Answer
No solution.
Work Step by Step
The given equations are
$\Rightarrow 3x+4y+5z=8$ ......(1)
$\Rightarrow x-2y+3z=-6$ ......(2)
$\Rightarrow 2x-4y+6z=8$ ......(3)
Multiply equation (2) by $2$.
$\Rightarrow 2x-4y+6z=-12$ ......(4)
Now add equation (1) and (4).
$\Rightarrow 3x+4y+5z+2x-4y+6z=8-12$
Add like terms.
$\Rightarrow 5x+11z=-4$ ...... (5)
Add equation (1) and (3).
$\Rightarrow 3x+4y+5z+2x-4y+6z=8+8$
Add like terms
$\Rightarrow 5x+11z=16$ ......(6)
Subtract equation (5) from equation (6).
$\Rightarrow 5x+11z-(5x+11z)=16-(-4)$
Simplify.
$\Rightarrow 5x+11z-5x-11z=16+4$
$\Rightarrow 0=20$
The above statement is false.
Hence, there is no solution.
