Kelia is solving an equation for x . Her second step is to multiply both sides of the equation by 4. Which equation is she solving?
A.6 + x/4 = 1
B.4 + x/6 = 1
C.4 + 6x = 1
D.6 + 4x = 1
Kelia is solving the equation 6 + x/4 = 1 by multiplying both sides by 4. Therefore, the correct answer is option A.
To find out which equation Kelia is solving, we need to understand how multiplying both sides of an equation by 4 affects the equation. When we multiply both sides of an equation by a number, the equation remains true, but the coefficients or constants in the equation change.
In this case, Kelia is multiplying both sides of the equation by 4. This means that the coefficient of x on one side of the equation will be multiplied by 4, and the constant on the other side will also be multiplied by 4.
Let's use this information to analyze each option:
A. 6 + x/4 = 1
If we multiply both sides of this equation by 4, we get:
4 * (6) + 4 * (x/4) = 4 * (1)
24 + x = 4
B. 4 + x/6 = 1
If we multiply both sides of this equation by 4, we get:
4 * (4) + 4 * (x/6) = 4 * (1)
16 + 4/6 * x = 4
C. 4 + 6x = 1
If we multiply both sides of this equation by 4, we get:
4 * (4) + 4 * (6x) = 4 * (1)
16 + 24x = 4
D. 6 + 4x = 1
If we multiply both sides of this equation by 4, we get:
4 * (6) + 4 * (4x) = 4 * (1)
24 + 16x = 4
Analyzing these equations, we can see that option D, 6 + 4x = 1, matches the equation that Kelia is solving.