Question

How do you simplify $\left( 5x+3y \right)+\left( 8x-7y \right)$?

Answer 1

Hint: To solve the given expression first we will remove the brackets and write the terms as given. Then we will add or subtract the like terms according to the operation given in the equation to get the simplified form of the given equation.

Complete step by step solution:
We have been given an expression $\left( 5x+3y \right)+\left( 8x-7y \right)$.
We have to solve the given expression.
Now, first we have to remove the brackets given in the question. So we will write the terms without brackets. We write the terms as it is because there is an additional sign given between two brackets. Then we will get
$\Rightarrow 5x+3y+8x-7y$
Now, grouping the like terms together we will get
$\Rightarrow 5x+8x+3y-7y$
Now, simplifying the above obtained equation we will get
$\Rightarrow 13x-4y$
Hence above is the required simplified form of the given expression.

Note: Here in this particular question when we open the brackets we did not change the signs of the terms because there is a plus sign given between two parentheses. If minus sign given instead of plus sign then we have to change the signs of the terms inside the parenthesis. The point to be remembered is that when we simplify the given operations we have to add or subtract the terms with the same variables. So be careful while solving such types of questions.