Question

11. At a basketball game, a team made 56 successful shots. They were a combination of 1- and 2-point shots. The team scored 94 points in all. Use elimination to solve the system of equations to find the number of each type of shot. x + y = 56 x + 2y = 94​

Answer 1

y = 38

x = 18

Explanation:

Equation 1. x + y = 56

Equation 2. x + 2y = 94​

We can use substitution

Let's create equation 3: 56 - y = x

Now using equation 3, substitute equation 2.

Equation 2 is now written as:

56 - y + 2y = 94

56 + y = 94

y = 38

Given the value of y, substitute equation 1 and find x

x + 38 = 56

x = 18

Hope this helps :)

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