Solve the equation identify as an identity, an inconsistent equation or a conditional.
My equation is
1-3/2x+7/4
I know the answer is Conditional {-2}, but I cannot figure out how to get it or even where to start.
To solve the equation 1 - 3/2x + 7/4, we will aim to isolate the variable x on one side of the equation. Let's begin by combining the terms involving x.
1 - (3/2)x + 7/4 = 0
To simplify the equation, let's first find a common denominator for the fractions involved. The common denominator for 2 and 4 is 4. So, we can rewrite the equation as:
4/4 - (3/2)x + 7/4 = 0
Now, combine the terms with the same denominator:
(4 - 6x + 7)/4 = 0
Next, multiply both sides of the equation by 4 to eliminate the denominator:
4(4 - 6x + 7)/4 = 0 * 4
Simplifying the left side:
4 - 6x + 7 = 0
Combine like terms:
11 - 6x = 0
Now, let's isolate the variable term:
-6x = -11
To solve for x, divide both sides of the equation by -6:
x = -11 / -6
Simplifying further:
x = 11/6
Since x = 11/6 is not equal to -2, the answer is not conditional {-2}. By solving the equation, we found x = 11/6. Therefore, the answer to your equation is not conditional {-2}. It is just an equation with a solution of x = 11/6.