Chapter 11.CM, Problem 1CM

To determine

To evaluate:

$x+2y-z$ for $x=3,y=-5$ and $z=-4$

Answer to Problem 1CM

Solution:

$x+2y-z=-3$.

Explanation of Solution

Solving an equation is to find the values of the unknowns in the equation, which on substitution it must satisfy, the equation.

Calculation:

Given,

$x+2y-z$

Substitute $x=3,y=-5$ and $z=-4$ in the above equation,

$x+2y-z=3+2\left(-5\right)-\left(-4\right)$

$=3-10+4$

Combine the like terms.

$=\left(3+4\right)-10$

$=7-10$

$=-3$

$x+2y-z=-3$.

Final statement:

Therefore, $x+2y-z=-3$.