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● Verify to be sure whether the answer satisfies the conditions of the problem.

Example: (Elimination Method)

A park charges $10 for adults and $5 for kids. How many many adults tickets and kids
tickets were sold, if a total of 548 tickets were sold for a total of $3750

Solution:

Step 1 :

Let "x" be the no. of adult tickets and "y" be the no. of kids tickets.

According to the question, we have

x + y = 548 ---------(1)

And also,

10x + 5y = 3750

Divide both sides by 5.

2x + y = 750 --------(2)

Step 2 :

Eliminate one of the variables to get the value of the other variable.

In (1) and (2), variable "y" is having the same coefficient. But, the variable "y" is having
the same sign in both the equations.

To change the sign of "y" in (1), multiply both sides of (1) by negative sign.

- (x + y) = - 548

- x - y = - 548 --------(3)

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