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. a. g = (simplify your answer. type an integer or a decimal.)

Explanation:

Step1: Move terms with g to one - side

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 term with g

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

Step3: Solve for g

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

Step4: Checking the solution

Substitute g = 6 into the original equation.
Left - hand side: $6.4\times6+6=38.4 + 6=44.4$
Right - hand side: $4.4\times6+18=26.4+18=44.4$
Since the left - hand side equals the right - hand side when g = 6, the solution is correct. If the check does not work, it does not necessarily mean the result is incorrect. It could be due to an error in the checking process (such as a calculation mistake while substituting and evaluating). However, if the checking is done correctly and the two sides of the original equation are not equal, then the solution for g is incorrect.

Answer:

a. $g = 6$
b. To check the value of g, substitute it into the original equation. Calculate the left - hand side and the right - hand side of the equation. If they are equal, the value of g is correct. If the check does not work, it may be due to an error in the checking process, but if the check is done correctly, then the result for g is incorrect.