What is x+y=7,2x-3y=11 ?

The solution to x+y=7,2x-3y=11 is x= 32/5 ,y= 3/5

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

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

x = \frac{32}{5}, y = \frac{3}{5}

Solution steps

[x + y = 7 2 x - 3 y = 11]

Isolate

x

for

x + y = 7 : x = 7 - y

Substitute

x = 7 - y

[2 (7 - y) - 3 y = 11]

Simplify

[14 - 5 y = 11]

Isolate

y

for

14 - 5 y = 11 : y = \frac{3}{5}

For

x = 7 - y

Substitute

y = \frac{3}{5}

x = 7 - \frac{3}{5}

7 - \frac{3}{5} = \frac{32}{5}

x = \frac{32}{5}

The solutions to the system of equations are:

x = \frac{32}{5}, y = \frac{3}{5}

x + 3 y = 1, x - 3 y = 7

2 x + 3 y + 5 = 0, 3 x - 2 y + 2 = 0

5 x - y = 6, 5 x + 2 y = 2

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

23 x + 29 y = 98, 29 x - 23 y = 110