Question

Classify the equation as a conditional equation, an identity, or a contradiction.
−4+3x−5x=−1−10+x

Answer 1

Solving the equation, it is found that it is classified as conditional.

• It is conditional if there is a solution for x.
• It is an identity if both sides are equal.
• If is a contradiction if there are no solutions for x.

The equation is:

$-4 + 3x - 5x = -1 - 10 + x$

Solving it:

$-4 - 2x = x - 11$

$3x = 7$

$x = \frac{7}{3}$

Solution for $x = \frac{7}{3}$, thus conditional.

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