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6. Jessie thinks that the first step in solving the equation shown below is to use the addition
property of equality. His friend Robin thinks that the multiplication property of equality
could be used first. Who is correct and why?
3
5
ixto
A. Jessie is correct because can first be added to both sides of the equation.
B. Robin is correct because both sides of the equation can first be multiplied by 10
C. Both are correct because the first step can be either to add 3/2 or to multiply by 10 on
both sides of the equation.
D. Neither is correct because neither adding nor multiplying by 10 on both sides of the
equation is a valid step.

Respuesta :

The equation is missing and it is;

(2/5)x - 3/2 = (5/2)x + 6

Complete options are;

A. Jessie is correct because 3/2 can first be added to both sides of the equation.

B. Robin is correct because both sides of the equation can first be multiplied by 10

C. Both are correct because the first step can be either to add 3/2 or to multiply by 10 on both sides of the equation.

D. Neither is correct because neither adding nor multiplying by 10 on both sides of the

Answer:

option B: Robin is correct because both sides of the equation can first be multiplied by 10

Step-by-step explanation:

The given equation is;

(2/5)x - 3/2 = (5/2)x + 6

Now, looking at this, we have fraction terms. Thus, the first step will be to find a way to clear the denominators in order to make every term a whole number.

The denominators we have are: 2 and 5.

So to clear the denominator we'll multiply each term by 10 which is a product of 2 and 5.

Looking at the options, the correct answer is option B: Robin is correct because both sides of the equation can first be multiplied by 10

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