Question

A student solves the equation StartFraction x + 3 Over 2 EndFraction = StartFraction 3 x + 5 Over 5 EndFraction using the steps in the table. Original equation StartFraction x + 3 Over 2 EndFraction = StartFraction 3 x + 5 Over 5 EndFraction Cross multiplication 5 (x + 3) = 2 (3x + 5) Distributive property 5 x + 15 = 2 (3 x + 5) Subtraction property of equality 5 = x Which method of solving for the variable could be used instead of cross multiplication?

Answer 1

Answer:

using the multiplication property of equality to multiply both sides of the equation by 10

One of the alternate method can be multiplying both sides by the LCM of numerators of fractions on both sides

The alternate method of LCM produces the same answer so the correct answer is using the multiplication property of equality to multiply both sides of the equation by 10

Answer 2

The equation (x + 3)/2 = (3x + 5)/5 can be solved by first multiplying both sides of the equation by the LCM of the fractions (10)

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Given the equation:

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

Multipling both sides of the equation by the LCM of the fractions, i.e 10:

(x + 3)/2  * 10 = (3x + 5)/5   * 10

5(x + 3) = 2(3x + 5)

The equation (x + 3)/2 = (3x + 5)/5 can be solved by first multiplying both sides of the equation by the LCM of the fractions (10)

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