Question

solve the given equation: \\(\frac{x}{-3} + 11 = 8\\)
options:
\\(x = 9\\)
\\(x = 1\\)
\\(x = -1\\)
\\(x = -9\\)

Explanation:

Step1: Isolate the fraction term

Subtract 11 from both sides of the equation $\frac{x}{-3}+11 = 8$.
We get $\frac{x}{-3}=8 - 11$.
Calculating the right - hand side: $8-11=-3$, so $\frac{x}{-3}=-3$.

Step2: Solve for x

Multiply both sides of the equation $\frac{x}{-3}=-3$ by - 3 to isolate x.
Using the property of equality, if $\frac{x}{a}=b$, then $x = a\times b$. Here $a=-3$ and $b = - 3$, so $x=(-3)\times(-3)$.
Calculating $(-3)\times(-3)=9$, so $x = 9$.

Answer:

x = 9 (corresponding to the option with "x = 9")