What is 1/3 x+1/4 y=1, 2/3 x-3/4 y=1 ?

The solution to 1/3 x+1/4 y=1, 2/3 x-3/4 y=1 is x= 12/5 ,y= 4/5

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1/3 x+1/4 y=1, 2/3 x-3/4 y=1

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

x = \frac{12}{5}, y = \frac{4}{5}

Solution steps

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

Isolate

x

for

\frac{1}{3} x + \frac{1}{4} y = 1 : x = 3 - \frac{3}{4} y

Substitute

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

[\frac{2}{3} (3 - \frac{3}{4} y) - \frac{3}{4} y = 1]

Simplify

[\frac{8 - 5 y}{4} = 1]

Isolate

y

for

\frac{8 - 5 y}{4} = 1 : y = \frac{4}{5}

For

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

Substitute

y = \frac{4}{5}

x = 3 - \frac{3}{4} \cdot \frac{4}{5}

3 - \frac{3}{4} \cdot \frac{4}{5} = \frac{12}{5}

x = \frac{12}{5}

The solutions to the system of equations are:

x = \frac{12}{5}, y = \frac{4}{5}

2 x - 3 y = 15, 5 x + 4 y = 3

x + 2 y = 11, 2 x - 3 y = - 6

\frac{1}{2} x + 2 y = 6, \frac{1}{2} x - 2 y = 0

5 x + y = 11, 2 x - y = 8

5 x + 7 y = 8, 10 x + 6 y = 7

What is 1/3 x+1/4 y=1, 2/3 x-3/4 y=1 ?
The solution to 1/3 x+1/4 y=1, 2/3 x-3/4 y=1 is x= 12/5 ,y= 4/5