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

SOLVE 4−4x=9−12r

April 22, 2026Mathematics

ScanSolve AI Answer

Answer

x = 3r - \frac{5}{4}

r = \frac{x}{3} + \frac{5}{12}

Step-by-step solution

2 steps

To solve the equation $4 - 4x = 9 - 12r$ , we can express one variable in terms of the other.

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:
$x = \frac{5 - 12r}{-4}$ $x = -\frac{5}{4} + \frac{12r}{4}$ $x = -\frac{5}{4} + 3r$
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:
$\frac{-5 - 4x}{-12} = r$ $r = \frac{-5}{-12} + \frac{-4x}{-12}$ $r = \frac{5}{12} + \frac{4x}{12}$ $r = \frac{5}{12} + \frac{x}{3}$
The solutions are:
$\boxed{x = 3r - \frac{5}{4}} \quad \text{or} \quad \boxed{r = \frac{x}{3} + \frac{5}{12}}$

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SOLVE 4−4x=9−12r

Answer

Step-by-step solution

Solve for xxx in terms of rrr.

Solve for rrr in terms of xxx.

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