Question

Solve the equation. Check your solution.
5+9q=8+8g
q=

Answer 1

To solve the equation 5 + 9q = 8 + 8gq, we can isolate the terms with q on one side of the equation and solve for q. Checking the solution involves substituting the value of q back into the original equation. An example calculation is provided to illustrate the process.

Step-by-step explanation:

Solving the Equation:

1. Start by subtracting 8 from both sides of the equation to isolate the terms with q on one side.
2. Combine like terms on each side of the equation.
3. Next, divide both sides of the equation by (9-8g) to solve for q.
4. Simplify the equation if possible.
5. The solution for q is calculated.

Checking the Solution:

To check if the solution is correct, substitute the value of q found back into the original equation. If the equation is balanced, then the solution is correct.

Example:

If g = 2, substitute g into the original equation: 5 + 9q = 8 + 8(2).

Simplify the equation: 5 + 9q = 8 + 16.

Combine like terms: 9q + 5 = 24.

Subtract 5 from both sides: 9q = 19.

Divide both sides by (9-8g): q = 19/(9-8(2)).

Calculate the solution: q = 19/(-7) = -2.71.

Substituting q = -2.71 back into the original equation: 5 + 9(-2.71) = 8 + 8(2).

Simplify the equation: 5 - 24.39 = 8 + 16.

Combine like terms: -19.39 = 24.

The equation is not balanced, so the solution is incorrect.