Write a system of equations that will solve the problem. It is not necessary to solve the problem. Alexandra works for two clients during one month. She works a total of 180 hours during the month. She works 50 hours more for one client (y) than for the other (x).
A) x + y = 180, x = y + 50
B) x - y = 180, x = y + 50
C) y - x = 180, y = x - 50
D) $x + y = 180 , y = x + 50$
E) x + y = 180, x - y = 50

Question

Quizplus · Accepted Answer

The system of equations should include one equation for the total hours worked (x + y = 180) and another equation for the difference in hours worked for each client (y = x + 50, as stated in the problem). The only choice that includes both of these equations is D.

Write a System of Equations That Will Solve the Problem x+y=180,y=x+50x + y = 180 , y = x + 50x+y=180,y=x+50

Write a System of Equations That Will Solve the Problem $x + y = 180 , y = x + 50$