Math, asked by mehazavi331, 1 day ago

solve the system of equation by using gauss Jordan method
 - 3x + 2y - 6z = 14  \\ 4x - 5y + 2z =  - 3 \\ 7x + 9y + 3z = 14

Answers

Answered by sabbarsinghb99
1

Answer:

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1)

2)

3)

all ans with step

Step-by-step explanation:

1).

Let's solve for x.

−3x+2y−6z=14

Step 1: Add -2y to both sides.

−3x+2y−6z+−2y=14+−2y

−3x−6z=−2y+14

Step 2: Add 6z to both sides.

−3x−6z+6z=−2y+14+6z

−3x=−2y+6z+14

Step 3: Divide both sides by -3.

−3x

−3

=

−2y+6z+14

−3

x=

2

3

y−2z+

−14

3

Answer:

x=

2

3

y−2z+

−14

3

2). Let's solve for x.

4x−5y+2z=−3

Step 1: Add 5y to both sides.

4x−5y+2z+5y=−3+5y

4x+2z=5y−3

Step 2: Add -2z to both sides.

4x+2z+−2z=5y−3+−2z

4x=5y−2z−3

Step 3: Divide both sides by 4.

4x

4

=

5y−2z−3

4

x=

5

4

y+

−1

2

z+

−3

4

Answer:

x=

5

4

y+

−1

2

z+

−3

4

3). Let's solve for x.

7x+9y+3z=14

Step 1: Add -9y to both sides.

7x+9y+3z+−9y=14+−9y

7x+3z=−9y+14

Step 2: Add -3z to both sides.

7x+3z+−3z=−9y+14+−3z

7x=−9y−3z+14

Step 3: Divide both sides by 7.

7x

7

=

−9y−3z+14

7

x=

−9

7

y+

−3

7

z+2

Answer:

x=

−9

7

y+

−3

7

z+2

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