document.write( "Question 96925: ma scored 273 points last season for her high school basketball team. her points results from a combination of two-points shots and three-points shots. she made a total of 119 shots. how many of each type of shot did ma make?\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "define 2 variables and write 2 equations and solve them algbraically. \n" ); document.write( "

Algebra.Com's Answer #70564 by mathslover(157) $\"\"$ $\"About$

You can put this solution on YOUR website!
Suppose ma scores x number of 2 point shots and y number of 3 point shots\r
\n" ); document.write( "\n" ); document.write( "her total shots = x + y
\n" ); document.write( "=> x+y =119......(1)\r
\n" ); document.write( "\n" ); document.write( "points scored from her 2 point shots = 2*x
\n" ); document.write( "points scored from her 3 point shots = 3* y
\n" ); document.write( "total points scored = 2*x + 3*y
\n" ); document.write( "=> 2x + 3y = 273 ....(2)\r
\n" ); document.write( "\n" ); document.write( "Multipying (1) by 2 on both sides
\n" ); document.write( " 2x+ 2y = 238 ....(3)\r
\n" ); document.write( "\n" ); document.write( "subtract (3) from (2)\r
\n" ); document.write( "\n" ); document.write( "y= 35\r
\n" ); document.write( "\n" ); document.write( "therefore x = 119 - 35=84\r
\n" ); document.write( "\n" ); document.write( "number of 2 point shots 84
\n" ); document.write( "number of 3 point shots 35 \n" ); document.write( "

\n" );