Question

Solve for x and y:

x+y=c

x-y=a

Answer 1

x = (c+a)/2

y = (c-a)/2

Explanation:

x+y=c

x-y=a

Add together to eliminate y

x+y=c

x-y=a

--------------

2x = c+a

Divide by 2

2x/2 =(c+a)/2

x = (c+a)/2

Multiply the second equation by -1

-x+y =-a

Add the first equation

x+y =c

-x+y=-a

-----------------

2y = c-a

Divide by 2

2y/2= (c-a)/2

y = (c-a)/2