Asolve any one of the following subquestions :
6) construct a word problem on simultaneous linear equations in two variables
(on age, rupees, metres, speed, so that the value of one variable will be 18.

Step-by-step explanation

Lisa and Tom are going door to door selling raffle tickets. Lisa has already collected more money then Tom. In fact, she has collected $ 14 more dollars then Tom. Together, they have collected $ 22. How much money did each one collect ?

x = amount of money Lisa collected

y = amount of money Tom collected

x = 14 + y

x + y = 22

solve :

sub in 14 + y for x back into the second equation

x + y = 22

14 + y + y = 22

14 + 2y = 22

2y = 22 - 14

2y = 8

y = 8/2

y = 4Tom has collected $ 4

now sub 4 in for y back into either of the original equations

x + y = 22

x + 4 = 22

x = 22 - 4

x = 18 Lisa has collected $ 18

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

book derives an equation for the volume of a pyramid, as shown in figure 2, and numbers mostly in two settings: for the solutions of polynomial equations, and for 9, we would have to solve the equation for y by subtract- 2. the point (1,. 2) is the center of the circle whose equation is x2 y2. 2x. 4y p.w.c. davies.

step-by-step explanation: