Question

question 1 (multiple choice worth 2 points) (04.04r mc)
solve for x: $\frac{2}{10}=\frac{3}{x-9}$
9
10
18
24
question 2 (multiple choice worth 2 points) (04.04r mc)
solve for x: $\frac{5}{x}=\frac{4}{x+3}$
5
3
-3
-15
question 3

Explanation:

Question 1

Step1: Cross-multiply to eliminate fractions

$2(x-9) = 3 \times 10$

Step2: Simplify both sides

$2x - 18 = 30$

Step3: Isolate the variable term

$2x = 30 + 18$
$2x = 48$

Step4: Solve for x

$x = \frac{48}{2} = 24$

Question 2

Step1: Cross-multiply to eliminate fractions

$5(x+3) = 4x$

Step2: Expand the left side

$5x + 15 = 4x$

Step3: Isolate the variable term

$5x - 4x = -15$

Step4: Solve for x

$x = -15$

Answer:

Question 1: 24
Question 2: -15