Class 10 Exam > Class 10 Questions > x=3y-19,y=3x-23 solve by substitution method ...
Start Learning for Free
x=3y-19,y=3x-23 solve by substitution method
?
Most Upvoted Answer
x=3y-19,y=3x-23 solve by substitution method Related: Assignment - Li...
**Solution:**
To solve the given system of equations by the substitution method, we will substitute the value of one variable in terms of the other variable into the other equation. Let's solve the given system of equations step by step.
Given equations:
x = 3y - 19 ...(1)
y = 3x - 23 ...(2)
**Step 1:** Solve equation (1) for x in terms of y.
x = 3y - 19
**Step 2:** Substitute the value of x from equation (1) into equation (2).
y = 3x - 23
y = 3(3y - 19) - 23
y = 9y - 57 - 23
y - 9y = -80
-8y = -80
**Step 3:** Solve for y.
-8y = -80
Divide both sides by -8:
y = -80/-8
y = 10
**Step 4:** Substitute the value of y back into equation (1) to find x.
x = 3y - 19
x = 3(10) - 19
x = 30 - 19
x = 11
Therefore, the solution to the given system of equations is x = 11 and y = 10.
To solve the given system of equations by the substitution method, we will substitute the value of one variable in terms of the other variable into the other equation. Let's solve the given system of equations step by step.
Given equations:
x = 3y - 19 ...(1)
y = 3x - 23 ...(2)
**Step 1:** Solve equation (1) for x in terms of y.
x = 3y - 19
**Step 2:** Substitute the value of x from equation (1) into equation (2).
y = 3x - 23
y = 3(3y - 19) - 23
y = 9y - 57 - 23
y - 9y = -80
-8y = -80
**Step 3:** Solve for y.
-8y = -80
Divide both sides by -8:
y = -80/-8
y = 10
**Step 4:** Substitute the value of y back into equation (1) to find x.
x = 3y - 19
x = 3(10) - 19
x = 30 - 19
x = 11
Therefore, the solution to the given system of equations is x = 11 and y = 10.
Community Answer
x=3y-19,y=3x-23 solve by substitution method Related: Assignment - Li...
X=11 "y=10
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
x=3y-19,y=3x-23 solve by substitution method Related: Assignment - Linear Equation in two Variables, Class 10 Mathematics?
Question Description
x=3y-19,y=3x-23 solve by substitution method Related: Assignment - Linear Equation in two Variables, Class 10 Mathematics? 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 x=3y-19,y=3x-23 solve by substitution method Related: Assignment - Linear Equation in two Variables, Class 10 Mathematics? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for x=3y-19,y=3x-23 solve by substitution method Related: Assignment - Linear Equation in two Variables, Class 10 Mathematics?.
x=3y-19,y=3x-23 solve by substitution method Related: Assignment - Linear Equation in two Variables, Class 10 Mathematics? 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 x=3y-19,y=3x-23 solve by substitution method Related: Assignment - Linear Equation in two Variables, Class 10 Mathematics? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for x=3y-19,y=3x-23 solve by substitution method Related: Assignment - Linear Equation in two Variables, Class 10 Mathematics?.
Solutions for x=3y-19,y=3x-23 solve by substitution method Related: Assignment - Linear Equation in two Variables, Class 10 Mathematics? 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 x=3y-19,y=3x-23 solve by substitution method Related: Assignment - Linear Equation in two Variables, Class 10 Mathematics? defined & explained in the simplest way possible. Besides giving the explanation of
x=3y-19,y=3x-23 solve by substitution method Related: Assignment - Linear Equation in two Variables, Class 10 Mathematics?, a detailed solution for x=3y-19,y=3x-23 solve by substitution method Related: Assignment - Linear Equation in two Variables, Class 10 Mathematics? has been provided alongside types of x=3y-19,y=3x-23 solve by substitution method Related: Assignment - Linear Equation in two Variables, Class 10 Mathematics? theory, EduRev gives you an
ample number of questions to practice x=3y-19,y=3x-23 solve by substitution method Related: Assignment - Linear Equation in two Variables, Class 10 Mathematics? 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