Question 1180529
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at a basketball game, a team made 54 successful shots. they were a combination of 1- and 2- point shots 
team scored 90 points in all. write and solve a system of equations to find the number of each shot.
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Let x be the number of the 1-point shots and y be the number of the 2-point shots.

Then

    x +  y = 54    (1)

    x + 2y = 90    (2)

is your system of two equations to find two unknowns x and y.


Subtracting equation (1) from equation (2), you get

         2y - y = 90 - 54

           y    = 36


Then from equation (2), you get

    x = 54 - 36 = 18.


<U>ANSWER</U>.  18 of the 1-point shots and 36 of the 2-point shots.
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Solved.