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Softa [21]
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]3 years ago
8 0

Answer:

One

General Formulas and Concepts:

<u>Algebra I</u>

Slope-Intercept Form: y = mx + b

  • m - slope
  • b - y-intercept

Solving systems of equations

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify systems</em>

y = 3x + 5

y = 4x

<u>Step 2: Solve</u>

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.

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Step-by-step explanation:

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