What is 2/5 x+3/5 y=3,7x-y=30 ?

The solution to 2/5 x+3/5 y=3,7x-y=30 is x= 105/23 ,y= 45/23

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2/5 x+3/5 y=3,7x-y=30

\frac{2}{5} x + \frac{3}{5} y = 3, 7 x - y = 30

x = \frac{105}{23}, y = \frac{45}{23}

Solution steps

[\frac{2}{5} x + \frac{3}{5} y = 3 7 x - y = 30]

Isolate

x

for

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

Substitute

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

[7 \cdot \frac{15 - 3 y}{2} - y = 30]

Simplify

[\frac{105 - 23 y}{2} = 30]

Isolate

y

for

\frac{105 - 23 y}{2} = 30 : y = \frac{45}{23}

For

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

Substitute

y = \frac{45}{23}

x = \frac{15 - 3 \cdot \frac{45}{23}}{2}

\frac{15 - 3 \cdot \frac{45}{23}}{2} = \frac{105}{23}

x = \frac{105}{23}

The solutions to the system of equations are:

x = \frac{105}{23}, y = \frac{45}{23}

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

3 x - 5 y = 30, 3 x - 2 y = 21

4 x + y = - 3, - 3 x + y = 11

8 x - 3 y = 18, - 2 x + 9 y = 12

31 x + 47 y = 15, 47 x + 31 y = 63

What is 2/5 x+3/5 y=3,7x-y=30 ?
The solution to 2/5 x+3/5 y=3,7x-y=30 is x= 105/23 ,y= 45/23