Q58. - Algebra 2

Question

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

58.$2x-y+3z$.

Step-by-Step Solution

Answer

The value of $2x-y+3z$ is 5.

Step 1 – Use the substitution method to find the value of 2 x - y + 3 z .

Substitute $x=-2,y=6$ and $z=5$ in $2x-y+3z$.

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

Step 2 – By applying the order of operations simplify the value of 2 x - y + 3 z

$\begin{array}{c}2x-y+3z=2(-2)-6+3\left(5\right)\\ =-4-6+15\text{\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}Simplify the paranthesis}\\ =-10+15\text{\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}Do the addition}\\ =5\text{\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}Do the subtraction}\end{array}$

Step 3 – Conclusion

By substituting the values $x=-2,y=6$ and $z=5$ in $2x-y+3z$, the value of the expression is 5.