What is ((3x))/2-((5y))/3 =-2, x/3+y/2 = 13/6 ?

The solution to ((3x))/2-((5y))/3 =-2, x/3+y/2 = 13/6 is x=2,y=3

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((3x))/2-((5y))/3 =-2, x/3+y/2 = 13/6

\frac{( 3 x )}{2} - \frac{( 5 y )}{3} = - 2, \frac{x}{3} + \frac{y}{2} = \frac{13}{6}

x = 2, y = 3

Solution steps

[\frac{( 3 x )}{2} - \frac{( 5 y )}{3} = - 2 \frac{x}{3} + \frac{y}{2} = \frac{13}{6}]

Isolate

x

for

\frac{( 3 x )}{2} - \frac{( 5 y )}{3} = - 2 : x = \frac{- 12 + 10 y}{9}

Substitute

x = \frac{- 12 + 10 y}{9}

[\frac{\frac{- 12 + 10 y}{9}}{3} + \frac{y}{2} = \frac{13}{6}]

Simplify

[\frac{- 24 + 47 y}{54} = \frac{13}{6}]

Isolate

y

for

\frac{- 24 + 47 y}{54} = \frac{13}{6} : y = 3

For

x = \frac{- 12 + 10 y}{9}

Substitute

y = 3

x = \frac{- 12 + 10 \cdot 3}{9}

\frac{- 12 + 10 \cdot 3}{9} = 2

x = 2

The solutions to the system of equations are:

x = 2, y = 3

7 x - 4 y = 9, 4 y = 15

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

y - 4 x = - 42, \frac{( 2 x )}{9} + \frac{( 5 y )}{6} = - 3

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

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

What is ((3x))/2-((5y))/3 =-2, x/3+y/2 = 13/6 ?
The solution to ((3x))/2-((5y))/3 =-2, x/3+y/2 = 13/6 is x=2,y=3