The sum of x and y is 9. The value of y is two more than the value of x. Write a system of equations to model this.

Answer 1

X+y = 9

y = x+2

x + (x+2) = 9

2x + 2 = 9

2x = 7

x = 7/2

then y = 7/2+4/2 = 11/2

note that x+y = 7/2+11/2 = 18/2 = 9

and x+2 = 7/2 +2 = 7/2 + 4/2 = 11/2 = y