solve each system of equations using elimination or substitution: 2x-3y=8 x+y=4 please, please, PLEASE help me... I am so confuzzled its scary!
Lets do substitution. Step 1: Solve x+y=4 for x. Can you do that?
soory was having lunch. no i do not know how to do that, but i am a fast learner and if you coud just explain i would be so happy
x + y = 4.....we want x on one side everything else on the other side, so subtract y from both sides and what do you get ?
oh...the asker just left......he/she was just here
must not want to learn, just wants the answer
no no no no no.... i was just checking on my baby sister. she fell and needed a bandaid. please stay i really do want to learn and no i dont just want the answer
x=4-y right?
please stay with me. i just need to figure this out :(
yes....x = 4 - y now that we know what x is we substitute 4 - y in for x in the other equation. can you do that ?
so like 2(4-y)-3y=8?
8-2y-3y=8
yes...now combine like terms
you need help
how do i combine terms? hold on i need to get my charger.. this will take like to seconds pease dont disappear my laptop is about to die on me:)
add your y's together
ok im back... so how do i combine terms
add the y's together
2y +3y=5y?
or is it -2y+3y=1y?
no... 8 - 2y - 3y = 8 (add the y's) 8 - 5y = 8 now we want 5y by itself so subtract 8 from both sides -5y = 8-8 -5y = 0 y = 0/-5 which is 0 do you understand ?
yeah, i am following :)
so we know that y = 0. Now sub 0 in for y in either of your original equations to find x
so 2(4-0)-0=8? 8-0=8???
2x - 3y = 8 2x - 3(0) = 8 2x - 0 = 8 2x = 8 x = 8/2 x = 4 do you understand ? or you could have subbed it into the other equation: x + y = 4 x + 0 = 4 x = 4
wait!!! okay i think i figured it out. y=0 and x=4 once i put it as an ordered pair it makes complet and total sense!!!
you can check your answers by subbing in known values into either or both or your original equations... 2x + 3y = 8 2(4) + 3(0) = 8 8 + 0 = 8 8 = 8 (correct) if the final result comes out equal, then you have the correct answers
ok thank you... i gotta go clean my room so bye-bye. thanks for the help
your welcome.....sorry about what I said earlier....I was having a bad morning
Is your baby sister ok ?
I am sure she is....have fun cleaning your room....make it a game, it makes it easier
thanks. you are like my math super hero right now and yeah its totally cool. i rage on people randomly all the time and yeah my sisters fine thanks bye
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