Given : XY = 3Wx
YZ = 6 WX
Prove: WZ=10wx

Step-by-step explanation:

XY = 3WX

3WX - XY = 0

X(3W - Y) = 0

By zero product rule, either X = 0 or 3W = Y.

YZ = 6WX = 2XY (From 1st equation)

2XY - YZ = 0

Y(2X - Z) = 0

Again by zero product rule, either Y = 0 or 2X = Z.

Therefore, either both X and Z = 0, or both W and Y = 0. Let's look at the last equation.

WZ = 10WX

10WX - WZ = 0

W(10X - Z) = 0.

Here, either W = 0 or 10X - Z = 0.

- If both X and Z were 0, 10X - Z = 0.

- If both W and Y were 0 instead, W = 0.

Since both ways satisfy the equation, it is proved.

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

sinn is the total amount of students now and m were the students before, you subtract them both (n-m) and divide that by m. then, since to get a percentage from a fraction you have to multiply by 100, your answer should look like this: n-m/m*100

step-by-step explanation: