What is 13x+12y=38,12x-13y=38 ?

The solution to 13x+12y=38,12x-13y=38 is x= 950/313 ,y=-38/313

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13x+12y=38,12x-13y=38

13 x + 12 y = 38, 12 x - 13 y = 38

x = \frac{950}{313}, y = - \frac{38}{313}

Solution steps

[13 x + 12 y = 38 12 x - 13 y = 38]

Isolate

x

for

13 x + 12 y = 38 : x = \frac{38 - 12 y}{13}

Substitute

x = \frac{38 - 12 y}{13}

[12 \cdot \frac{38 - 12 y}{13} - 13 y = 38]

Simplify

[\frac{456 - 313 y}{13} = 38]

Isolate

y

for

\frac{456 - 313 y}{13} = 38 : y = - \frac{38}{313}

For

x = \frac{38 - 12 y}{13}

Substitute

y = - \frac{38}{313}

x = \frac{38 - 12 ( - \frac{38}{313} )}{13}

\frac{38 - 12 ( - \frac{38}{313} )}{13} = \frac{950}{313}

x = \frac{950}{313}

The solutions to the system of equations are:

x = \frac{950}{313}, y = - \frac{38}{313}

6 \cdot \frac{7}{( 2 x + 2 y )} = 3, x = 2

(11) 2 x + y = 8, x - 2 y = - 1

b = 12, a = 9

4 x + 3 y = 1, x + 3 y = 4

17 x + 23 y = 57, 23 x + 17 y = 63

What is 13x+12y=38,12x-13y=38 ?
The solution to 13x+12y=38,12x-13y=38 is x= 950/313 ,y=-38/313