Simplify the algebraic expression by combining like terms. Explain your answer or show your work.

2
x
+
5
y
+
6
x

5
x
+
3
y

8x + 8y

Explanation: The like terms are 2x and 6x, which can be combined to make 8x. The like terms are 5y and 3y, which can be combined to make 8y. Therefore, the simplified expression is 8x + 8y.

S

e
e

h
o
w

a
n
n
o
y
i
n
g

v
e
r
t
i
c
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t
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i
s
?

no

To simplify the algebraic expression by combining like terms, we need to group the terms that have the same variable and combine their coefficients.

Given expression: 2x + 5y + 6x - 5x + 3y

First, let's combine the x terms:
2x + 6x - 5x = (2 + 6 - 5)x = 3x

Next, let's combine the y terms:
5y + 3y = (5 + 3)y = 8y

Now we can write the simplified expression:
3x + 8y

So, the simplified form of the given expression is 3x + 8y.