Question

Kelia is solving an equation for [infinity]. Her second step is to multiply both sides of the equation by 4. Which equation is she solving?

a. 4+ x/6 =1
b. 6+4x=1
c. 4+6x=1
d. 6+ x/4 =1

Answer 1

Kelia is solving equation (d) 6 + x/4 = 1 by multiplying both sides by 4 as her second step to clear the fraction and isolate the variable x. The correct answer is option d.

Step-by-step explanation:

The student is provided with algebraic steps to solve certain types of equations. When Kelia's second step in solving her equation involves multiplying both sides by 4, we are looking for an equation that would require such an operation to isolate the variable x. Multiplying by 4 is typically necessary when x is within a fraction with 4 as the denominator to clear the fraction.

The correct option, in this case, is option (d) 6+ x/4 =1, since multiplying both sides of this equation by 4 would eliminate the fraction and isolate x, which is the typical process involved in solving for x.

By doing this, the equation transforms into:

4*(6 + x/4) = 4*1

24 + x = 4

This allows us to continue the equation solving process by subsequently subtracting 24 from both sides to isolate x.