Question

y = 11x
x + y = 60
a group of related linear equations is
called a system of linear equations.
where do the lines intersect?
(6, 60) (5, 55)
(5, 60) (6, 55)
(graph: x-axis labeled chaperones, y-axis labeled students. line x + y = 60 starts at (0,60) and decreases. line y = 11x starts at (0,0) and increases. they intersect around x=5, y=55?)

Explanation:

Step1: Check each point in \( y = 11x \)

• For \((6,60)\): \( 11\times6 = 66

eq60 \), so not on \( y = 11x \).

• For \((5,55)\): \( 11\times5 = 55 \), check \( x + y = 5 + 55 = 60 \), which matches \( x + y = 60 \).
• For \((5,60)\): \( 11\times5 = 55

eq60 \), not on \( y = 11x \).

• For \((6,55)\): \( 11\times6 = 66

eq55 \), not on \( y = 11x \).

Step2: Confirm intersection

The point \((5,55)\) satisfies both \( y = 11x \) and \( x + y = 60 \), so it's the intersection.

Answer:

B. (5, 55) (assuming the options are labeled, and (5,55) is the correct one from the given choices)