Question

Find all solutions of the given system of equations and check your answer graphically. hint [see examples 1-4.] (if there is no solution, enter no solution. if the system is dependent, express your answer in terms of x, where y = y(x).) x − y = 0 x + y = 4

Answer 1

x − y = 0 = difference

x + y = 4 = sum

Can be solved by the sum and difference rule (most of the time without pen and paper)

x=(sum+difference)/2=0+4/2=2

y=(sum-difference)/2=(4-0)/2=2