Solve Rational Equations with Variables in the Denominators
First, write the value(s)that make the denominator(s)zero. Then solve the equation.
-$$\frac { 3 } { x - 1 } + 1 = \frac { 7 } { x - 1 }$$
A) $x \neq 1 ; \{ 5 \}$
B) $x \neq - 1 ; \{ 5 \}$
C) $x \neq - 1 ; \{ 11 \}$
D) $x \neq 1 ; \varnothing$

Question

Quizplus · Accepted Answer

The value that makes the denominator zero is $x = 1$, so $x \neq 1$. To solve the equation, subtract $\frac{3}{x-1}$ from both sides to get $1 = \frac{4}{x-1}$. Multiplying both sides by $x-1$ gives $x-1 = 4$, so $x = 5$.

Solve Rational Equations with Variables in the Denominators First, Write 3x−1+1=7x−1\frac { 3 } { x - 1 } + 1 = \frac { 7 } { x - 1 }x−13​+1=x−17​

Solve Rational Equations with Variables in the Denominators
First, Write $\frac { 3 } { x - 1 } + 1 = \frac { 7 } { x - 1 }$