Class 10 Exam > Class 10 Questions > 2(ax-by)+(a+4b)=0 2(bx+ay)+(b-4a)=0 solve for...
Start Learning for Free
2(ax-by)+(a+4b)=0 2(bx+ay)+(b-4a)=0 solve for x n y?
Most Upvoted Answer
2(ax-by)+(a+4b)=0 2(bx+ay)+(b-4a)=0 solve for x n y?
Solving the Equations for x and y:
- Step 1: Simplify the Equations
Given equations are:
1. 2(ax - by) + (a + 4b) = 0
2. 2(bx + ay) + (b - 4a) = 0
Let's simplify these equations:
1. 2ax - 2by + a + 4b = 0
2. 2bx + 2ay + b - 4a = 0
- Step 2: Rearrange the Equations
Rearranging the equations in terms of x and y:
1. 2ax + a = 2by - 4b
2. 2ay - 4a = -2bx - b
- Step 3: Solve for x and y
From equation 1:
x = (2by - 4b - a) / 2a
x = (b(2y - 4) - a) / 2a
x = (b(2y - 4) - a) / 2a
Substituting x into equation 2:
2ay - 4a = -2b((b(2y - 4) - a) / 2a) - b
2ay - 4a = -b(2y - 4) + a
2ay - 4a = -2by + 4b + a
2ay + 2by = 4a + 4b
y(2a + 2b) = 4(a + b)
y = 4(a + b) / 2(a + b)
y = 2
Therefore, the solutions for x and y are:
x = (b(2y - 4) - a) / 2a
y = 2
- Step 1: Simplify the Equations
Given equations are:
1. 2(ax - by) + (a + 4b) = 0
2. 2(bx + ay) + (b - 4a) = 0
Let's simplify these equations:
1. 2ax - 2by + a + 4b = 0
2. 2bx + 2ay + b - 4a = 0
- Step 2: Rearrange the Equations
Rearranging the equations in terms of x and y:
1. 2ax + a = 2by - 4b
2. 2ay - 4a = -2bx - b
- Step 3: Solve for x and y
From equation 1:
x = (2by - 4b - a) / 2a
x = (b(2y - 4) - a) / 2a
x = (b(2y - 4) - a) / 2a
Substituting x into equation 2:
2ay - 4a = -2b((b(2y - 4) - a) / 2a) - b
2ay - 4a = -b(2y - 4) + a
2ay - 4a = -2by + 4b + a
2ay + 2by = 4a + 4b
y(2a + 2b) = 4(a + b)
y = 4(a + b) / 2(a + b)
y = 2
Therefore, the solutions for x and y are:
x = (b(2y - 4) - a) / 2a
y = 2
Attention Class 10 Students!
To make sure you are not studying endlessly, EduRev has designed Class 10 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 10.
|
Explore Courses for Class 10 exam
|
|
Similar Class 10 Doubts
Top Courses for Class 10View all
2(ax-by)+(a+4b)=0 2(bx+ay)+(b-4a)=0 solve for x n y?
Question Description
2(ax-by)+(a+4b)=0 2(bx+ay)+(b-4a)=0 solve for x n y? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about 2(ax-by)+(a+4b)=0 2(bx+ay)+(b-4a)=0 solve for x n y? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 2(ax-by)+(a+4b)=0 2(bx+ay)+(b-4a)=0 solve for x n y?.
2(ax-by)+(a+4b)=0 2(bx+ay)+(b-4a)=0 solve for x n y? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about 2(ax-by)+(a+4b)=0 2(bx+ay)+(b-4a)=0 solve for x n y? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 2(ax-by)+(a+4b)=0 2(bx+ay)+(b-4a)=0 solve for x n y?.
Solutions for 2(ax-by)+(a+4b)=0 2(bx+ay)+(b-4a)=0 solve for x n y? in English & in Hindi are available as part of our courses for Class 10.
Download more important topics, notes, lectures and mock test series for Class 10 Exam by signing up for free.
Here you can find the meaning of 2(ax-by)+(a+4b)=0 2(bx+ay)+(b-4a)=0 solve for x n y? defined & explained in the simplest way possible. Besides giving the explanation of
2(ax-by)+(a+4b)=0 2(bx+ay)+(b-4a)=0 solve for x n y?, a detailed solution for 2(ax-by)+(a+4b)=0 2(bx+ay)+(b-4a)=0 solve for x n y? has been provided alongside types of 2(ax-by)+(a+4b)=0 2(bx+ay)+(b-4a)=0 solve for x n y? theory, EduRev gives you an
ample number of questions to practice 2(ax-by)+(a+4b)=0 2(bx+ay)+(b-4a)=0 solve for x n y? tests, examples and also practice Class 10 tests.
|
|
Explore Courses for Class 10 exam
|
|
Suggested Free Tests
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 to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup