Class 8 Exam > Class 8 Questions > Solve: 4(y−2)+3=2(y+1)+5a)6b)4c)3d)2Cor...
Start Learning for Free
Solve: 4(y−2)+3=2(y+1)+5
- a)6
- b)4
- c)3
- d)2
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Solve: 4(y−2)+3=2(y+1)+5a)6b)4c)3d)2Correct answer is option 'A'...
Step 1: Expand the Equation
To solve the equation 4(y−2)+3=2(y+1)+5, begin by expanding both sides.
- Left side: 4(y−2) + 3 = 4y - 8 + 3 = 4y - 5
- Right side: 2(y+1) + 5 = 2y + 2 + 5 = 2y + 7
Now, rewrite the equation:
4y - 5 = 2y + 7
Step 2: Isolate the Variable
Next, isolate the variable y by getting all terms involving y on one side and constant terms on the other side.
- Subtract 2y from both sides:
4y - 2y - 5 = 7
- This simplifies to:
2y - 5 = 7
Now, add 5 to both sides:
2y = 7 + 5
2y = 12
Step 3: Solve for y
Finally, divide both sides by 2 to find y:
y = 12 / 2
y = 6
Conclusion
The solution to the equation is y = 6, which corresponds to option 'A'.
By following these steps, you can effectively solve linear equations by expanding, isolating the variable, and simplifying.
To solve the equation 4(y−2)+3=2(y+1)+5, begin by expanding both sides.
- Left side: 4(y−2) + 3 = 4y - 8 + 3 = 4y - 5
- Right side: 2(y+1) + 5 = 2y + 2 + 5 = 2y + 7
Now, rewrite the equation:
4y - 5 = 2y + 7
Step 2: Isolate the Variable
Next, isolate the variable y by getting all terms involving y on one side and constant terms on the other side.
- Subtract 2y from both sides:
4y - 2y - 5 = 7
- This simplifies to:
2y - 5 = 7
Now, add 5 to both sides:
2y = 7 + 5
2y = 12
Step 3: Solve for y
Finally, divide both sides by 2 to find y:
y = 12 / 2
y = 6
Conclusion
The solution to the equation is y = 6, which corresponds to option 'A'.
By following these steps, you can effectively solve linear equations by expanding, isolating the variable, and simplifying.
Free Test
FREE
| Start Free Test |
Community Answer
Solve: 4(y−2)+3=2(y+1)+5a)6b)4c)3d)2Correct answer is option 'A'...
Expanding both sides:
4y−8+3=2y+2+5
4y−5=2y+7
Transposing 2y to LHS and −5 to RHS:
4y−2y=7+5
2y=12
Dividing by 2:
y=6
Therefore, option (A) is correct.
|
Explore Courses for Class 8 exam
|
|
Top Courses for Class 8View all
Question Description
Solve: 4(y−2)+3=2(y+1)+5a)6b)4c)3d)2Correct answer is option 'A'. Can you explain this answer? for Class 8 2025 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about Solve: 4(y−2)+3=2(y+1)+5a)6b)4c)3d)2Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 8 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Solve: 4(y−2)+3=2(y+1)+5a)6b)4c)3d)2Correct answer is option 'A'. Can you explain this answer?.
Solve: 4(y−2)+3=2(y+1)+5a)6b)4c)3d)2Correct answer is option 'A'. Can you explain this answer? for Class 8 2025 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about Solve: 4(y−2)+3=2(y+1)+5a)6b)4c)3d)2Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 8 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Solve: 4(y−2)+3=2(y+1)+5a)6b)4c)3d)2Correct answer is option 'A'. Can you explain this answer?.
Solutions for Solve: 4(y−2)+3=2(y+1)+5a)6b)4c)3d)2Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 8.
Download more important topics, notes, lectures and mock test series for Class 8 Exam by signing up for free.
Here you can find the meaning of Solve: 4(y−2)+3=2(y+1)+5a)6b)4c)3d)2Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Solve: 4(y−2)+3=2(y+1)+5a)6b)4c)3d)2Correct answer is option 'A'. Can you explain this answer?, a detailed solution for Solve: 4(y−2)+3=2(y+1)+5a)6b)4c)3d)2Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of Solve: 4(y−2)+3=2(y+1)+5a)6b)4c)3d)2Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Solve: 4(y−2)+3=2(y+1)+5a)6b)4c)3d)2Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice Class 8 tests.
|
|
Explore Courses for Class 8 exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup on EduRev and stay on top of your study goals
10M+ students crushing their study goals daily