I have a similar problem to <3Medic+Droid<3's one about corn dogs and burritos for his(or hers) Algebra Answer Check thingy. So i've been trying to figure that one out so i might better understand how to do mine-but i keep getting stuck on this part of the substitution.(well i think this is where my mistake is.)
c=-b+600
.35(-b+600)+.75b=360 <---this part
When i distribute out .35 i get
-.35b+210+.75b=360
Kay, so then after i combine like terms(i chose to move the .75b) subtract 210 from both sides and all that good stuff, i get
-1.1b=150 <--i also think this is wrong
b=-136.3636364 (rounded to -136.36)
When i plug it into c=-b+600, i get that c=463.64.
I know this is wrong, but i don't know what i did to get this answer. Can you help me out please? Thank you.
Ok, the signs are different on the left side b's.
.40b=150 then solve for b.
-.35b+210+.75b=360 agree
then
.40 b + 210 = 360
.40 b = 150
b = 375
Oh thank you,Thank You, THANK YOU!
kay, so how would you turn that into a matrix in the form of
[1 0 A]
[0 1 B] ?
Would you just plug c in for A and b in for..well B? if not then how do you solve this?
Kat
.4 b + 0 c = 150
1 b + 1 c = 600
augmented matrix:
0.4 0.0 150
1.0 1.0 600
divide top equation by .4 to get 1 in upper left
1.0 0.0 375
1.0 1.0 600
subtract second row from first to make new second row with 0 on left
1.0 0.0 375
0.0 -1.0 -225
divide row two by -1 to get identity matrix augmented with solution
1.0 0.0 375
0.0 1.0 225
so
b = 375
c = 225
thx
Of course, I can help you with that! Let's go through the steps together to identify where the mistake might be.
Starting with the equation:
0.35(-b+600) + 0.75b = 360
When you distribute the 0.35 to (-b+600), you should get:
-0.35b + 210 + 0.75b = 360
Now, let's combine like terms by adding the b terms together:
(0.75b - 0.35b) + 210 = 360
0.4b + 210 = 360
To isolate the term with b, we need to move 210 to the other side of the equation. Since the term is positive, we subtract 210 from both sides:
0.4b = 360 - 210
0.4b = 150
Now, divide both sides of the equation by 0.4 to solve for b:
b = 150 / 0.4
b = 375
Therefore, the correct value for b is 375, not -136.36. Let's double-check by substituting this value back into the original equation:
c = -b + 600
c = -(375) + 600
c = -375 + 600
c = 225
So, the correct values are b = 375 and c = 225.