Question

Why is x = 4 a solution to the proportion 15/x = 56/16 A) because 56 divided by 14 equal to 4. B) because 56 divided by 16 is equal to 4. C) because if you substitute 4 into the equation for x and cross multiply, you get 196 = 196. D) because if you substitute 4 into the equation for x and cross multiply, you get 224 = 224

Answer 1

Answer:

The given proportion is

  \frac{14}{x}=\frac{56}{16}\\\\14 \times 16=56\times x\\\\x=\frac{14 \times 16}{56}\\\\x=\frac{16}{4}\\\\x=4

Substitute , x=4 in the equation

 \frac{14}{4}=\frac{56}{16}\\\\56 \times 4=14 \times 16\\\\224=224

Option D

Because if you substitute 4 into the equation for x and cross multiply, you get 224 = 224.

Step-by-step explanation:

Answer 2

Answer:

The given proportion is

   $\frac{14}{x}=\frac{56}{16}\\\\14 \times 16=56\times x\\\\x=\frac{14 \times 16}{56}\\\\x=\frac{16}{4}\\\\x=4$

Substitute , x=4 in the equation

  $\frac{14}{4}=\frac{56}{16}\\\\56 \times 4=14 \times 16\\\\224=224$

Option D

Because if you substitute 4 into the equation for x and cross multiply, you get 224 = 224.