The equation y=19x relates proportional quantities x and y. what is the value of x when y is 4?
Answer: The required value of x is \(\dfrac{4}{19}.\)
Step-by-step explanation: Given that the following equation relates proportional quantities x and y :
\(y=19x~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\)
We are to find the value of x when y is 4.
To find the value of x, we must substitute y = 4 in equation (i) and find the corresponding value of x.
From equation (i), we get
\(y=19x\\\\\Rightarrow 4=19x\\\\\Rightarrow x=\dfrac{4}{19}.\)
Thus, the required value of x is \(\dfrac{4}{19}.\)