Question

Solve : 4x +5y+6z =0 5x+ 6y +7z =0 7x + 8y +9y = 6

Answer 1

Answer:

Solve Using a Matrix with Cramer's Rule 8x+3y=-7 , x+4y=12

Solve Using a Matrix with Cramer's Rule -8x+3y=-8 , -8x+y=-3

Solve Using a Matrix with Cramer's Rule 8x+4y=-8 , -16x-8y=17

Solve Using a Matrix with Cramer's Rule 8x+5y=6 , 7x-y=4

Solve Using a Matrix with Cramer's Rule 8x+7y=12 , 5x+6y=-2

Solve Using a Matrix with Cramer's Rule -8x+8y=7 , x-5y=7

Solve Using a Matrix with Cramer's Rule 8x=24 , 6x+6y=0

Solve Using a Matrix with Cramer's Rule 8x-2y=9 , 4x+6y=5

Solve Using a Matrix with Cramer's Rule 8x-3y+6z=-2 , 4x+9y+4z=18 , 12x-3y+8z=-2

Solve Using a Matrix with Cramer's Rule 8x-3y=-1 , 10x+10y=7

Solve Using a Matrix with Cramer's Rule 8x-7y=-3 , -16x+14y=6

Answer 2

Answer:

4x +5y+6z =0 - - - - - (1)

5x+ 6y +7z =0 - - - (2)

7x + 8y +9z = 6 - - - - (3)

Multiplying (1) by 7 and (2) by 6 we get

28x +35y+42z = 0 - - - - (4)

20x+36y+42z=0 - - - - (5)

(4) - (5) gives

8x - y = 0

y =8x

From (1)

4x +5y+6z =0

4x + 40x +6z = 0

6z = -44x

3z = - 22x

From(3)

7x + 8y +9z = 6

7x + 64x - 66x = 6

5x = 6

x = 6/5

y = 48/5

Z = - 22/3 × 6/5 = - 44/5

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