What is 5(x+2y)=6,y+105x+2y=20 ?

The solution to 5(x+2y)=6,y+105x+2y=20 is x= 182/1035 ,y= 106/207

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5(x+2y)=6,y+105x+2y=20

5 (x + 2 y) = 6, y + 105 x + 2 y = 20

x = \frac{182}{1035}, y = \frac{106}{207}

Solution steps

[5 (x + 2 y) = 6 y + 105 x + 2 y = 20]

Isolate

x

for

5 (x + 2 y) = 6 : x = \frac{6}{5} - 2 y

Substitute

x = \frac{6}{5} - 2 y

[y + 105 (\frac{6}{5} - 2 y) + 2 y = 20]

Simplify

[- 207 y + 126 = 20]

Isolate

y

for

- 207 y + 126 = 20 : y = \frac{106}{207}

For

x = \frac{6}{5} - 2 y

Substitute

y = \frac{106}{207}

x = \frac{6}{5} - 2 \cdot \frac{106}{207}

\frac{6}{5} - 2 \cdot \frac{106}{207} = \frac{182}{1035}

x = \frac{182}{1035}

The solutions to the system of equations are:

x = \frac{182}{1035}, y = \frac{106}{207}

y - 3 x = 0, x = 2

x + 5 y - 2 (x + 3 y) = 6, x - 2 y = - 3

3 x - 2 y = - 7, x + y = 6

8 x + 2 y = 7, 3 x - 4 y = 5

- 8 x + 3 y = - 15, 7 y - 2 x = 12

What is 5(x+2y)=6,y+105x+2y=20 ?
The solution to 5(x+2y)=6,y+105x+2y=20 is x= 182/1035 ,y= 106/207