Question

solve the equation 6.4g + 6 = 4.4g + 18.
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.

o a. 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.
o 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.
o c. 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.
o d. 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.

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Explanation:

Step1: Isolate the variable terms

Subtract $4.4g$ from both sides of the equation $6.4g + 6=4.4g + 18$.
$6.4g-4.4g + 6=4.4g-4.4g + 18$
$2g+6 = 18$

Step2: Isolate the variable

Subtract 6 from both sides.
$2g+6 - 6=18 - 6$
$2g=12$

Step3: Solve for g

Divide both sides by 2.
$\frac{2g}{2}=\frac{12}{2}$
$g = 6$

To check the solution:
We substitute the value of $g$ into the original equation. If the left - hand side (LHS) equals the right - hand side (RHS), the solution is correct. If they are not equal, either the solution is incorrect or there was an error in the checking process.

Answer:

a. $g = 6$
b. D. 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.