Question

XY= 3a+2b ZY=6a+4b , write two statements about the relationship between points X,Y and Z.

Answer 1

Answer:

$X=\frac{Z}{2}$

It is the first statement about the relationship between points X, Y, and Z.

$X=\frac{3a+2b}{Y}$

It is the second statement about the relationship between points X, Y, and Z.

Step-by-step explanation:

Given,

$XY=3a+2b\quad \quad ...(i)\\ZY=6a+4b\quad \quad ...(ii)$

Now from the equation $(ii)$,

$Y=\frac{6a+4b}{Z}$

put this in the equation $(i),$

$X\left(\frac{6a+4b}{Z}\right)=3a+2b$

$\Rightarrow X=\frac{Z}{6a+4b}(3a+2b)$

$\Rightarrow X=\frac{Z}{2(3a+2b)}(3a+2b)$

$\Rightarrow X=\frac{Z}{2}$

It is the first statement about the relationship between points X, Y, and Z.

$\because XY=3a+4b$

$\Rightarrow X=\frac{3a+2b}{Y}$

It is the second statement about the relationship between points X, Y, and Z.