Worksheet on Simultaneous Linear Equations

Practice each pair of the equation problems from the worksheet on simultaneous linear equations with the two variables and two linear equations. Solving simultaneous linear equations with two variables by using the method of substitution to solve each pair of the equations and also solve the equations by using the method of elimination.

1. Use the method of substitution to solve each other of the pair of simultaneous equations: 

  (a) x + y = 15                    x - y = 3

  (b) x + y = 0                      x - y = 2

  (c) 2x - y = 3                   4x + y = 3

  (d) 2x - 9y = 9               5x + 2y = 27

  (e) x + 4y = -4               3y - 5x = -1

  (f) 2x - 3y = 2                  x + 2y = 8

  (g) x + y = 7                  2x - 3y = 9

  (h) 11y + 15x = -23        7y - 2x = 20

   (i) 5x - 6y = 2                6x - 5y = 9


2. Solve each other pair of equation given below using elimination method:

  (a) x + 2y = -4                        3x - 5y = -1

  (b) 4x + 9y = 5                      -5x + 3y = 8

  (c) 9x - 6y = 12                      4x + 6y = 14

  (d) 2y - (3/x) = 12                   5y + (7/x) = 1

  (e) (3/x) + (2/y) = (9/xy)       (9/x) + (4/y) = (21/xy)

  (f) (4/y) + (3/x) = 8             (6/y) + (5/x) = 13

  (g) 5x + (4/y) = 7                    4x + (3/y) = 5

  (h) x + y = 3                         -3x + 2y = 1

  (i) -3x + 2y = 5                       4x + 5y = 2



3. Solve the following simultaneous equations:

  (a) 3a + 4b = 43                      -2a + 3b = 11

  (b) 4x - 3y = 23                      3x + 4y = 11

  (c) 5x + (4/y) = 7                    4x + (3/y) = 5

  (d) 4/(p - 3) + 6/(q - 4) = 5       5/(p - 3) - 3/(q - 4) = 1

  (e) (l/6) - (m/15) = 4               (l/3) - (m/12) = 19/4

  (f) 3x + 2y = 8                        4x + y = 9

  (g) x - y = -1                         2y + 3x = 12

  (h) (3y/2) - (5x/3) = -2           (y/3) + (x/3) = 13/6

  (i) x - y = 3                           (x/3) + (y/2) = 6

  (j) (2x/3) + (y/2) = -1             (-x/3) + y = 3

  (k) 5x + 8y = 9                       2x + 3y = 4

  (l) 3 - 2(3a - 4b) = -59            (a - 3)/4 - (b - 4)/5 = 2¹/₁₀



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


Answers:

1. (a) x = 9, y = 6

(b) x = 1, y = -1

(c) x = 1, y = -1

(d) x = 261/49, y = 9/49

(e) x = -8/23, y = -21/23

(f) x = 4, y = 2

(g) x = 6, y = 1

(h) x = -3, y = 2

(i) x = 4, y = 3



2. (a) x = -2, y = -1

(b) x = -1, y = 1

(c) x = 2, y = 1

(d) x = -1/2, y = 3

(e) x = 3, y = 1

(f) x = 1/2, y = 2

(g) x = -1, y = 1/3

(h) x = 1, y = 2

(i) x = -21/23, y = 26/23



3. (a) a = 5, b = 7

(b) x = 5, y = -1

(c) x = -1, y = 1/3

(d) p = 5, q = 6

(e) l = -2, m = -65

(f) x = 2, y = 1

(g) x = 2, y = 3

(h) x = 141/38, y = 53/19

(i) x = 9, y = 6

(j) x = -3, y = 2

(k) x = 5, y = -2

(l) a = 5, b = -4


 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 Simultaneous Linear Equations to HOME PAGE


New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.



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. Adding 5-digit Numbers with Regrouping | 5-digit Addition |Addition

    Mar 18, 24 02:31 PM

    Adding 5-digit Numbers with Regrouping
    We will learn adding 5-digit numbers with regrouping. We have learnt the addition of 4-digit numbers with regrouping and now in the same way we will do addition of 5-digit numbers with regrouping. We…

    Read More

  2. Adding 4-digit Numbers with Regrouping | 4-digit Addition |Addition

    Mar 18, 24 12:19 PM

    Adding 4-digit Numbers with Regrouping
    We will learn adding 4-digit numbers with regrouping. Addition of 4-digit numbers can be done in the same way as we do addition of smaller numbers. We first arrange the numbers one below the other in…

    Read More

  3. Worksheet on Adding 4-digit Numbers without Regrouping | Answers |Math

    Mar 16, 24 05:02 PM

    Missing Digits in Addition
    In worksheet on adding 4-digit numbers without regrouping we will solve the addition of 4-digit numbers without regrouping or without carrying, 4-digit vertical addition, arrange in columns and add an…

    Read More

  4. Adding 4-digit Numbers without Regrouping | 4-digit Addition |Addition

    Mar 15, 24 04:52 PM

    Adding 4-digit Numbers without Regrouping
    We will learn adding 4-digit numbers without regrouping. We first arrange the numbers one below the other in place value columns and then add the digits under each column as shown in the following exa…

    Read More

  5. Addition of Three 3-Digit Numbers | With and With out Regrouping |Math

    Mar 15, 24 04:33 PM

    Addition of Three 3-Digit Numbers Without Regrouping
    Without regrouping: Adding three 3-digit numbers is same as adding two 3-digit numbers.

    Read More