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
(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
(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 ● 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 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. |