12. [4.2/8.37 Points]
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LARLINALG8 1.2.053.
PREVIOUS ANSWERS ASK YOUR TEACHER
PRACTICE ANOTHER
The following system has one solution: $x = 2$, $y = -2$, and $z = 1$.
$4x - 2y + 5z = 17$ Equation 1
$x + y = 0$ Equation 2
$-x - 3y + 2z = 6$ Equation 3
(a) Solve the system provided by Equations 1 and 2. (If there is no solution, enter NO SOLUTION. If the system has an infinite number of solutions, express $x$, $y$, and $z$ in terms
of the parameter $t$.)
$(x, y, z) = (
NO SOLUTION
)
(b) Solve the system provided by Equations 1 and 3. (If there is no solution, enter NO SOLUTION. If the system has an infinite number of solutions, express $x$, $y$, and $z$ in terms
of the parameter $t$.)
$(x, y, z) = (
NO SOLUTION
)
(c) Solve the system provided by Equations 2 and 3. (If there is no solution, enter NO SOLUTION. If the system has an infinite number of solutions, express $x$, $y$, and $z$ in terms
of the parameter $t$.)
$(x, y, z) = (
NO SOLUTION
)
(d) How many solutions does each of these systems have?
Equations 1 and 2:
$\circ$ zero
$\circ$ one
$\circ$ infinitely many
