Question

1. in which scenario would you most likely use systems of linear equations in real life?

a. measuring temperature
b. determining the time of day
c. planning a budget
d. calculating speed

1. what type of solution exists if two lines intersect at exactly one point?

a. infinitely many solutions
b. no solution
c. undefined
d. one solution

Explanation:

Step1: Analyze first question

Systems of linear equations help solve problems with multiple related variables. Planning a budget involves balancing multiple income/expense variables, unlike the other options which use single-variable calculations.

Step2: Analyze second question

For linear equations represented as lines, each intersection point is a solution. A single intersection means exactly one pair of values satisfies both equations.

Answer:

1. c. Planning a budget
2. d. One solution