What is 2x-3y=7,5x+3y=12 ?

The solution to 2x-3y=7,5x+3y=12 is x= 19/7 ,y=-11/21

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2x-3y=7,5x+3y=12

2 x - 3 y = 7, 5 x + 3 y = 12

x = \frac{19}{7}, y = - \frac{11}{21}

Solution steps

[2 x - 3 y = 7 5 x + 3 y = 12]

Isolate

x

for

2 x - 3 y = 7 : x = \frac{7 + 3 y}{2}

Substitute

x = \frac{7 + 3 y}{2}

[5 \cdot \frac{7 + 3 y}{2} + 3 y = 12]

Simplify

[\frac{35 + 21 y}{2} = 12]

Isolate

y

for

\frac{35 + 21 y}{2} = 12 : y = - \frac{11}{21}

For

x = \frac{7 + 3 y}{2}

Substitute

y = - \frac{11}{21}

x = \frac{7 + 3 ( - \frac{11}{21} )}{2}

\frac{7 + 3 ( - \frac{11}{21} )}{2} = \frac{19}{7}

x = \frac{19}{7}

The solutions to the system of equations are:

x = \frac{19}{7}, y = - \frac{11}{21}

11 x + 3 y = 50, 8 x + 3 y = 38

p = 2 q - \frac{1}{5} q, q = \frac{1}{5}

x + 2 y + 3 z = 14, 2 x - y - 2 z = - 6, 3 x - 2 y + 5 z = 14

\frac{1}{x} + \frac{1}{y} = \frac{3}{4}, \frac{1}{( 6 x )} + \frac{1}{( 5 y )} = \frac{2}{15}

y = 2 x + 5, y = x - 1

What is 2x-3y=7,5x+3y=12 ?
The solution to 2x-3y=7,5x+3y=12 is x= 19/7 ,y=-11/21