Question

If y= 12 when x = 18, find xwhen y=-16.

Answer 1

x = -24

Step-by-step explanation

We have that y = 12 when x = 18.

To solve this we have to use the ratio of y to x.

We have that y : x is:

12 : 18

We also have:

-16 : x

Since the ratios are equal to y : x, we have:

`\begin{gathered} 12\text{ : 18 = -16 : x} \\ \Rightarrow\text{ }(12)/(18)\text{ = }(-16)/(x) \\ \text{Cross}-mu\text{ltiply:} \\ 12\cdot\text{ x = -16 }\cdot\text{ 18} \\ x\text{ = }\frac{-16\cdot\text{ 18}}{12} \\ x\text{ = -24} \end{gathered}`

That is the value of x.