How will the product change if: one factor is increased 3 times, and the other one is decreased 6 time

Algebra

The product will be reduced 2 times i.e the product will be reduced to half

Step-by-step explanation:

Let the product be and the two of its factors are a and b

So = ×

Now if the factor is increased 3 times, then the new factor will be

so

The other factor is decreased 6 times, then the new factor will be

so

So the new product =

⇒ = 3××

So  

Hence, the product will be reduced 2 times i.e the product will be reduced to half

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

4x+2=2x+12

step 1: subtract 2x from both sides.

4x+2−2x=2x+12−2x

2x+2=12

step 2: subtract 2 from both sides.

2x+2−2=12−2

2x=10

step 3: divide both sides by 2.

2x

2

=

10

2

x=5

step-by-step explanation:

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