210y2 – 2yz - 372 S2y2-3yz + 5z?
Answers
Answer:
Hey !
Answer :
x = 1 ; y = 2 ; z = 3
\begin{gathered}\\\end{gathered}
Solution:
Given 3 equations with 3 unknown variables, which is enough to find them.
3x-2y+z = 2. ------[1]
2x+3y-z= 5. -------[2]
x+y+z=6 ------------[3]
\begin{gathered}\\\end{gathered}
Step-1:
Get two equations by eliminating a variable,
(Eliminating y)
Do 2x[3]
2x+2y+2z = 12 ------[4]
Do [4]+[1]
=> 5x+3z = 14 -------[5]
Do 3×[3]
=> 3x+3y+3z = 18 -----[6]
Do [6]-[2]
=> x + 4z = 13 -----[7]
Y is eliminated in both [5] and [7]
\begin{gathered}\\\end{gathered}
Step-2: Get value of one variable using the obtained 2 equations after eliminating another variable.
(Eliminating z)
Do 5×[7]
=> 5x+20z = 65 -----[8]
Do [8]-[5]
=> 17 z = 51
=> z = 3 .
\begin{gathered}\\\end{gathered}
Step-3:
Use the equation to obtain another variable
Substitute in [5]
=> 5x +3(3) = 14
=> 5x = 14 - 9
=> 5x =5
=> x = 1.
\begin{gathered}\\\end{gathered}
Step-4:
Use another equation to obtain value of variable left.
Substitute x and z in [3]
=> 1+y+3 = 6
=> y = 6-4
=> y = 2
•°• x = 1 ; y = 2 ; z= 3
\begin{gathered}\\\end{gathered}
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