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.