Question

Translate the given statement into a linear equation in the form ax + by = c using the indicated variable names. Do not try to solve the resulting equation. HINT [See Example 7 and the end of section FAQ.] The number of new clients (x) is 154% of the number of old clients (y).

Answer 1

Answer:

$100x - 154y = 0$

Step-by-step explanation:

We are given the following in the question:

The number of new clients is 154% of the number of old clients.

Let x be the old clients and y be the new clients.

We have to write the given relation in the form ax + by = c.

According to the question, we can write:

$x = 154\% \times y\\\\x = \dfrac{154}{100}\times y\\\\x - \dfrac{154}{100}y = 0\\\\\Rightarrow 100x - 154y = 0$

Comparing to ax + by = c, we get.

a = 100, b= 154, c = 0