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3 years ago

What is 3/x+6=x/9 ? add

Mathematics

1 answer:

Mkey [24]3 years ago

4 0

Let's solve your equation step-by-step.

3x+6=x9

Step 1: Cross-multiply.

3x+6=x9

(3)*(9)=x*(x+6)

27=x2+6x

Step 2: Subtract x^2+6x from both sides.

27−(x2+6x)=x2+6x−(x2+6x)

−x2−6x+27=0

Step 3: Factor left side of equation.

(−x+3)(x+9)=0

Step 4: Set factors equal to 0.

−x+3=0 or x+9=0

x=3 or x=−9

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Four times a number was 22 greater than twice the same number. What was the number?

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Answer: 11

Step-by-step explanation:

Set up an equation

Based on the question, we can determine that 4x = 22 + 2x where x in is the number

"Four times a number" -> 4x

"was" -> =

"22 greater than" -> 22 +

"twice the same number" -> 2x

Put the underlined parts together to get 4x = 22 + 2x

Solve equation

Rearrange/collect like terms to solve for x by subtracting 2x from both sides

4x = 22 + 2x

2x = 22

Solve for x by dividing each side by 2

2x = 22

x = 11

Final Answer

x = 11

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