4 years ago

If x = 3y^4 and y = s/ 2x^3, show that s = 54y^13.

Mathematics

1 answer:

Solnce55 [7]4 years ago

3 0

Answer:

see explanation

Step-by-step explanation:

Given

y = $\frac{s}{2x^3}$ ← multiply both sides by 2x³

2x³y = s ← substitute x = 3 $y^{4}$ into left side, then

2 $(3y^4)^{3}$ y = s, thus

s = 2 × 3³ × $y^{12}$ y

= 2 × 27 × $y^{(12+1)}$

= 54 $y^{13}$

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