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allel lines, create a proportion and solve 2. 4. x 6 x - 2 4

Question

allel lines, create a proportion and solve
2.
4.
x
6
x - 2
4

Explanation:

Step1: Solve problem 2: Set up proportion

$\frac{7}{5} = \frac{9}{x}$

Step2: Cross-multiply to solve for x

$7x = 9 \times 5$
$7x = 45$
$x = \frac{45}{7}$

Step3: Solve problem 4: Set up proportion

$\frac{x}{6} = \frac{x-2}{4}$

Step4: Cross-multiply to eliminate denominators

$4x = 6(x-2)$

Step5: Expand and simplify equation

$4x = 6x - 12$
$12 = 6x - 4x$
$12 = 2x$
$x = 6$

Answer:

Problem 2: $\frac{45}{7}$
Problem 4: $6$