Simplify 13x+4y-(6x-3y): Combining Like Terms in Algebraic Expressions

Question

$13x+4y-(6x-3y)=\text{?}$

00:00 Solve

00:03 Note, when multiplying negative by positive, the result is always negative:

00:11 Note, when multiplying negative by negative, the result is always positive

00:18 Let's group factors

00:29 And this is the solution to the question

To begin with we address the parenthesis:

Remember that:

When we multiply a positive number by a negative number, the result will be negative.

When we multiply a negative number by a negative number, the result will be positive.

Thus we obtain the following:

$13x+4y-6x+3y=$

We then join the x coefficients:

$13x-6x=7x$

We join the y coefficients:

$4y+3y=7y$

Lastly we obtain:

$7x+7y$

$7x+7y$