Kelia is solving an equation for x

Question

. Her second step is to multiply both sides of the equation by 4. Which equation is she solving?(1 point)
Responses

4 + 6x = 1
4 plus 6 x equals 1

4 + x6 = 1
4 plus Start Fraction x over 6 End Fraction equals 1

6 + x4 = 1
6 plus Start Fraction x over 4 End Fraction equals 1

6 + 4x = 1
6 plus 4 x equals 1

Answer 1

To determine which equation Kelia is solving, we need to know how multiplying both sides by 4 would affect the equation.

Let's analyze each option:

1. 4 + 6x = 1

   • If we multiply both sides by 4, we get:
   • \(4(4 + 6x) = 4(1)\)
   • Simplifying that would give \(16 + 24x = 4\).

2. 4 + x/6 = 1

   • Multiplying both sides by 4:
   • \(4(4 + x/6) = 4(1)\)
   • Which simplifies to \(16 + \frac{4x}{6} = 4 \) or \(16 + \frac{2x}{3} = 4\).

3. 6 + x/4 = 1

   • Multiplying both sides by 4:
   • \(4(6 + x/4) = 4(1)\)
   • This becomes \(24 + x = 4\).

4. 6 + 4x = 1

   • Multiplying both sides by 4:
   • \(4(6 + 4x) = 4(1)\)
   • Simplifies to \(24 + 16x = 4\).

Among these, the equation that would realistically make sense to multiply both sides by 4 is the third one: 6 + x/4 = 1 since it involves a fraction where multiplying by 4 makes it straightforward to eliminate the fraction and solve for x.

Therefore, the equation Kelia is solving is 6 + x/4 = 1.