What is the value of the lesser integer, Mathematics

Assignment Help:

The sum of three times a greater integer and 5 times a lesser integer is 9. Three less than the greater equivalent the lesser. What is the value of the lesser integer?

Let x = the lesser integer and let y = the greater integer. The ?rst sentence in the question provides the equation 3y + 5x = 9. The second sentence provides the equation y - 3 = x. Substitute y - 3 for x in the second equation: 3y + 5(y - 3) = 9. Use the distributive property on the left side of the equation: 3y + 5y - 15 = 9. Combine such as terms on the left side: 8y - 15 = 9; add 15 to both sides of the equation: 8y - 15 + 15 = 9 + 15. Simplify to: 8y = 24. Divide both sides of the equation by 8: 8y/8 =24/8.
This provides a solution of y = 3. Therefore the lesser, x, is three less than y, so x = 0.


Related Discussions:- What is the value of the lesser integer

How much wrapping paper will needed, Barbara is packing a wedding gift that...

Barbara is packing a wedding gift that is contained within a rectangular box 20 by 18 by 4 in. How much wrapping paper will she require? a. 512 in 2 b. 1,440 in 2 c. 1,0

Illustrate Ionic solids, Ionic solids, which have anionic vacancies because...

Ionic solids, which have anionic vacancies because of metal excess defect develop colour. Illustrate with the help of a suitable example.

What is the distance this car will travel in (3x - 8) hours, A car travels ...

A car travels at a rate of (4x2 - 2). What is the distance this car will travel in (3x - 8) hours? Use the formula distance = rate × time. Through substitution, distance = (4x2

Math makes sense pg 261 #3 c., A seahorse layes about 200 eggs.How would yo...

A seahorse layes about 200 eggs.How would you include this data on your pictograph.would you need to change anything.Explain the change.show your work.

Percentage, a washing machine costs $640 plus an installation charge of 7.5...

a washing machine costs $640 plus an installation charge of 7.5% what is the totalcost?

Play and learn maths, PLAY AND LEARN :  Children can learn many basic math...

PLAY AND LEARN :  Children can learn many basic mathematical concepts through games. They enjoy Mathematical concepts can be playing within familiar contexts. Their games also gen

Square and square root., the value of square root of 200multiplied by squar...

the value of square root of 200multiplied by square root of 5+

Decision-making under conditions of certainty, Decision-Making Under Condit...

Decision-Making Under Conditions of Certainty Conditions of certainty tend to be rare, especially when significant decisions are involved. Under conditions of certainty, decis

Theorem, Theorem, from Definition of Derivative  If f(x) is differenti...

Theorem, from Definition of Derivative  If f(x) is differentiable at x = a then f(x) is continuous at x =a. Proof : Since f(x) is differentiable at x = a we know, f'(a

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd