Question

If xss="latex-formula">
yz, and when y=-2, z=-3, x=30. when y=4, x=80. find z
​

Answer 1

Answer: $z = 4$

Step-by-step explanation:

Given:

$x \alpha yz$

replacing the proportionality sign with a constant , we have :

$x = kyz$

substituting : $y = -2$ , $z = -3$ and $x = 30$ into the equation , we have :

$30 = k(-2)(-3)$

$30 = 6k$

divide through by 6

$k = 5$

substituting  $k = 5$ into the equation , the equation becomes

$x = 5yz$

To find the value of z , when y = 4 , x = 80 , we will substitute the values into the formula , we have :

$80 = 5(4)(z)$

$80 = 20z$

dividing through by 20 , we have :

$z = 4$