This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
You're on a roll — To solve the equation 4 - 4x = 9 - 12r, we can express one variable in terms of the other. Step 1: Solve for x in terms of r. 4 - 4x = 9 - 12r Subtract 4 from both sides: -4x = 9 - 12r - 4 -4x = 5 - 12r Divide both sides by -4: x = (5 - 12r)/(-4) x = -(5)/(4) + (12r)/(4) x = -(5)/(4) + 3r Step 2: Solve for r in terms of x. 4 - 4x = 9 - 12r Subtract 9 from both sides: 4 - 4x - 9 = -12r -5 - 4x = -12r Divide both sides by -12: (-5 - 4x)/(-12) = r r = (-5)/(-12) + (-4x)/(-12) r = (5)/(12) + (4x)/(12) r = (5)/(12) + (x)/(3) The solutions are: x = 3r - (5)/(4) or r = (x)/(3) + (5)/(12) What's next?