Class 10 Exam > Class 10 Questions > solve x and y x÷6+y÷4=1 and 3x÷4- x-y÷2=7÷4...
Start Learning for Free
solve x and y x÷6+y÷4=1 and 3x÷4- x-y÷2=7÷4
?
Most Upvoted Answer
solve x and y x÷6+y÷4=1 and 3x÷4- x-y÷2=7÷4 Related: Substitution M...
Community Answer
solve x and y x÷6+y÷4=1 and 3x÷4- x-y÷2=7÷4 Related: Substitution M...
Substitution Method - Pair of Linear Equations in Two Variables
Step 1: Simplify the given equations to their standard form.
x/6 + y/4 = 1 (Equation 1)
3x/4 - x - y/2 = 7/4 (Equation 2)
Multiplying both sides of Equation 1 by 12, we get:
2x + 3y = 24 (Equation 3)
Multiplying both sides of Equation 2 by 4, we get:
3x - 4x - 2y = 7 (Equation 4)
Simplifying Equation 4, we get:
-x - 2y = 7 (Equation 5)
Step 2: Solve for one variable in terms of the other in one of the equations.
From Equation 5, we get:
x = -7 - 2y (Equation 6)
Step 3: Substitute the expression for the variable found in step 2 into the other equation.
Substituting Equation 6 into Equation 3, we get:
2(-7 - 2y) + 3y = 24
Simplifying the equation, we get:
-14 - 4y + 3y = 24
Simplifying further, we get:
-y = 38
Therefore, y = -38.
Step 4: Substitute the value found in step 3 into one of the equations to find the other variable.
Substituting y = -38 into Equation 6, we get:
x = -7 - 2(-38)
Simplifying the equation, we get:
x = 69
Therefore, x = 69 and y = -38 are the solutions to the given pair of linear equations.
Step 1: Simplify the given equations to their standard form.
x/6 + y/4 = 1 (Equation 1)
3x/4 - x - y/2 = 7/4 (Equation 2)
Multiplying both sides of Equation 1 by 12, we get:
2x + 3y = 24 (Equation 3)
Multiplying both sides of Equation 2 by 4, we get:
3x - 4x - 2y = 7 (Equation 4)
Simplifying Equation 4, we get:
-x - 2y = 7 (Equation 5)
Step 2: Solve for one variable in terms of the other in one of the equations.
From Equation 5, we get:
x = -7 - 2y (Equation 6)
Step 3: Substitute the expression for the variable found in step 2 into the other equation.
Substituting Equation 6 into Equation 3, we get:
2(-7 - 2y) + 3y = 24
Simplifying the equation, we get:
-14 - 4y + 3y = 24
Simplifying further, we get:
-y = 38
Therefore, y = -38.
Step 4: Substitute the value found in step 3 into one of the equations to find the other variable.
Substituting y = -38 into Equation 6, we get:
x = -7 - 2(-38)
Simplifying the equation, we get:
x = 69
Therefore, x = 69 and y = -38 are the solutions to the given pair of linear equations.
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
|
|
Top Courses for Class 10View all
solve x and y x÷6+y÷4=1 and 3x÷4- x-y÷2=7÷4 Related: Substitution Method - Pair of Linear Equations in Two Variables?
Question Description
solve x and y x÷6+y÷4=1 and 3x÷4- x-y÷2=7÷4 Related: Substitution Method - Pair of Linear Equations in Two Variables? 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 solve x and y x÷6+y÷4=1 and 3x÷4- x-y÷2=7÷4 Related: Substitution Method - Pair of Linear Equations in Two Variables? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for solve x and y x÷6+y÷4=1 and 3x÷4- x-y÷2=7÷4 Related: Substitution Method - Pair of Linear Equations in Two Variables?.
solve x and y x÷6+y÷4=1 and 3x÷4- x-y÷2=7÷4 Related: Substitution Method - Pair of Linear Equations in Two Variables? 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 solve x and y x÷6+y÷4=1 and 3x÷4- x-y÷2=7÷4 Related: Substitution Method - Pair of Linear Equations in Two Variables? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for solve x and y x÷6+y÷4=1 and 3x÷4- x-y÷2=7÷4 Related: Substitution Method - Pair of Linear Equations in Two Variables?.
Solutions for solve x and y x÷6+y÷4=1 and 3x÷4- x-y÷2=7÷4 Related: Substitution Method - Pair of Linear Equations in Two Variables? 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 solve x and y x÷6+y÷4=1 and 3x÷4- x-y÷2=7÷4 Related: Substitution Method - Pair of Linear Equations in Two Variables? defined & explained in the simplest way possible. Besides giving the explanation of
solve x and y x÷6+y÷4=1 and 3x÷4- x-y÷2=7÷4 Related: Substitution Method - Pair of Linear Equations in Two Variables?, a detailed solution for solve x and y x÷6+y÷4=1 and 3x÷4- x-y÷2=7÷4 Related: Substitution Method - Pair of Linear Equations in Two Variables? has been provided alongside types of solve x and y x÷6+y÷4=1 and 3x÷4- x-y÷2=7÷4 Related: Substitution Method - Pair of Linear Equations in Two Variables? theory, EduRev gives you an
ample number of questions to practice solve x and y x÷6+y÷4=1 and 3x÷4- x-y÷2=7÷4 Related: Substitution Method - Pair of Linear Equations in Two Variables? 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
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup