Q57. - Algebra 2

Question

Evaluate each expression if $x=-2,y=6,$and $z=5$.

57.$x+y+z$.

Step-by-Step Solution

Answer

The value of $x+y+z$ is 9.

Step 1 – Use the substitution method to find the value of x + y + z .

Substitute$x=-2,y=6$ and$z=5$ in .$x+y+z$

$x+y+z=(-2)+6+5$

Step 2 – By applying the order of operations simplify the value of x + y + z .

$\begin{array}{c}x+y+z=(-2)+6+5\\ =-2+6+5\text{\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}Simplify the paranthesis}\\ =4+5\text{\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}Do the subtraction}\\ =9\text{\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}Do the addition}\end{array}$

Step 3 – Conclusion

By substituting the values $x=-2,y=6$and $z=5$ in $x+y+z$, the value of the expression is 9.