Question

current learning objective: solving a rational equation
question 13
score: 0 of 1 point
solve the equation $\frac{8}{x}=\frac{7}{x - 6}$ for $x$.
a $x=-18$
b $x = 48$
c $x = 6$
d a solution does not exist.
submit answer attempts: 0/2
need help?
mathgpt isnt available for this question, but you can still master it! if your instructor enabled practice similar questions, youll get unlimited practice opportunities, plus ai tutoring if also enabled.
ask mathgpt
ai tutoring is no longer available for this assignment.

Explanation:

Step1: Cross - multiply

$8(x - 6)=7x$

Step2: Expand the left - hand side

$8x-48 = 7x$

Step3: Subtract 7x from both sides

$8x-7x-48=7x - 7x$
$x-48 = 0$

Step4: Add 48 to both sides

$x=48$

Answer:

B. $x = 48$