Sudhanshu is solving a system representing a race between two remote control cars. The variable x is defined as time in seconds,

Question

3 years ago

6

Sudhanshu is solving a system representing a race between two remote control cars. The variable x is defined as time in seconds,

and y is the distance in meters from the starting line.
Red car: y = 3 x + 5. Blue car: y = 4 x.

How many solutions should Sudhanshu find?
zero
one
two
infinite

Mathematics

1 answer:

Lunna [17] · Answer 1 · 2022-03-09T11:23:12+03:00

Answer:

One

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

m - slope
b - y-intercept

Solving systems of equations

Step-by-step explanation:

Step 1: Define

Identify systems

y = 3x + 5

y = 4x

Step 2: Solve

If we compare the 2 lines, we can see that they both have a different slope. If they had the same slope but different y-intercepts, then they would be parallel and have no solution. We can also see that the 2 lines aren't the same. If they were, then they would have infinite solutions.

∴ the systems should have only one solution.