What is 5x+2y=12,11x-6y=38 ?

The solution to 5x+2y=12,11x-6y=38 is x= 37/13 ,y=-29/26

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5x+2y=12,11x-6y=38

5 x + 2 y = 12, 11 x - 6 y = 38

x = \frac{37}{13}, y = - \frac{29}{26}

Solution steps

[5 x + 2 y = 12 11 x - 6 y = 38]

Isolate

x

for

5 x + 2 y = 12 : x = \frac{12 - 2 y}{5}

Substitute

x = \frac{12 - 2 y}{5}

[11 \cdot \frac{12 - 2 y}{5} - 6 y = 38]

Simplify

[\frac{132 - 52 y}{5} = 38]

Isolate

y

for

\frac{132 - 52 y}{5} = 38 : y = - \frac{29}{26}

For

x = \frac{12 - 2 y}{5}

Substitute

y = - \frac{29}{26}

x = \frac{12 - 2 ( - \frac{29}{26} )}{5}

\frac{12 - 2 ( - \frac{29}{26} )}{5} = \frac{37}{13}

x = \frac{37}{13}

The solutions to the system of equations are:

x = \frac{37}{13}, y = - \frac{29}{26}

3 x - 2 y = 7, x + 4 y = 7

- 7 x - 2 y = - 1, 3 x - 2 y = 11

4 x + 3 y = 17, 3 x - 4 y = - 6

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

2 p + 3 q - 4 = 3, p - 2 q - 19 = 0

What is 5x+2y=12,11x-6y=38 ?
The solution to 5x+2y=12,11x-6y=38 is x= 37/13 ,y=-29/26