Wednesday

July 23, 2014

July 23, 2014

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

**Related Questions**

College Algebra - Translate the problem into a pair of linear equations in two ...

College Algebra - Translate the problem into a pair of linear equations in two ...

math - Translate the problem into a pair of linear equations in two variables. ...

College Algebra - 4. Translate the problem into a pair of linear equations in ...

systems word problems - the sum of two numbers is 11. their product is 30. find ...

algebra - i need help with these problems (either a solution or how to plug them...

quick question regarding equations - I know there are methods out there but what...

Geometry :( - this maths problem is wrecking my head.... 1.find the points of ...

Basic Math - I forgot how to solve for two variables... Please check if I solved...

Algebra 2 - 6x=9y-21. 6y=4x+14 plz help...I can't figure out how to do this ...