Mathematics : Linear Equations in Two Variables

Solve 5x – 2 = 3x – 8 and represent the solution.

(i) on a number line
(ii) in the Cartesian plane.

Solve the equation 3x + 4 = 7 + 2x for x and represent the solution

(i) On a number line
(ii) In the Cartesian plane

• ax + by + c = 0
• ax = c

• by = c

• by = c

•  –1, 2, –7
• 1,2,7
• –1, –2, –7
• –1, –2, –7

• 2,0, –5
• 0, 2, –5
• 0,0, –5
• 0,0, –5

• 0, 3,4
• 3, 0,4
• 4,0,3
• 4,0,3

• 1,1.0
• 1, –1,0
• –1,1,0
• –1,1,0

• a unique solution
• no solution
• two solutions
• two solutions

• a unique solution
• no solution
• two solutions
• two solutions

•  x = 0
• y = 0
• x = 1
• x = 1