[size=150]Practice manipulating linear equations from one form to another, as equivalent linear equations.[br][br]Linear equations are equivalent when their solution for the unknowns are the same.[br]For example y = 2x - 1[br] 2y = 4x - 2 (multiplied both sides of the equation by 2, thus keeping it balanced equally)[br] -4x + 2y= - 2 (subtracted 4x from both sides of the equation)[br] -4x + 2y + 2 = 0 (added 2 to both sides)[br] -2x + y + 1 = 0 (divided both sides by 2)[br] y - 2x + 1 = 0 (moved term in y in front of term in x)[br][br]The equations y = 2x - 1, 2y = 4x - 2, -4x + 2y = - 2, -4x + 2y + 2 = 0, -2x + y + 1 = 0 and y - 2x + 1 = 0 are all equivalent equations.[br][br]They are written in different forms [br][br]y = 2x - 1 is in the form y = mx + c where m is the gradient and c is the y intercept[br]-4x + 2y = -2 is in the form ax + by = c where a, b and c are integers [br] -2x + y + 1 = 0 is in the form ax + by + c = 0 where a, b and c are integers.[br][br]Do the practice below to master your algebraic skills in obtaining equivalent linear equations.[/size][br]