Chapter 1 (Balbharati) · Class 10 Maharashtra SSC · Free Worksheet PDF

Linear Equations in Two Variables (दोन चलांतील रेषीय समीकरणे) Sums for Class 10 — Free Maharashtra SSC Worksheet PDF with Answers

Download a free printable linear equations in two variables (दोन चलांतील रेषीय समीकरणे) worksheet for Class 10 Maharashtra SSC with 30 practice questions covering linear equations in two variables (दोन चलांतील रेषीय समीकरणे) concepts, practice problems, and word problems with step-by-step solutions. Includes complete answer key. Maharashtra SSC-aligned for the 2025-26 syllabus.

Last updated: 5 May 2026

Download Full PDF Worksheet

30 questions (Easy + Medium + Hard) with answer key. Fresh set generated daily.

Download Full PDF

Sample Linear Equations in Two Variables (दोन चलांतील रेषीय समीकरणे) Sums for Class 10 — Practice Questions

Here are 8 sample linear equations in two variables (दोन चलांतील रेषीय समीकरणे) sums from this Class 10 Maharashtra SSC worksheet. Download the full PDF for all 30 questions with answers.

Q1.खालीलपैकी कोणते समीकरण दोन चलांतील रेषीय समीकरण आहे?
A.A) 3x+2y2=53x + 2y^2 = 5
B.B) 4x+3y=74x + 3y = 7
C.C) 5x+2y=10\frac{5}{x} + \frac{2}{y} = 10
D.D) xy+6=0xy + 6 = 0

Difficulty: Easy

Q2.जर (2,3)(2, 3) ही (x+y=k)(x + y = k) या समीकरणाची उकल असेल, तर kk ची किंमत काय असेल?
A.A) 1
B.B) 5
C.C) -1
D.D) 6

Difficulty: Easy

Q3.दोन रेषीय समीकरणांचा आलेख काढताना, जर रेषा एकाच बिंदूत छेदत असतील, तर त्या समीकरणांच्या संचाला किती उकली मिळतात?
A.A) एकच उकल
B.B) अमर्याद उकली
C.C) एकही उकल नाही
D.D) दोन उकली

Difficulty: Easy

Q4.जर a1x+b1y=c1a_1x + b_1y = c_1 आणि a2x+b2y=c2a_2x + b_2y = c_2 या समीकरणांमध्ये a1a2≠b1b2\frac{a_1}{a_2} \ne \frac{b_1}{b_2} असेल, तर या समीकरणांच्या संचाला काय असते?
A.A) एकच उकल
B.B) अमर्याद उकली
C.C) एकही उकल नाही
D.D) दोन उकली

Difficulty: Easy

Q5.जर a1x+b1y=c1a_1x + b_1y = c_1 आणि a2x+b2y=c2a_2x + b_2y = c_2 या समीकरणांमध्ये a1a2=b1b2≠c1c2\frac{a_1}{a_2} = \frac{b_1}{b_2} \ne \frac{c_1}{c_2} असेल, तर आलेख काढल्यावर या रेषा कशा असतील?
A.A) एकमेकांना छेदणाऱ्या
B.B) समांतर
C.C) एकरूप (एकावर एक)
D.D) लंब

Difficulty: Easy

Q6.एका फातिमा नावाच्या मुलीने 'माझ्याकडे 5 रुपयांची आणि 10 रुपयांची अशी एकूण 20 नोटा आहेत, ज्यांची एकूण किंमत 145 रुपये आहे.' असे सांगितले. जर 5 रुपयांच्या नोटांची संख्या xx आणि 10 रुपयांच्या नोटांची संख्या yy असेल, तर हे समीकरण स्वरूपात कसे लिहाल?
A.A) x+y=145x + y = 145; 5x+10y=205x + 10y = 20
B.B) x+y=20x + y = 20; 5x+10y=1455x + 10y = 145
C.C) x+y=20x + y = 20; 10x+5y=14510x + 5y = 145
D.D) x+y=145x + y = 145; x+y=20x + y = 20

Difficulty: Easy

Q7.समीकरण 2x+3y=122x + 3y = 12 साठी, जर x=0x = 0 असेल, तर yy ची किंमत काय असेल?
A.A) 2
B.B) 3
C.C) 4
D.D) 6

Difficulty: Easy

Q8.खालीलपैकी कोणते समीकरण 3x−2y=73x - 2y = 7 या समीकरणाच्या समतुल्य (equivalent) नाही?
A.A) 6x−4y=146x - 4y = 14
B.B) −3x+2y=−7-3x + 2y = -7
C.C) 9x−6y=219x - 6y = 21
D.D) 3x+2y=73x + 2y = 7

Difficulty: Easy

Answer Key — Sample Questions+
Q1:B) $4x + 3y = 7$
Q2:B) 5
Q3:A) एकच उकल
Q4:A) एकच उकल
Q5:B) समांतर
Q6:B) $x + y = 20$; $5x + 10y = 145$
Q7:C) 4
Q8:D) $3x + 2y = 7$

Download the full PDF for all 30 answers with step-by-step solutions.

About This Worksheet

TopicLinear Equations in Two Variables (दोन चलांतील रेषीय समीकरणे)
BoardMaharashtra SSC
Class10
Total Questions30 (10 Easy + 10 Medium + 10 Hard)
Answer KeyIncluded
PriceFree

Related Worksheets — Class 10 Maharashtra SSC

Quadratic Equations (वर्ग समीकरणे)

Class 10 Maharashtra SSC Worksheet

Arithmetic Progression (समांतर श्रेढी)

Class 10 Maharashtra SSC Worksheet

Financial Planning (आर्थिक नियोजन)

Class 10 Maharashtra SSC Worksheet

Probability (संभाव्यता)

Class 10 Maharashtra SSC Worksheet

Statistics (सांख्यिकी)

Class 10 Maharashtra SSC Worksheet

Similarity (समरूपता)

Class 10 Maharashtra SSC Worksheet

Frequently Asked Questions

Where can I download free linear equations in two variables (दोन चलांतील रेषीय समीकरणे) sums for Class 10?+
You can download a free Linear Equations in Two Variables (दोन चलांतील रेषीय समीकरणे) PDF worksheet for Class 10 Maharashtra SSC right here on SparkEd. The worksheet includes 30 practice questions (linear equations in two variables (दोन चलांतील रेषीय समीकरणे) concepts, practice problems, and word problems with step-by-step solutions) at easy, medium, and hard levels with a complete answer key.
How many linear equations in two variables (दोन चलांतील रेषीय समीकरणे) questions are in this Class 10 worksheet?+
This SparkEd worksheet for Linear Equations in Two Variables (दोन चलांतील रेषीय समीकरणे) Class 10 contains 30 questions — 10 easy, 10 medium, and 10 hard. The questions cover linear equations in two variables (दोन चलांतील रेषीय समीकरणे) concepts, practice problems, and word problems with step-by-step solutions. A fresh set is generated daily so students never repeat the same sheet.
Does the Linear Equations in Two Variables (दोन चलांतील रेषीय समीकरणे) worksheet for Class 10 include answers?+
Yes! Every SparkEd worksheet comes with a complete answer key. Students can self-check their work after completing the sheet. The PDF is free to download and print.
Is this linear equations in two variables (दोन चलांतील रेषीय समीकरणे) worksheet aligned to Maharashtra SSC syllabus?+
Yes. This worksheet is specifically designed for Class 10 Maharashtra SSC students and aligned to the 2025-26 Maharashtra SSC syllabus. All questions follow the Maharashtra SSC exam pattern and difficulty level.
Can I print this Linear Equations in Two Variables (दोन चलांतील रेषीय समीकरणे) worksheet?+
Absolutely! The worksheet downloads as an A4-size PDF that is ready to print. It includes the questions, space for working, and a separate answer key — perfect for classroom use or home practice.
How is this worksheet different from NCERT textbook exercises?+
SparkEd worksheets go beyond NCERT exercises by providing 30 questions at 3 progressive difficulty levels. Level 1 (Easy) builds confidence, Level 2 (Medium) tests application, and Level 3 (Hard) prepares for exams. Each worksheet includes word problems and conceptual questions, not just computation.
Does this worksheet include linear equations in two variables (दोन चलांतील रेषीय समीकरणे) word problems?+
Yes! The worksheet includes both computation-based questions and real-world word problems. Word problems are especially important for Maharashtra SSC exams, and our worksheet covers a variety of scenarios to build problem-solving skills.

Practice Linear Equations in Two Variables (दोन चलांतील रेषीय समीकरणे) Sums Online — Class 10 Maharashtra SSC

Want more than a worksheet? Solve linear equations in two variables (दोन चलांतील रेषीय समीकरणे) problems interactively with instant feedback, step-by-step solutions, and an AI maths coach. No signup required.

Start Practising Online

SparkEd Maths provides free printable maths worksheets for Class 1-10 across CBSE, ICSE, IB, Olympiad, UP Board, Maharashtra SSC, and TN Board. Every worksheet includes an answer key and is aligned to the 2025-26 syllabus.