Mathematics
lorevelz
2016-04-19 14:13:27
Which ordered pair is a solution to the system of linear equations? 2x + 3y= 6 –3x + 5y = 10 (0,2) (2,0) (3,2) (2,3)
ANSWERS
Aaconverse
2016-04-19 18:09:27

We have to add the equations in a clever way such that one of the variables cancels out. If you multiply the top one with 3 and the bottom one with 2, you cancel x. Like this: 3(2x+3y)=3*6 => 6x + 9y = 18 2(-3x+5y)=2*10 => -6x + 10y = 20 9y + 10y = 38 => 19y = 38 => y=2 If y=2 then 2x + 6 = 6 => x=0 The pair (0,2) is a solution.

Louanne
2016-04-19 18:10:42

(0,2)............................................

ADD ANSWER