Solve the following linear equations for the unknown variable and veri

1.	Solve the following linear equations for the unknown variable and verify the solutions22x = 30 - 4x0.25 (4x – 5) = 0.75x +8
Answer» (1) 6x = 30 - 4x 6x + 4x = 30 10x = 30 x = 30/10 = 3 (2) 0.25(4x - 5) = 0.75x + 8 1/4(4x - 5) = 3/4 x + 8 x - 5/4 = 3x/4 + 8 x - 3x/4 = 8 + 5/4 (4x - 3x)/4 = (32 + 5)/4 x/4 = 37/4 x = 37

Solve the following linear equations for the unknown variable and verify the solutions22x = 30 - 4x0.25 (4x – 5) = 0.75x +8

Answer»

(1) 6x = 30 - 4x 6x + 4x = 30 10x = 30 x = 30/10 = 3

(2) 0.25(4x - 5) = 0.75x + 8 1/4(4x - 5) = 3/4 x + 8 x - 5/4 = 3x/4 + 8 x - 3x/4 = 8 + 5/4 (4x - 3x)/4 = (32 + 5)/4 x/4 = 37/4 x = 37