Question

Find the solution algebraically to g/6=8

Answer 1

To find the solution to the equation g/6=8 algebraically, multiply both sides by 6 to get g=48. This isolates g, providing the solution which can be checked for accuracy by plugging it back into the original equation.

Step-by-step explanation:

To solve the equation g/6=8 algebraically, we need to isolate the variable g on one side of the equation. This can be achieved by multiplying both sides of the equation by 6. Here are the steps:

1. Multiply both sides of the equation by 6 to eliminate the denominator: 6 * (g/6) = 6 * 8.
2. On the left side, the 6 in the numerator and denominator cancel each other out, leaving g on its own: g = 48.
3. Check the answer to ensure it's reasonable: Substitute g with 48 back into the original equation to see if the equation holds true: 48/6 = 8, which simplifies to 8 = 8. This confirms the solution is correct.

Thus, the solution to the equation g/6=8 is g=48.