What is 3/2 x+4/3 y=3,5x-y=5 ?

The solution to 3/2 x+4/3 y=3,5x-y=5 is x= 58/49 ,y= 45/49

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

\frac{3}{2} x + \frac{4}{3} y = 3, 5 x - y = 5

x = \frac{58}{49}, y = \frac{45}{49}

Solution steps

[\frac{3}{2} x + \frac{4}{3} y = 3 5 x - y = 5]

Isolate

x

for

\frac{3}{2} x + \frac{4}{3} y = 3 : x = \frac{18 - 8 y}{9}

Substitute

x = \frac{18 - 8 y}{9}

[5 \cdot \frac{18 - 8 y}{9} - y = 5]

Simplify

[\frac{90 - 49 y}{9} = 5]

Isolate

y

for

\frac{90 - 49 y}{9} = 5 : y = \frac{45}{49}

For

x = \frac{18 - 8 y}{9}

Substitute

y = \frac{45}{49}

x = \frac{18 - 8 \cdot \frac{45}{49}}{9}

\frac{18 - 8 \cdot \frac{45}{49}}{9} = \frac{58}{49}

x = \frac{58}{49}

The solutions to the system of equations are:

x = \frac{58}{49}, y = \frac{45}{49}

2 x + 4 y = 0, x + 3 y = 7

2 x + 3 y - z = 15, 17 x + 23 y = 189, 2 y - 3 z = - 15

x - 3 y + z = 2, 4 x - 4 y + z = 7, 2 x + y - 3 z = - 4

3 x + 5 y = 11, 2 x - y = 16

x - 2 y = 4, x - 2 y = 0, x + y = 4, x + y = 1

What is 3/2 x+4/3 y=3,5x-y=5 ?
The solution to 3/2 x+4/3 y=3,5x-y=5 is x= 58/49 ,y= 45/49