Question

Evaluate each expression if$x=4,y=-2,$ and$z=6$

10. $z-x+y$

Short answer

Expression$z-x+y$ results into 0.

Step-by-step solution

- Order for simplification 

To evaluate any expression involving more than one operation, follow the below order of operations:

• First evaluate expressions inside grouping symbols like parentheses ( ) or brackets [ ].
• Evaluate the exponents.
• Perform Multiplication and division from left to right.
• Perform addition and subtraction from left to right.

- Substitute given values

Simplify from left to right.

Subtract x from z, then add resultant with y.

Substitute 4 for x, $-2$for y and 6 for z into given expression

$z-x+y=6-4+\left(-2\right)$

- Simplify 6-4+-2

Follow order of simplification

$6-4=2$

Then$2+\left(-2\right)=0$

Thus, $z-x+y=0$