What is 3/5*x-2/3*y+1=0, 1/3*y+2/5*x=4 ?

The solution to 3/5*x-2/3*y+1=0, 1/3*y+2/5*x=4 is x=5,y=6

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3/5x-2/3y+1=0, 1/3y+2/5x=4

\frac{3}{5} \cdot x - \frac{2}{3} \cdot y + 1 = 0, \frac{1}{3} \cdot y + \frac{2}{5} \cdot x = 4

x = 5, y = 6

Solution steps

[\frac{3}{5} x - \frac{2}{3} y + 1 = 0 \frac{1}{3} y + \frac{2}{5} x = 4]

Isolate

x

for

\frac{3}{5} \cdot x - \frac{2}{3} \cdot y + 1 = 0 : x = \frac{10 y - 15}{9}

Substitute

x = \frac{10 y - 15}{9}

[\frac{1}{3} y + \frac{2}{5} \cdot \frac{10 y - 15}{9} = 4]

Simplify

[\frac{7 y - 6}{9} = 4]

Isolate

y

for

\frac{7 y - 6}{9} = 4 : y = 6

For

x = \frac{10 y - 15}{9}

Substitute

y = 6

x = \frac{10 \cdot 6 - 15}{9}

\frac{10 \cdot 6 - 15}{9} = 5

x = 5

The solutions to the system of equations are:

x = 5, y = 6

4 x - 2 y = - 4, 4 x + 3 y = 16

3 x + 2 y = 21, 7 x + 3 y = 44

∣ x ∣ - 7 = - 6, x = 1

x + y = 10, x - y = 6

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

What is 3/5*x-2/3*y+1=0, 1/3*y+2/5*x=4 ?
The solution to 3/5*x-2/3*y+1=0, 1/3*y+2/5*x=4 is x=5,y=6