You were asked to solve the following word problem.

A metallurgist has one alloy containing 32% aluminum and another containing 43% aluminum. How many pounds of each alloy must he use to make 54 pounds of a third alloy containing 40% aluminum? (Round off the answers to the nearest hundredth.)

Let x= the pounds of the alloy used containing 32% aluminum.
Let y= the pounds of the alloy used containing 43% aluminum.

We will begin by determining the two equations in standard form, x+y=. Using the information given in the problem statement, enter the system of linear equations.