Answer:
D
Step-by-step explanation:
Given
11x = 11 - 55xz²
Collect the terms in x together by adding 55xz² to both sides
11x + 55xz² = 11 ← factor out x on the left side
x(11 + 55z²) == 11 ← divide both sides by 11 + 55z²
x = [tex]\frac{11}{11+55z^2}[/tex] ← factor out 11 on the denominator
x = [tex]\frac{11}{11(1+5z^2)}[/tex] ← cancel 11 on numerator/denominator
x = [tex]\frac{1}{1+5z^2}[/tex] → D
