(2x)/(x-3)-(x+3)/(x-3) Which expression is equivalent to the sum for x!=3 ? Choose 1 answer: (A) 1 (B) (x+3)/(x-3) (c) (2x)/(x-3)-1 (D) (3x+3)/(x-3)

Observation: First, we observe that both terms have the same denominator, (x-3). This means we can combine the numerators over the common denominator.Combine Numerators: Combine the numerators over the common denominator: (2x)/(x-3) - (x+3)/(x-3) = (2x - (x+3))/(x-3)Simplify Numerator: Simplify the numerator by distributing the negative sign and combining like terms: 2x - x - 3 = x - 3Final Simplification: Now we have the simplified expression: (x - 3)/(x-3)Since x is not equal to 3, we can simplify the expression further by canceling out (x-3) in the numerator and the denominator: (x - 3)/(x-3) = 1, for x!=3

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(2x)/(x-3)-(x+3)/(x-3)
Which expression is equivalent to the sum for
x!=3 ?
Choose 1 answer:
(A) 1
(B)
(x+3)/(x-3)
(c)
(2x)/(x-3)-1
(D)
(3x+3)/(x-3)

$\frac{2 x}{x-3}-\frac{x+3}{x-3}$ $\newline$ Which expression is equivalent to the sum for $x \neq 3$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $1$ $\newline$ (B) $\frac{x+3}{x-3}$ $\newline$ (C) $\frac{2 x}{x-3}-1$ $\newline$ (D) $\frac{3 x+3}{x-3}$

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Math Problems

Algebra 1

Identify equivalent linear expressions

Full solution

\frac{2 x}{x-3}-\frac{x+3}{x-3}

\newline

Which expression is equivalent to the sum for

x \neq 3

\newline

Choose

1

answer:

\newline

(A)

1

\newline

(B)

\frac{x+3}{x-3}

\newline

(C)

\frac{2 x}{x-3}-1

\newline

(D)

\frac{3 x+3}{x-3}

Observation: First, we observe that both terms have the same denominator, $(x-3)$ . This means we can combine the numerators over the common denominator.
Combine Numerators: Combine the numerators over the common denominator: $\newline$ $(\frac{2x}{x-3}) - (\frac{x+3}{x-3}) = \frac{2x - (x+3)}{x-3}$
Simplify Numerator: Simplify the numerator by distributing the negative sign and combining like terms: $2x - x - 3 = x - 3$
Final Simplification: Now we have the simplified expression: $(x - 3)/(x-3)$
Final Simplification: Now we have the simplified expression: $\newline$ $(x - 3)/(x-3)$ Since $x$ is not equal to $3$ , we can simplify the expression further by canceling out $(x-3)$ in the numerator and the denominator: $\newline$ $(x - 3)/(x-3) = 1$ , for $x\neq3$