algebra-help-solving-word-problems-on-system-of-equations-by-cross-multiplication-method

# Interactive video lesson plan for: Algebra help | Solving Word Problems on system of Equations by Cross-Multiplication Method

#### Activity overview:

Algebra help | Solving Word Problems on system of Equations by Cross-Multiplication Method

Solving Word Problems on system of Linear Equations Cross-Multiplication Method

http://www.learncbse.in/ncert-class-10-math-solutions/
http://www.learncbse.in/pair-of-linear-equations-in-two-variables-cbse-extra-questions/
http://www.learncbse.in/rd-sharma-class-10-solutions-pair-of-linear-equations-in-two-variables/

Specific Objective:
Solving the pair of linear equations by cross multiplication method
Description: This task is designed to solve the pair of linear equations by cross multiplication
method.
Execution: Teacher will explain the procedure for solving pair of linear equations by cross
multiplication. Worksheets will then be distributed and students will solve the worksheets.
Teacher may conduct a class discussion for follow up.
Parameters for Assessment:
. Able to recognize the coefficients of the variables in both the equations.
. Able to apply the formula correctly depending upon the equations being ax+ by+ c=O or ax+ by=c.
. Able to do the cross multiplication correctly.
. Able to get the required solution.

00:02 Solving equations by cross-multiplication
02:15 Q4. Form the pair of linear equations in the following problems and find their solutions (if they exist) by any algebraic method :
03:10 (i) A part of monthly hostel charges is fixed and the remaining depends on the number of days one has taken food in the mess. When a student A takes food for 20 days she has to pay Rs 1000 as hostel charges whereas a student B, who takes food for 26 days, pays Rs 1180 as hostel charges. Find the fixed charges and the cost of food per day.

08:13 Algebraic Methods of Solving a Pair of Linear Equations : cross-multiplication
(ii) A fraction becomes 1/3 when 1 is subtracted from the numerator and it becomes 1/4 when 8 is added to its denominator. Find the fraction.

12:23 Solving the pair of linear equations by cross-multiplication method
(iii) Y ash scored 40 marks in a test, getting 3 marks for each right answer and losing 1 mark for each wrong answer. Had 4 marks been awarded for each correct answer and 2 marks been deducted for each incorrect answer, then Yash would have scored 50 marks. How many questions were there in the test?

17:02 Solve system of linear equations by cross-multiplication method
(iv) Places A and B are 100 km apart on a highway. One car starts from A and another from B at the same time. If the cars travel in the same direction at different speeds, they meet in 5 hours. If they travel towards each other, they meet in 1 hour. What are the speeds of the two cars?

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learncbse.in
CBSE solutions for class 10 maths Chapter 3 Pair of linear equations Exercise 3.4
CBSE class 10 maths NCERT Solutions Chapter 3 Pair of linear equations Ex 3.2
CBSE class 10 maths NCERT Solutions Chapter 3 Pair of linear equations
Solutions for CBSE class 10 Maths Pair of linear equations
NCERT solutions for class 10 maths Pair of linear equations
NCERT solutions for CBSE class 10 maths Pair of linear equations
graphical representation Graphical Method algebraical Method parallel coincident consistent, or inconsistent Algebraic Methods of Solving a Pair of Linear Equations Substitution Method
Elimination Method Cross - Multiplication Method
CBSE class 10 maths Solutions Pair of linear equations Exercise 3.5
Common core Math Pair of linear equations
ICSE Class 10 Pair of linear equations

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