smithm29:
solve this system of linear equations
Vocaloid:
we can multiply the second equation by 3 to eliminate x
Vocaloid:
6x - 4y = -44 6x + 9y = -18
Vocaloid:
then you can subtract
Vocaloid:
-4y - 9y = ?
smithm29:
-13y
Vocaloid:
good -44 - (-18) = ?
smithm29:
-26
smithm29:
right?
Vocaloid:
good so if -13y = -26 then y = ?
smithm29:
2
Vocaloid:
good, so now we can substitute y to get x
Vocaloid:
2x + 3(2) = -6 x = ?
smithm29:
-6?
Vocaloid:
good so (-6,2) = your ans
Vocaloid:
double the first eq then subtract
Vocaloid:
8x + 18y = -6 8x + 12y = 12 y = ?
smithm29:
i got -4.6 repeated
Vocaloid:
18y - 12y = ?
smithm29:
6y
Vocaloid:
good -6 - 12 = ?
smithm29:
-28
Vocaloid:
one more time
smithm29:
-18
Vocaloid:
good so 6y = -18 y = ?
smithm29:
-3
smithm29:
x=1?
Vocaloid:
4x + 9(-3) = -3 x = ?
smithm29:
6
smithm29:
?
Vocaloid:
good so your answer is (6,-3)
Vocaloid:
multiply the first equation by 5
smithm29:
k
Vocaloid:
20x + 15y = 65 20x + 11y = 37 then subtract
Vocaloid:
make sure you are subtracting the y's and then the whole numbers
Vocaloid:
use the same method I used in the last problem
smithm29:
so would y=7?
Vocaloid:
yup good job
smithm29:
thx
Vocaloid:
then we can re-substitute 4x +3(7) = 13 x = ?
smithm29:
8.5?
smithm29:
is that right?
Vocaloid:
3*7 = 21 13 - 21 = ?
smithm29:
-8
Vocaloid:
so if 4x = -8 then x = ?
smithm29:
-2
Vocaloid:
good so your ans = (-2,7)
Vocaloid:
we can multiply the first eq by 9 and the second eq by 5
smithm29:
1st eq=45x+18y=117?
Vocaloid:
good
smithm29:
2nd eq=-45x+35y=95
Vocaloid:
good, now let's add them together
Vocaloid:
18y + 35y =
smithm29:
53y
Vocaloid:
good 117 + 95 = ?
smithm29:
53y=212
Vocaloid:
good, so y = ?
smithm29:
y=4?
Vocaloid:
good
Vocaloid:
now we re-substitute 5x + 2(4) = 13 x = ?
smithm29:
1?
Vocaloid:
good
smithm29:
am i right?
Vocaloid:
so your answer is (1,4)
Vocaloid:
multiply first eq by 3 and second eq by 2 let me know what you get
smithm29:
-27x+6y=-48 38x+6y=82
smithm29:
right?
Vocaloid:
good, now subtract the two equations
smithm29:
-130?
Vocaloid:
good but don't forget about the x's
Vocaloid:
-27x - 38x = ?
smithm29:
-65
Vocaloid:
good so if -65x = -130 then x = ?
smithm29:
2
smithm29:
?
Vocaloid:
good
Vocaloid:
so if x = 2 then -9(2) + 2y = -16, y = ?
smithm29:
1
smithm29:
so... 2,1?
Vocaloid:
perfect
smithm29:
im gonna open a new question
Vocaloid:
ok
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