Question

unit 4 lesson 3 cumulative practice problem 1 in this hanger, the weight of the triangle is x and the weight of the square is y a. write an equation using x and y to represent the hanger.

Explanation:

Step1: Count shapes on left side

Left side: 1 triangle ($x$) + 3 squares ($y$), total weight: $x + 3y$

Step2: Count shapes on right side

Right side: 4 triangles ($x$) + 1 square ($y$), total weight: $4x + y$

Step3: Set weights equal (balanced hanger)

Since the hanger is balanced, left weight = right weight:
$x + 3y = 4x + y$

Answer:

$x + 3y = 4x + y$