What is 2x-2y=1,3x+5y=11 ?

The solution to 2x-2y=1,3x+5y=11 is x= 27/16 ,y= 19/16

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2x-2y=1,3x+5y=11

2 x - 2 y = 1, 3 x + 5 y = 11

x = \frac{27}{16}, y = \frac{19}{16}

Solution steps

[2 x - 2 y = 1 3 x + 5 y = 11]

Isolate

x

for

2 x - 2 y = 1 : x = \frac{1 + 2 y}{2}

Substitute

x = \frac{1 + 2 y}{2}

[3 \cdot \frac{1 + 2 y}{2} + 5 y = 11]

Simplify

[\frac{3 + 16 y}{2} = 11]

Isolate

y

for

\frac{3 + 16 y}{2} = 11 : y = \frac{19}{16}

For

x = \frac{1 + 2 y}{2}

Substitute

y = \frac{19}{16}

x = \frac{1 + 2 \cdot \frac{19}{16}}{2}

\frac{1 + 2 \cdot \frac{19}{16}}{2} = \frac{27}{16}

x = \frac{27}{16}

The solutions to the system of equations are:

x = \frac{27}{16}, y = \frac{19}{16}

2 x = 3, y - 142 y = x + 8

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

2 x = 5, y + 43 x - 2 y + 16 = 0

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

3 x + y = 13, 5 x - 2 y = 7

What is 2x-2y=1,3x+5y=11 ?
The solution to 2x-2y=1,3x+5y=11 is x= 27/16 ,y= 19/16