Solve the system 3x+2y=1 and 2x+y=5
x=9 & y=-13
solve it by what method? any you perfer?
any method would be great.... kindly show me how... i don't get it..
need a walkthrough? you need to eliminate one of x & y from the two equations. i'd suggest you multiplied eqn 2 by 2 & subtract eqn 1 from it. this gives x=9. the rest is about substituting values int the other equation. btw your calculator can do this in less time than it takes to load this page!
For the conoisseur theres gauss elim, cramers rule & others. for us.. common sense :P
elimination (simply get rid of a variable) 3x+2y=1 2x+ y=5 <-- multiply by -2 (why?) 3x+2y = 1 -4x-2y =-10 ------------ ; add together -1x = -9 ; and solve for x x = -9/-1 = 9
or u can use substitution method!!
sub is a good method; time consuming and labor intensive; but a good method
substitution comes only after he has eliminated a variable to get the value of the other,
substituion is the method of solving one of the equations for x or y; then "substituting" that quasi value into the other equation; its elimination of a variable but the long way
now since x = 9 from above we can take any equation and solve for y with it 2x+y=5 2(9)+y=5 18+y=5 y = -18+5 y = -13
if you have any questions, just ask :)
Thank you!!! I get it now!! :D
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