Question

solve the equation 6.3g + 10 = 2.3g + 26. a. find the value of g. b. explain how you can check that the value you found for g is correct. if your check does not work, does that mean that your result is incorrect? explain. a. g = 4 (simplify your answer. type an integer or a decimal.) b. choose the correct explanation below. a. substitute the value for g on one side of the equation to check the answer. if the check does not work, then the answer must be incorrect. b. substitute the value for g on one side of the equation to check the answer. if the check does not work, either the answer is incorrect or there were errors made when checking. c. substitute the value for g on both sides of the equation to check the answer. if the check does not work, either the answer is incorrect or there were errors made when checking. d. substitute the value for g on both sides of the equation to check the answer. if the check does not work, then the answer must be incorrect.

Explanation:

Step1: Isolate variable terms

Subtract $2.3g$ from both sides: $6.3g - 2.3g+10=2.3g - 2.3g + 26$, which simplifies to $4g+10 = 26$.

Step2: Isolate the variable

Subtract 10 from both sides: $4g+10 - 10=26 - 10$, getting $4g=16$.

Step3: Solve for g

Divide both sides by 4: $\frac{4g}{4}=\frac{16}{4}$, so $g = 4$.

Step4: Checking method explanation

To check the solution of an equation, substitute the value of the variable into both sides of the equation. If the two - sides are not equal, either the solution is wrong or there were calculation errors during the checking process.

Answer:

a. $4$
b. C. Substitute the value for g on both sides of the equation to check the answer. If the check does not work, either the answer is incorrect or there were errors made when checking.