Question

solve the equation using the Gas Pedal Method 1 Liberation 10 X + Y + Z = 12
2 X + 10 Y + Z = 13 2 X + 2 Y + 10z = 14

Answer 1

Answer:

10x+y+z=12⋯(1)

2x+10y+z=13⋯(2)

2x+2y+10z=14⋯(3)

(1)−(2)

8x−9y=−1

8x=9y−1

x=

8

9y−1

⋯(4)

(2)−(3)

8y−9z=−1

9z=1+8y

z=

9

1+8y

⋯(5)

⟹10(

8

9y−1

)+y+(

9

1+8y

)=12

405y−45+36y+4+32y=432

473y=473

y=1

⟹x=

8

9(1)−1

=1

⟹z=

9

1+8(1)

=1