Solve the problem using two linear equations in two variables and Cramer's rule.
-Twice the water flow in the hot-water pipe is the same as three times the flow in the cold-water pipe. The combined flow is 1400 liters/hr. What is the flow in each pipe?
A) 700 liters/hr hot, 467 liters/hr cold
B) 560 liters/hr hot, 840 liters/hr cold
C) 467 liters/hr hot, 700 liters/hr cold
D) 840 liters/hr hot, 560 liters/hr cold

Question

Quizplus · Accepted Answer

Let x be the flow in the hot-water pipe and y be the flow in the cold-water pipe. The equations are: 2x = 3y and x + y = 1400. Solving these using Cramer's rule gives x = 840 and y = 560.

Solve the Problem Using Two Linear Equations in Two Variables