What is x-y=55,x+y=110 ?

The solution to x-y=55,x+y=110 is x= 165/2 ,y= 55/2

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x-y=55,x+y=110

x - y = 55, x + y = 110

x = \frac{165}{2}, y = \frac{55}{2}

Solution steps

[x - y = 55 x + y = 110]

Isolate

x

for

x - y = 55 : x = 55 + y

Substitute

x = 55 + y

[55 + y + y = 110]

Simplify

[55 + 2 y = 110]

Isolate

y

for

55 + 2 y = 110 : y = \frac{55}{2}

For

x = 55 + y

Substitute

y = \frac{55}{2}

x = 55 + \frac{55}{2}

55 + \frac{55}{2} = \frac{165}{2}

x = \frac{165}{2}

The solutions to the system of equations are:

x = \frac{165}{2}, y = \frac{55}{2}

2 x - 3 y = 2, 3 x + 4 y = 20

5 x = 80, \frac{0}{5} x = 36, x = 18

2 x + 3 y = 4, 3 x - 3 y = - 9

15 x - 7 y = 66, 7 x + 2 y = 15

x + y = 18, 0 x - y = 40