Question

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

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

Short answer

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

Step-by-step solution

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

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

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

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

$\begin{array}{c}2x-y+3z=2(-2)-6+3\left(5\right)\\ =-4-6+15\text{\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}Simplifytheparanthesis}\\ =-10+15\text{\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}Dotheaddition}\\ =5\text{\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}Dothesubtraction}\end{array}$

– Conclusion

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