Simultaneous Linear Equations

Solve simultaneous linear equations with our practice worksheet!

Write your name, students number and class below. 1) Solve the following simultaneous equations by equating expressions method: y = x + 1 y = 2x - 1 . x = -2 , y = -3 x = 2, y =3 x = -2 , y = 3 x = -1 , y = -2 2) Solve the following simultaneous equations by equating expressions method: 3x = 4y + 2 3x = 7y - 1 . x = -1 , y = -3 x = 1 , y = -3 x = -1, y = 3 x = 2 , y = 1 3) Solve the following simultaneous equations by equating expressions method: 2x - 3y = 4 2x - 5y = 8 . x = -1 , y = -2 x = 1 , y = 2 x = -1 , y = 2 x = 2 , y = 3 4) Solve the following simultaneous equations by substitution method: 3x = 7 + y 5x = 9y + 41 . x = -1 , y = -4 x = 1 , y = 4 x = 1 , y = -4 x = 6 , y = 2 5) Solve the following simultaneous equations by substitution method: 5x + 2y = -1 x = 3y - 7 . x = 1 , y = 2 x = -1 , y = 2 x = -1 , y = -2 x = 4 , y = 3 6) Solve the following simultaneous equations by elimination method: 3x + 2y = 13 3x - 2y = 5 . x = -3 , y = -2 x = -2 , y = 3 x = 2 , y = -3 x = 3 , y = 2 7) Find the value of y in y = 5x, when x = -5. -25 25 20 50 8) What is y in y = -5x when x = 1 ? 2.5 3.5 -2.5 7 9) If the points (-1, a) , (b, 15) and (c, -20) lie on the straight line y = 5x, find the value of a, b and c. a = 5 , b = 3 , c = 4 a = -5 , b = 3 , c =-4 a = -5 , b = -3 , c = -4 a = 5 , b = -3 , c = 4 10) If the points (3, p) , (-12, q) and (r, -5) lie on the straight line y = -1 x, find the value of a, b and c. p = 1.5 , q = -6 , r = -10 p = -1.5 , q = -6 , r = -10 p = -1.5 , q = 6 , r = 10 p = 3 , q = 6 , r = 10