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QUESTION IMAGE

d. $\frac{3x - 10}{x - 3}=2^{2}$

Question

d. $\frac{3x - 10}{x - 3}=2^{2}$

Explanation:

Step1: Simplify the right - hand side

Since $2^2 = 4$, the equation becomes $\frac{3x - 10}{x - 3}=4$.

Step2: Cross - multiply

$3x-10 = 4(x - 3)$.

Step3: Expand the right - hand side

$3x-10=4x-12$.

Step4: Isolate the variable terms

Subtract $3x$ from both sides: $-10=x - 12$.

Step5: Solve for $x$

Add 12 to both sides: $x = 2$.

Answer:

$x = 2$