What is 5x-12y=21,3x+5y=20 ?

The solution to 5x-12y=21,3x+5y=20 is x= 345/61 ,y= 37/61

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5x-12y=21,3x+5y=20

5 x - 12 y = 21, 3 x + 5 y = 20

x = \frac{345}{61}, y = \frac{37}{61}

Solution steps

[5 x - 12 y = 21 3 x + 5 y = 20]

Isolate

x

for

5 x - 12 y = 21 : x = \frac{21 + 12 y}{5}

Substitute

x = \frac{21 + 12 y}{5}

[3 \cdot \frac{21 + 12 y}{5} + 5 y = 20]

Simplify

[\frac{63 + 61 y}{5} = 20]

Isolate

y

for

\frac{63 + 61 y}{5} = 20 : y = \frac{37}{61}

For

x = \frac{21 + 12 y}{5}

Substitute

y = \frac{37}{61}

x = \frac{21 + 12 \cdot \frac{37}{61}}{5}

\frac{21 + 12 \cdot \frac{37}{61}}{5} = \frac{345}{61}

x = \frac{345}{61}

The solutions to the system of equations are:

x = \frac{345}{61}, y = \frac{37}{61}

\frac{x}{3} + \frac{y}{4} = 6, + \frac{x}{6} + \frac{y}{2} = 6

2 x + y = 31, 3 y - x = 23

x + y = 7, x + y = 11

4 x + 6 y = - 1, 10 x + 18 y = 14

- x + 3 y - 13 = 0, - 4 x + 2 y - 22 = 0

What is 5x-12y=21,3x+5y=20 ?
The solution to 5x-12y=21,3x+5y=20 is x= 345/61 ,y= 37/61