My instructions are to solve the problem by showing the steps and identify as a conditional equation, an inconsistent equation or an identity.
0.06q + 14 = 0.3q - 5.2
You can convert that to
0.24 x = 19.2
and solve it for x.
The original equation is neither inconsistent (an equation with no solutiuon) nor an identity (which is true regardless of x). I have never heard of the phrase "conditional equation" before, but that must be the answer they are expecting.
To solve the equation 0.06q + 14 = 0.3q - 5.2, we want to isolate the variable q on one side of the equation. Here are the steps:
Step 1: Start by simplifying both sides of the equation.
0.06q + 14 = 0.3q - 5.2
Step 2: Combine like terms on each side.
0.06q - 0.3q = -5.2 - 14
-0.24q = -19.2
Step 3: Divide both sides of the equation by the coefficient of q, which is -0.24.
(-0.24q) / -0.24 = -19.2 / -0.24
q = 80
So, the solution to the equation is q = 80.
Regarding the classification of the equation, it is neither an inconsistent equation nor an identity.
An "inconsistent equation" refers to an equation that has no solution. This occurs when the constants on both sides of the equation are different, leading to a contradiction. In this case, the equation is consistent and has a solution.
An "identity" refers to an equation that is always true, regardless of the value of the variable. This is typically seen when both sides of the equation are equal. In this case, the equation is not an identity as the two sides are not equal to each other.
The term "conditional equation" seems to be an unfamiliar term in mathematics. It is possible the instruction is referring to a different concept or term, but based on the given information, it appears that the equation is simply consistent and has a solution.