = 2]

Isolate

y

for

\frac{5 y}{2} + 10 = 2 : y = - \frac{16}{5}

For

x = \frac{10 + 2 y}{3}

Substitute

y = - \frac{16}{5}

x = \frac{10 + 2 ( - \frac{16}{5} )}{3}

\frac{10 + 2 ( - \frac{16}{5} )}{3} = \frac{6}{5}

x = \frac{6}{5}

The solutions to the system of equations are:

x = \frac{6}{5}, y = - \frac{16}{5}

x - 2 y + 3 z = 2, 3 x - y + 4 z = 4, 2 x + y - 2 z = 5

x - y + 3 z - t = 5, - 2 z + t = 6, - 3 t = - 12

3 x + 2 y = 6, 2 x + 3 y = 9

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

2 x - 7 y = 7, 3 x + y = 22

What is 3x-4 y/2 =10,3x+2 y/4 =2 ?
The solution to 3x-4 y/2 =10,3x+2 y/4 =2 is x= 6/5 ,y=-16/5