Solve the system of equations for x and y.
x+y=a
x−y=b

x = (a+b)/2

y = (a-b)/2

Step-by-step explanation:

x+y=a

x−y=b

Add this two equations together to eliminate y

x+y=a

x−y=b

2x = a+b

Divide by 2

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

x = (a+b)/2

Subtract the two equations to eliminate x

x+y=a

-x+y=-b

2y = (a-b)

Divide by 2

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

y = (a-b)/2

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step-by-step explanation:

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step-by-step explanation: