Q41. - Algebra 2

Question

Simplify each expression.

41. $5x+2y-4x+y$

Step-by-Step Solution

Answer

The value of expression is $x+3y.$

Step-1 –Apply the concept of addition of variable

Two same variable with the same sign got added and resulting variable carries the similar sign so if the two same variables with positive sign being added, the resulting sum will be positive as well. In addition, if two variables with negative sign being added, then the resulting sum will be negative.

Step-2 –Example for addition of variable

If two variables $2s$ and $3s$are being added then then the resulting sum will be $2s+3s=5s$ and if two negative sign variable $-2s,-3s$being added, then the resulting sum will be $-2s-3s=-5s$which is negative as well.

Step-3 –Evaluate the expression

To evaluate the expression we applied the concept of addition of variable.

$\begin{array}{l}5x+2y-4x+y\\ =x+3y.\end{array}$