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32 votes
32 votes
Can someone help me with this one, please?

(08.03)

A set of equations is given below:

Equation R: y = 5x + 10
Equation S: y = 5x + 5

Which of the following options is true about the solution to the given set of equations? (4 points)

Select one:

a.
One solution

b.
Two solutions

c.
Infinite solutions

d.
No solution

User Petkostas
by
2.7k points

2 Answers

27 votes
27 votes
D no solution this is a correct answer hope it helped
User Dave Mankoff
by
3.2k points
17 votes
17 votes

Answer:

There is no solution

Explanation:

The slopes are the same and the y-intercepts are different.

Think of this as the slope as an amount you get per week and y-intercept as how much you start off with. You have a friend that starts off with 10 dollars and gains 5 dollars every week and you start off with 5 dollars and gains 5 dollars every week. Will you ever catch up to your friend if you and your friend don't spend any money? I don't think so. The solution to a set of equations is when both equations have the same y value with the same x value.

Your welcome for the help and comment if you have any questions! :D

User KromviellBlack
by
3.0k points