Math, asked by kambohdanis805, 1 month ago

210y2 – 2yz - 372 S2y2-3yz + 5z?​

Answers

Answered by rathodsuresh5855
1

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}

Meowwww xD

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