162k views
3 votes
The product of two integers is 72. One number is two less than five times the other.

Which of the following equations could be used to find one of the numbers?

2x2 - 5 = 72
2x2 - 5x = 72
5x2 - 2x = 72
5x2 - 2 = 72

2 Answers

3 votes
First number = x
Second number = 5x- 2

x(5x-2) = 72
5x2 - 2x = 72
User Staeff
by
8.3k points
4 votes
Answer:
5x^2 - 2x = 72

Step-by-step explanation:
Assume that the two numbers are x and y.
We are given that:
1- The product of the two numbers is 72, this means that:
xy = 72 .........> equation I
2- One number is 2 less than 5 times the other, this means that:
y = 5x - 2 ........> equation II
Substitute with equation I in equation II and simplify as follows:
xy = 72
x (5x-2) = 72
5x^2 - 2x = 72
Comparing the calculated result to the choices given, we will find that the correct choice is the third one

Hope this helps :)
User Rjbez
by
7.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories