Show your work, determine if the given value is a solution to the following equation -6b + 8 = 2; Is b = 1/2 a solution of the equation -6b + 8 = 2? Choose the correct answer. a) no b) yes
To determine if b = 1/2 is a solution to the equation -6b + 8 = 2, we substitute the value of b into the equation and simplify.
-6b + 8 = 2
-6(1/2) + 8 = 2
-3 + 8 = 2
5 = 2
Since 5 does not equal 2, the equation is not true when b = 1/2.
Therefore, the correct answer is a) no.
To determine if the given value is a solution to the equation, we substitute the value of b into the equation and see if the equation holds true.
Given equation: -6b + 8 = 2
Substituting b = 1/2 into the equation, we get:
-6(1/2) + 8 = 2
-3 + 8 = 2
5 = 2
The equation does not hold true, as 5 is not equal to 2.
Therefore, the correct answer is: a) no