Question

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question
determine if the following equation is an identity equation, a conditional equation, or an inconsistent equati
$-10 + 4x - 5x = -7 - 2 + 8x$
select the correct answer below:
○ identity equation
○ conditional equation
○ inconsistent equation

Explanation:

Step1: Simplify both sides

Left side: $-10 + 4x - 5x=-10 - x$
Right side: $-7 - 2 + 8x=-9 + 8x$

Step2: Solve for x

Set the simplified sides equal: $-10 - x=-9 + 8x$
Add $x$ to both sides: $-10=-9 + 9x$
Add 9 to both sides: $-1 = 9x$
Divide by 9: $x=-\frac{1}{9}$

Since the equation is true only for $x = -\frac{1}{9}$ (not all real numbers, and not no solution), it's a conditional equation.

Answer:

Conditional equation