Worksheet on Problems on Simultaneous Linear Equations

The questions in the worksheet on problems on simultaneous linear equations can be solved in the method of elimination and method of substitution can be used to find the solution of system of two variables linear equations.

1. The sum of two numbers is 50 and their difference is 22. Find the numbers. 

2. One number is three times the other number. The difference between the two numbers is 12. Find the two numbers. 

3. The sum of two numbers is 9. The difference in their squares is also 9. Find the number. 

4. The difference between the two numbers is 7. Two times the smaller number added to the larger number gives 22. Find the two numbers. 

5. 3 tables and 2 chairs cost Rs. 1900 and 2 tables and 4 chairs cost Rs. 1800. Find the cost of table and a chair. 

6. A lady has only Rs. 1 and Rs.2 coin in her purse. If in all she has 50 coins totaling Rs. 70, Find the number of coins of each type. 

7. I am three times old as my son. After five years, I will be 2 ½ times as old as my son. Find my present age and the present age of my son.

8. Ten years ago, mother was 12 times as old as her daughter and ten years, hence she will be twice as old as her daughter will be. Find the present ages.

9. In the triangle, sum of two angles is 90° which is the measure of the third angle. Also, the difference of these 2 angle is 10°, find the measure of these two unknown angles.

10. A fraction becomes 10/7 if 2 is added to both numerator and denominator. If however 3 is subtracted from both numerator and denominator, the fraction becomes 5/2. What is the fraction?

Answers for the worksheet on problems on simultaneous linear equations. are given below to check the exact answers of the above questions.

Answers

1.36, 14

2. 18, 6

3. 5, 4

4. 12, 5

5. Rs. 500, Rs. 200

6. 30, 20

7. 15 years, 45 years

8. 34 years, 12 years

9. 50°, 40°

10. 8/5


 Simultaneous Linear Equations

Simultaneous Linear Equations

Comparison Method

Elimination Method

Substitution Method

Cross-Multiplication Method

Solvability of Linear Simultaneous Equations

Pairs of Equations

Word Problems on Simultaneous Linear Equations

Word Problems on Simultaneous Linear Equations

Practice Test on Word Problems Involving Simultaneous Linear Equations


 Simultaneous Linear Equations - Worksheets

Worksheet on Simultaneous Linear Equations

Worksheet on Problems on Simultaneous Linear Equations










8th Grade Math Practice 

From Worksheet on Problems on Simultaneous Linear Equations to HOME PAGE




Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



Share this page: What’s this?

Recent Articles

  1. Perimeter of a Square | How to Find the Perimeter of Square? |Examples

    Apr 25, 24 05:34 PM

    Perimeter of a Square
    We will discuss here how to find the perimeter of a square. Perimeter of a square is the total length (distance) of the boundary of a square. We know that all the sides of a square are equal. Perimete…

    Read More

  2. Perimeter of a Triangle | Perimeter of a Triangle Formula | Examples

    Apr 25, 24 05:13 PM

    Perimeter of a Triangle
    We will discuss here how to find the perimeter of a triangle. We know perimeter of a triangle is the total length (distance) of the boundary of a triangle. Perimeter of a triangle is the sum of length…

    Read More

  3. Perimeter of a Rectangle | How to Find the Perimeter of a Rectangle?

    Apr 25, 24 03:45 PM

    Perimeter of a Rectangle
    We will discuss here how to find the perimeter of a rectangle. We know perimeter of a rectangle is the total length (distance) of the boundary of a rectangle. ABCD is a rectangle. We know that the opp…

    Read More

  4. Dividing 3-Digit by 1-Digit Number | Long Division |Worksheet Answer

    Apr 24, 24 03:46 PM

    Dividing 3-Digit by 1-Digit Number
    Dividing 3-Digit by 1-Digit Numbers are discussed here step-by-step. How to divide 3-digit numbers by single-digit numbers? Let us follow the examples to learn to divide 3-digit number by one-digit nu…

    Read More

  5. Symmetrical Shapes | One, Two, Three, Four & Many-line Symmetry

    Apr 24, 24 03:45 PM

    Symmetrical Figures
    Symmetrical shapes are discussed here in this topic. Any object or shape which can be cut in two equal halves in such a way that both the parts are exactly the same is called symmetrical. The line whi…

    Read More