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2 years ago

3 (x+2)= 6 (x-1) +3

Mathematics

1 answer:

zzz [600]2 years ago

3 0

Answer:

x = 3

Step-by-step explanation:

3(x + 2) = 6(x - 1) + 3

Divide both sides by 3.

x + 2 = 2(x - 1) + 1

Distribute the 2 on the right side.

x + 2 = 2x - 2 + 1

Combine like terms on the right side.

x + 2 = 2x - 1

Add 1 to both sides. Subtract x from both sides.

3 = x

x = 3

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shepuryov [24]

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Step-by-step explanation:

Given

Pump A and B can fill tank in $\frac{6}{5} hr$

Pump A and C can fill tank in $\frac{3}{2} hr$

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Let A be the total hr taken A therefore rate of $A=\frac{1}{A} /hr$

Let B be the total hr taken B therefore rate of $B=\frac{1}{B} /hr$

Let C be the total hr taken C therefore rate of $C=\frac{1}{C} /hr$

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Adding 1,2 & 3

$2(\frac{1}{A}+\frac{1}{B}+\frac{1}{C})=\frac{5}{6}+\frac{1}{2}+\frac{2}{3}$

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