During the playoffs you score 2 goals per game. By the end of the second playoff game you had scored 22 goals for the year. Find an equation that gives the total number of goals scored for the year, y, in terms of the number of playoff games, x.

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To find the equation that gives the total number of goals scored for the year, y, in terms of the number of playoff games, x, we can use the given information.

We know that during the playoffs, you score 2 goals per game. So for each playoff game, the number of goals scored, y, can be represented as 2x.

By the end of the second playoff game, you had scored 22 goals for the year. Therefore, the total number of goals scored, y, can also be represented as 22.

Now, let's combine these two equations:

2x = y

Since we are trying to find the equation in terms of the number of playoff games, x, we can rewrite it as:

x = y/2

Substituting the value of 22 for y:

x = 22/2

Simplifying it further, we get:

x = 11

So, the equation that gives the total number of goals scored for the year, y, in terms of the number of playoff games, x, is:

y = 2x

or

y = 2(11)

Thus, the equation is y = 22.

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y = Number of goals scored during regular season + 2x