What is x/(4-3)= y/6 , 1/2 x-y=-2 ?

The solution to x/(4-3)= y/6 , 1/2 x-y=-2 is x= 4/11 ,y= 24/11

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x/(4-3)= y/6 , 1/2 x-y=-2

\frac{x}{4 - 3} = \frac{y}{6}, \frac{1}{2} x - y = - 2

x = \frac{4}{11}, y = \frac{24}{11}

Solution steps

[\frac{x}{4 - 3} = \frac{y}{6} \frac{1}{2} x - y = - 2]

Isolate

x

for

\frac{x}{4 - 3} = \frac{y}{6} : x = \frac{y}{6}

Substitute

x = \frac{y}{6}

[\frac{1}{2} \cdot \frac{y}{6} - y = - 2]

Simplify

[- \frac{11 y}{12} = - 2]

Isolate

y

for

- \frac{11 y}{12} = - 2 : y = \frac{24}{11}

For

x = \frac{y}{6}

Substitute

y = \frac{24}{11}

x = \frac{\frac{24}{11}}{6}

\frac{\frac{24}{11}}{6} = \frac{4}{11}

x = \frac{4}{11}

The solutions to the system of equations are:

x = \frac{4}{11}, y = \frac{24}{11}

2 x + 3 y = 8, x - y = - 1

x + 2 y - 8 = 2, x + 4 y = 16

3 x = 5, y - 17 = 0

7 x - 4 y = 49, 5 x - y = 57

2 x + 3 y = 0, 3 x - 8 y = 0

What is x/(4-3)= y/6 , 1/2 x-y=-2 ?
The solution to x/(4-3)= y/6 , 1/2 x-y=-2 is x= 4/11 ,y= 24/11