What is 3x-2y=5,((2x))/3+y/2 =-7/9 ?

The solution to 3x-2y=5,((2x))/3+y/2 =-7/9 is x= 1/3 ,y=-2

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3x-2y=5,((2x))/3+y/2 =-7/9

3 x - 2 y = 5, \frac{( 2 x )}{3} + \frac{y}{2} = - \frac{7}{9}

x = \frac{1}{3}, y = - 2

Solution steps

[3 x - 2 y = 5 \frac{( 2 x )}{3} + \frac{y}{2} = - \frac{7}{9}]

Isolate

x

for

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

Substitute

x = \frac{5 + 2 y}{3}

[\frac{2 \cdot \frac{5 + 2 y}{3}}{3} + \frac{y}{2} = - \frac{7}{9}]

Simplify

[\frac{20 + 17 y}{18} = - \frac{7}{9}]

Isolate

y

for

\frac{20 + 17 y}{18} = - \frac{7}{9} : y = - 2

For

x = \frac{5 + 2 y}{3}

Substitute

y = - 2

x = \frac{5 + 2 ( - 2 )}{3}

Simplify

x = \frac{1}{3}

The solutions to the system of equations are:

x = \frac{1}{3}, y = - 2

y = \frac{5}{7}, x = 1

2 x + y - 3 z = 4, x + 2 y - 6 z = 0, x - y + z = 0

5 x - 3 y = - 5, 2 x + 4 y = 24

7 x + 8 y = \frac{1}{2}, 4 x + 12 y = \frac{29}{56}

2 x - y = 20, 2 x + y = 48

What is 3x-2y=5,((2x))/3+y/2 =-7/9 ?
The solution to 3x-2y=5,((2x))/3+y/2 =-7/9 is x= 1/3 ,y=-2