Email:
Password:
Remember Me
Forgot your password?
Log in
New to Satt Academy?
Create an account
or
Log in with Google Account
Home
Ask Question?
Business Account
Exam
Exam List
Exam Result
Category
1-12 Class
Board Exam
Admission
Job Solution
Skill Development
Book Collection
Video Content
Blog Content
Question
Ask Question?
Current Affairs
All MCQ Question
All Written Question
Upload Question
General
Study Plan
Hand Note
Notice | News
Other
FAQ
Point
Package
Feedback
Home
Academy
Admission
Job Assistant
Current Affairs
Skill
Forum
Blog
Package
Unauthenticate
Guest
example@gmail.com
Login
Description
Home
Edit Description
Back
Edit Description
Fill up the form and submit
Question
Given the equations below, what is the value of mn? 2(m + n) + m-9; 3m - 3n =24
5
-3
12
-15
ANSWER : 4
Descrption
<p style="margin-left:0px;">To find the value of mn, we can use the given equations:</p><ol><li>2(m + n) + m - 9 = 0</li><li>3m - 3n = 24</li></ol><p style="margin-left:0px;">First, we can simplify equation (2) by dividing both sides by 3:</p><p style="margin-left:0px;">3m - 3n = 24</p><p style="margin-left:0px;">Dividing both sides by 3 gives:</p><p style="margin-left:0px;">m - n = 8</p><p style="margin-left:0px;">Now, we can solve equation (1) for m in terms of n:</p><p style="margin-left:0px;">2(m + n) + m - 9 = 0</p><p style="margin-left:0px;">Distribute the 2 on the left side:</p><p style="margin-left:0px;">2m + 2n + m - 9 = 0</p><p style="margin-left:0px;">Combine like terms:</p><p style="margin-left:0px;">3m + 2n - 9 = 0</p><p style="margin-left:0px;">Add 9 to both sides:</p><p style="margin-left:0px;">3m + 2n = 9</p><p style="margin-left:0px;">Now, we can use the equation m - n = 8 to express m in terms of n:</p><p style="margin-left:0px;">m = n + 8</p><p style="margin-left:0px;">Substitute this expression for m into the equation 3m + 2n = 9:</p><p style="margin-left:0px;">3(n + 8) + 2n = 9</p><p style="margin-left:0px;">Distribute the 3 on the left side:</p><p style="margin-left:0px;">3n + 24 + 2n = 9</p><p style="margin-left:0px;">Combine like terms:</p><p style="margin-left:0px;">5n + 24 = 9</p><p style="margin-left:0px;">Subtract 24 from both sides:</p><p style="margin-left:0px;">5n = 9 - 24 5n = -15</p><p style="margin-left:0px;">Now, divide both sides by 5 to find n:</p><p style="margin-left:0px;">n = -15 / 5 n = -3</p><p style="margin-left:0px;">Now that we have found n, we can find m using m = n + 8:</p><p style="margin-left:0px;">m = -3 + 8 m = 5</p><p style="margin-left:0px;">So, the values of m and n are:</p><p style="margin-left:0px;">m = 5 n = -3</p><p style="margin-left:0px;">Now, we can find the value of mn:</p><p style="margin-left:0px;">mn = 5 * (-3) = -15</p><p style="margin-left:0px;">Therefore, mn = -15.</p>
Please, login first.
click here to login
Cancel
Login
©2024 SATT ACADEMY. All rights reserved.