Question

hangers graphs the hangers and the graph represent the same system of equations. determine the solution to the system of equations. weight of circle (lb) hanger a y = 3x hanger b y = x + 3 0 5 10 weight of triangle (lb) submit and explain

Explanation:

Step1: Set the equations equal

Since \( y = 3x \) and \( y = x + 3 \), we set \( 3x = x + 3 \).

Step2: Solve for \( x \)

Subtract \( x \) from both sides: \( 3x - x = x + 3 - x \) → \( 2x = 3 \). Then divide by 2: \( x=\frac{3}{2}=1.5 \).

Step3: Find \( y \) using \( y = 3x \)

Substitute \( x = 1.5 \) into \( y = 3x \): \( y = 3\times1.5 = 4.5 \).

Answer:

The solution to the system is \( x = 1.5 \), \( y = 4.5 \) (or as an ordered pair \( (1.5, 4.5) \)).