 Mathematics
Precalculus. I am not that good at it

### Question Description

I’m trying to learn for my Calculus class and I’m stuck. Can you help?

• Write a problem for a classmate to solve that can be translated to a system of two (2) or more equations in at least two (2) variables. Explain your answer. Student has agreed that all tutoring, explanations, and answers provided by the tutor will be used to help in the learning process and in accordance with Studypool's honor code & terms of service. Problem:

The sum of two numbers is 60, and their product is 675.

Find the two numbers.

Solution:

Let the two numbers be x and y.

Their sum is 60, therefore

x + y = 60          (1)

Their product is 675, therefore

xy = 675            (2)

From (1), obtain

y = 60 - x           (3)

Substitute (3) into (2).

x(60-x) = 675

60x - x^2 = 675

x^2 - 60x + 675 = 0

Factorize to obtain (or you may use the quadratic formula)

(x - 15)(x - 45) = 0

x= 15, or x = 45

When x=15, use (3) to obtain y = 60 - 15 = 45

When x = 45, use (3) to obtain y = 60 - 45 = 15

The two numbers are 15 and 45. abotsi55 (1152)
UT Austin Anonymous
The tutor was pretty knowledgeable, efficient and polite. Great service! Anonymous
Heard about Studypool for a while and finally tried it. Glad I did caus this was really helpful. Anonymous
Just what I needed… fantastic! Studypool 4.7 Trustpilot 4.5 Sitejabber 4.4