Solve the equations: x-y-5=0, x^2+2xy+y^2=9. . . . ANSWER = {(4,-1),(1,-4)}
HELP...
opinion from this ???
i want to solve this by substitution
there is a system of equations
so if you wann to solve it by substitution method what you need to do for ?
how will i do this by substitution i dont understand the equations... thats the point of asking
hint: if you have y = something, then you can plug that in for y in the other equation.
like y=x-5 right??
not is necessary so if you know how you need ,how you can substitute the y value or x value from one equation in place of y or x inside second equation ok ?
note if i had x+y = 3, and x+2y = 12 solve for y in the first equation y = 3-x plug this in for y in the second equation x+2(3-x) = 12 x+6 - 2x = 12 -x = 6 x = -6 now i plug this into either equation and solve for y
koli there you was right continue it
y=x-5 ??
yes is right sure
what should i do with this put it in second equation?
yes
yes
ok wait
just you need to make the calcule
x^2+2x^2-10x+x^2-10x+25=0 by substituting y
4x^2-20x+25=0 by simplifying further
yes and continue it
(x-5)(4x-5) by factorizing right??
x=5 and x=5/4
so if you have maked right,correct these calcules than is right sure hope so much that you have understood it all
not yet
yes because now if you have the x values you need to calcule again the y values ok ?
I thought your x values were 4 and 1
not mine x values that is the book's answer
so if you know that x=y+5 so than y= ?
it means i am doing wrong?
koli you dont wann writing here your calcules for can being checked ?
what?
so if x=y+5 than the second equation will be (y+5)^2 +2(y+5)y +y^2 =9 so can you continue it ?
he said show us your work
yes
the book is wrong it seems because this will factor into c(x+b)(x+a) = 0 so both our x's will be positive
err negative*
koli let's go please now here
i did a mistake
show your work to him:)
i forgot about 9 in eqn 2 opps wait i am solving again
(y+5)^2 +2(y+5)y +y^2 =9 so can you continue it ?
y^2 +10y +25 +2y^2 +10y +y^2 =9 continue it please
4y^2+20y+16=0
yes and continue it
come on ,please !!! this is easy
wait i am doing
write it here please
y=-1 and y=-4
so divide both sides by 4 and will get ???
i did it by quadratic formula
and i am substituting the values of y in x=y+5
4y^2+20y+16=0 /4 y^2 +5y +4 =0 factoriz it and will get (y+4)(y+1)=0 right ?
ANSWER = {(4,-1),(1,-4)} DID IT!!
thanks for helping me out
you have got it right understood it all ?
there is a question a very tuff one not like this question i have already asked it before but nobody could answer it, i waited for hours and nobody helped me out i am posting the question please can u help
but firstly this equation you have understood it all right sure ?
yeah i got it
ok so than i like help you so if i will can to do it what is your question ?
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