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September 30, 2016
Posted by **star** on Thursday, August 26, 2010 at 3:50am.

In a basketball game, Will scored 26 points, consisting only of three-point shots and two-point shots. He made a total of 11 shots. How many shots of each type did he make?

- algebra -
**jai**, Thursday, August 26, 2010 at 4:31amfirst, represent the unknown using variables:

let x = number of 2-point shots

let y = number of 3-point shots

then set-up the equations. for the first statement, total score is 26, so:

2x + 3y = 26

for the second statement, total number of shots is 11, so:

x + y = 11

using substitution:

for the 2nd equation, x + y = 11, express one of the variables in terms of the other,, in this case, i will use x:

x + y = 11 *transpose all terms not containing x

x = 11 - y *when transposing, the sign of the term transposed would be the opposite

then substitute to the 1st equation:

2x + 3y = 26

2(11 - y) + 3y = 26

22 - 2y + 3y = 26

22 + y = 26

y = 26-22 = 4

substituting the value obtained for y on either equations: (in this case, substitute to 1st equation)

x + y = 11

x + 4 = 11

x = 7

therefore,,

x = 7 two-point shots, and

y = 4 three-point shots

so there,, =) - algebra -
**rahma**, Friday, September 24, 2010 at 9:02am4\x+@=3

- algebra -
**rahma**, Friday, September 24, 2010 at 9:03am4\x+2=3