What is 9x+3y=2,2x+2y=3 ?

The solution to 9x+3y=2,2x+2y=3 is x=-5/12 ,y= 23/12

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9x+3y=2,2x+2y=3

9 x + 3 y = 2, 2 x + 2 y = 3

x = - \frac{5}{12}, y = \frac{23}{12}

Solution steps

[9 x + 3 y = 2 2 x + 2 y = 3]

Isolate

x

for

9 x + 3 y = 2 : x = \frac{2 - 3 y}{9}

Substitute

x = \frac{2 - 3 y}{9}

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

Simplify

[\frac{4 + 12 y}{9} = 3]

Isolate

y

for

\frac{4 + 12 y}{9} = 3 : y = \frac{23}{12}

For

x = \frac{2 - 3 y}{9}

Substitute

y = \frac{23}{12}

x = \frac{2 - 3 \cdot \frac{23}{12}}{9}

\frac{2 - 3 \cdot \frac{23}{12}}{9} = - \frac{5}{12}

x = - \frac{5}{12}

The solutions to the system of equations are:

x = - \frac{5}{12}, y = \frac{23}{12}

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