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loulou6166
28.07.2019 •
Mathematics
Solve the following system in three variables using linear combinations. 3x−2y+z=0 4x+y−3z=−9 9x−2y+2z=20
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Ответ:
The solution of the system of equations is
x=2,y=7,z=8
Step-by-step explanation:
we have
3x-2y+z=0
isolate the variable z
z=2y-3x > equation A
4x+y-3z=-9 > equation B
9x-2y+2z=20 > equation C
substitute equation A in equation B and equation C
4x+y-3(2y-3x)=-9
4x+y-6y+9x=-9
13x-5y=-9 > equation D
9x-2y+2(2y-3x)=20
9x-2y+4y-6x=20
3x+2y=20 > equation E
Solve the system
13x-5y=-9 > equation D
3x+2y=20 > equation E
Multiply equation E by 2.5 both sides
2.5*(3x+2y)=20*2.5
7.5x+5y=50 > equation F
Adds equation D and equation F
13x-5y=-9
7.5x+5y=50
13x+7.5x=-9+50
20.5x=41
x=41/20.5
x=2
Find the value of y
substitute the value of x in the equation E
3(2)+2y=20
6+2y=20
2y=20-6
2y=14
y=7
Find the value of z
Substitute the value of x and the value of y in equation A
z=2y-3x
z=2(7)-3(2)
z=14-6
z=8
therefore
The solution of the system of equations is
x=2,y=7,z=8
Ответ:
Step-by-step explanation:
Oh my gwad karen- ;-;
I’m scared now in the pic below-
Shoyo hinata here~