Answered

Westonci.ca is the trusted Q&A platform where you can get reliable answers from a community of knowledgeable contributors. Explore thousands of questions and answers from a knowledgeable community of experts on our user-friendly platform. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

the difference between two numbers is 9. the first number plus twice the other number is 27. find the two numbers

Sagot :

a-b=9    ......a=9+b
a+2b=27
(9+b)+2b=27
9+3b=27
3b=27-9
3b=18
b=6
a=9+b=6+9=15
SchwarzschildRadius
So,

Let's translate this into mathematical form.

x - y = 9
x + 2y = 27

Elimination by Addition
Divide both sides of the second equation by 2
[tex] \frac{1}{2}x + y = 13 \frac{1}{2} [/tex]

Add the two equations together
[tex] \frac{3}{2} x = \frac{45}{2} [/tex]

Multiply both sides by [tex] \frac{2}{3} [/tex]
[tex]x = \frac{90}{6} \ or \ 15[/tex]

Substitute
15 - y = 9

Subtract 15 from both sides
-y = -6
y = 6

Substitute
15 - 6 = 9
9 = 9 This checks.

15 + 2(6) = 27

Distribute
15 + 12 = 27
27 = 27 This also checks.

S = {(15,6)}
Thank you for choosing our service. We're dedicated to providing the best answers for all your questions. Visit us again. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.