Question

Question

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)
Responses

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

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

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

6 + 4x = 1

Answer 1

To determine which equation, when multiplied by 4, would make sense for Kelia's second step, we need to examine each equation:

1. 4 + 6x = 1

   • If we multiply both sides by 4: \(4(4 + 6x) = 4(1)\)
     • This results in: \(16 + 24x = 4\)

2. 6 + x/4 = 1

   • If we multiply both sides by 4: \(4(6 + x/4) = 4(1)\)
     • This results in: \(24 + x = 4\)

3. 4 + x/6 = 1

   • If we multiply both sides by 4: \(4(4 + x/6) = 4(1)\)
     • This results in: \(16 + \frac{4x}{6} = 4\)
     • Which simplifies to \(16 + \frac{2x}{3} = 4\) (but that does not lead to a clean multiplication scenario for x).

4. 6 + 4x = 1

   • If we multiply both sides by 4: \(4(6 + 4x) = 4(1)\)
     • This results in: \(24 + 16x = 4\)

Since we see that in the second equation, 6 + x/4 = 1, multiplying it by 4 directly influences the term with x, providing a straightforward step to isolate or further manipulate x.

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