Answer
No solution
Work Step by Step
A:$4x-y+2z=5$
B: $2y+z=4$
C: $4x+y+3z=10$
$2y+z=4$
$z=4-2y$
$4x-y+2z=5$
$4x-y+2(4-2y)=5$
$4x-y+8-4y=5$
$4x-5y=-3$
$4x+y+3z=10$
$4x+y+3(4-2y)=10$
$4x+y+12-6y=10$
$4x-5y=-2$
There is no solution as we have the same expression $(4x-5y)$ equal to two different values.