What is x+3y=52,5x-2y=4 ?

The solution to x+3y=52,5x-2y=4 is x= 116/17 ,y= 256/17

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x+3y=52,5x-2y=4

x + 3 y = 52, 5 x - 2 y = 4

x = \frac{116}{17}, y = \frac{256}{17}

Solution steps

[x + 3 y = 52 5 x - 2 y = 4]

Isolate

x

for

x + 3 y = 52 : x = 52 - 3 y

Substitute

x = 52 - 3 y

[5 (52 - 3 y) - 2 y = 4]

Simplify

[260 - 17 y = 4]

Isolate

y

for

260 - 17 y = 4 : y = \frac{256}{17}

For

x = 52 - 3 y

Substitute

y = \frac{256}{17}

x = 52 - 3 \cdot \frac{256}{17}

52 - 3 \cdot \frac{256}{17} = \frac{116}{17}

x = \frac{116}{17}

The solutions to the system of equations are:

x = \frac{116}{17}, y = \frac{256}{17}

2 x + 3 y = 3, 6 y - 6 x = 1

3 x + 2 y = 9, 5 x + 3 y = 14

4 x + 3 y = 7, 5 x - 4 y = 32

x + 3 y = 5, 2 x - 3 y = - 8

7 x - 4 y = 5, 9 x + 8 y = 13

What is x+3y=52,5x-2y=4 ?
The solution to x+3y=52,5x-2y=4 is x= 116/17 ,y= 256/17