Answer :
Sure! Let's solve the equation step-by-step:
We are given the equation:
[tex]\[ 9 - \frac{3}{4}x = 6 \][/tex]
1. Subtract 9 from both sides of the equation to isolate the term with [tex]\( x \)[/tex]:
[tex]\[ -\frac{3}{4}x = 6 - 9 \][/tex]
[tex]\[ -\frac{3}{4}x = -3 \][/tex]
2. Solve for [tex]\( x \)[/tex] by getting rid of the coefficient [tex]\(-\frac{3}{4}\)[/tex]. You can do this by multiplying both sides of the equation by the reciprocal of [tex]\(-\frac{3}{4}\)[/tex], which is [tex]\(-\frac{4}{3}\)[/tex]:
[tex]\[ x = (-3) \times \left(-\frac{4}{3}\right) \][/tex]
3. Calculate the value of [tex]\( x \)[/tex]:
[tex]\[ x = 4 \][/tex]
So, the solution to the equation is [tex]\( x = 4 \)[/tex].
We are given the equation:
[tex]\[ 9 - \frac{3}{4}x = 6 \][/tex]
1. Subtract 9 from both sides of the equation to isolate the term with [tex]\( x \)[/tex]:
[tex]\[ -\frac{3}{4}x = 6 - 9 \][/tex]
[tex]\[ -\frac{3}{4}x = -3 \][/tex]
2. Solve for [tex]\( x \)[/tex] by getting rid of the coefficient [tex]\(-\frac{3}{4}\)[/tex]. You can do this by multiplying both sides of the equation by the reciprocal of [tex]\(-\frac{3}{4}\)[/tex], which is [tex]\(-\frac{4}{3}\)[/tex]:
[tex]\[ x = (-3) \times \left(-\frac{4}{3}\right) \][/tex]
3. Calculate the value of [tex]\( x \)[/tex]:
[tex]\[ x = 4 \][/tex]
So, the solution to the equation is [tex]\( x = 4 \)[/tex].
