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? (1 point)
4 + x/6 = 1
4 + 6x = 1
6 + 4x = 1
6 + x/4 = 1
The equation that Kelia is solving is:
4 + x/6 = 1
Identify the first step in solving this equation for x / - 3 = x/4 + 2 (1 point)
Multiply both sides by 2.
Add 2 to both sides.
Divide both sides by 4.
Subtract 2 from both sides.
The first step in solving this equation is to subtract 2 from both sides.
To determine the equation that Kelia is solving, we need to understand her second step, which is multiplying both sides of the equation by 4.
This means that she is multiplying every term in the equation by 4. By doing this, she is trying to eliminate the fraction or simplify the equation.
Let's analyze the options:
1. 4 + x/6 = 1: In this equation, we see a fraction of x/6. However, if Kelia multiplies both sides by 4, the result would be 4(4) + 4(x/6) = 4(1). The x term would not be isolated or simplified, so this is not the equation she is solving.
2. 4 + 6x = 1: In this equation, we have 6x without any fractions. If Kelia multiplies both sides by 4, the result would be 4(4) + 4(6x) = 4(1). This equation simplifies to 16 + 24x = 4, which is a valid step using multiplication. So, this could be the equation she is solving.
3. 6 + 4x = 1: In this equation, we have 4x without any fractions. However, if Kelia multiplies both sides by 4, the result would be 4(6) + 4(4x) = 4(1). This equation simplifies to 24 + 16x = 4, which is not the same as the original equation. Therefore, this is not the equation she is solving.
4. 6 + x/4 = 1: In this equation, we have another fraction of x/4. If Kelia multiplies both sides by 4, the result would be 4(6) + 4(x/4) = 4(1). This equation simplifies to 24 + x = 4, which is not the same as the original equation. Therefore, this is not the equation she is solving.
Based on our analysis, the equation Kelia is solving is:
2. 4 + 6x = 1