Is the ordered triple a solution to the given system of equations?
-$$\begin{array} { c }
( 2,9 , - 4 ) \
2 x - 5 y - 9 z = - 5 \
x + y + z = 7 \
3 x - y + 5 z = 35
\end{array}$$
A) $\mathrm { No }$
B) Yes

Question

Is the ordered triple a solution to the given system of equations?
-$$\begin{array} { c } 
( 2,9 , - 4 ) \
2 x - 5 y - 9 z = - 5 \
x + y + z = 7 \
3 x - y + 5 z = 35
\end{array}$$
A) $\mathrm { No }$
B) Yes

Quizplus · Accepted Answer

If we substitute $x=2$, $y=9$, and $z=-4$ into the three equations, we get:

$2(2)-5(9)-9(-4)=-5$ which simplifies to $-19
eq -5$.

$2+9-4=7$ which is true.

$3(2)-9+5(-4)=-9$ which simplifies to $-9
eq 35$.

Therefore, the ordered triple $(2,9,-4)$ does not satisfy the system of equations. Hence, the answer is A) No.

Is the Ordered Triple a Solution to the Given System (2,9,−4)2x−5y−9z=−5x+y+z=73x−y+5z=35\begin{array} { c } ( 2,9 , - 4 ) \\2 x - 5 y - 9 z = - 5 \\x + y + z = 7 \\3 x - y + 5 z = 35\end{array}(2,9,−4)2x−5y−9z=−5x+y+z=73x−y+5z=35​

Is the Ordered Triple a Solution to the Given System $\begin{array} { c } ( 2,9 , - 4 ) \\2 x - 5 y - 9 z = - 5 \\x + y + z = 7 \\3 x - y + 5 z = 35\end{array}$