Which method of solving for the variable could be used instead of cross multiplication? distributing x 3 and then 3x 5 to both sides of the equation distributing x â€"" 3 and then 3x â€"" 5 to both sides of the equation using the multiplication property of equality to multiply both sides of the equation by 10 using the multiplication property of equality to multiply both sides of the equation by one-tenth

Respuesta :

The third option is correct. Using the multiplication property of equality to multiply both sides of the equation by 10.

What is cross-multiplication?

Cross multiplication can solve an equation of fractions when each side has a fraction with a single denominator by multiplying each side's numerator by the other side's denominator and equating the resulting two products.

What is the multiplication property of equality?

According to the multiplication property of equality, an equation's two sides stay equal when multiplied by the same number.

The given equation is:

[tex]\frac{x+3}{2} = \frac{3x+5}{5}[/tex]

Cross multiplication would have given us

5(x+3) = 2(3x+5) ..................(Equation 1)

Now, if we use the multiplication property of equality to multiply both sides of the equation by 10, we will get:

[tex]\frac{x+3}{2} (10)= \frac{3x+5}{5}(10)[/tex]

This will become 5(x+3) = 2(3x+5), which is the same as (Equation 1) which we had got from cross multiplication.

Thus, out of the given options, the third option, "using the multiplication property of equality to multiply both sides of the equation by 10" is the correct one.

To know more about multiplication property of equality, visit: https://brainly.com/question/9070018

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