Q10. - Algebra 2

Question

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

10. $z-x+y$

Step-by-Step Solution

Answer

Expression $z-x+y$ results into 0.

Step 1 - 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.

Step 2 - 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

 $z-x+y=6-4+\left(-2\right)$

Step 3 - Simplify 6 - 4 + - 2

Follow order of simplification

$6-4=2$

Then $2+\left(-2\right)=0$

Thus,  $z-x+y=0$