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

Definite integral, Definite Integral : Given a function f ( x ) which is c...

Definite Integral : Given a function f ( x ) which is continuous on the interval [a,b] we divide the interval in n subintervals of equivalent width, Δx , and from each interval se

Explain that odd positive integer to be a perfect square, Show that for odd...

Show that for odd positive integer to be a perfect square, it should be of the form 8k +1. Let a=2m+1 Ans: Squaring both sides we get a2 = 4m (m +1) + 1 ∴ product of two

Question, What is a marketing plan

What is a marketing plan

Hcf and lcm, The HCF & LCM of two expressions are respectively (x+3) and (x...

The HCF & LCM of two expressions are respectively (x+3) and (x cube-7x+6). If one is x square+2x-3 , other is? Solution) (x+3) * (x^3-7x+6) = (x^2+2x-3) * y      ( ) (HCF*LCM=

Value of perfect information, Value of perfect information This relates...

Value of perfect information This relates to the amount that we would pay for an item of information such would enable us to forecast the exact conditions of the market and act

Finance, Determine the value of a $1800 investment after six years at 9.3% ...

Determine the value of a $1800 investment after six years at 9.3% per year, simple interest

Precalculus, how does sin of x equal negative 1/3

how does sin of x equal negative 1/3

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