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Simplify the expression:
[tex]\[ 4x + 2y + 3x + 5y \][/tex]

Sagot :

GinnyAnsweridn
Certainly! Let's simplify the given algebraic expression step-by-step.

The given expression is:

[tex]\[4x + 2y + 3x + 5y\][/tex]

Step 1: Identify and group like terms.

The terms involving [tex]\(x\)[/tex] are [tex]\(4x\)[/tex] and [tex]\(3x\)[/tex].
The terms involving [tex]\(y\)[/tex] are [tex]\(2y\)[/tex] and [tex]\(5y\)[/tex].

Step 2: Combine the coefficients of the like terms.

For the terms involving [tex]\(x\)[/tex]:
[tex]\[4x + 3x\][/tex]

Add the coefficients (4 and 3):
[tex]\[4x + 3x = 7x\][/tex]

For the terms involving [tex]\(y\)[/tex]:
[tex]\[2y + 5y\][/tex]

Add the coefficients (2 and 5):
[tex]\[2y + 5y = 7y\][/tex]

Step 3: Write down the simplified expression by combining the results from the previous steps.

Thus, the simplified algebraic expression is:
[tex]\[7x + 7y\][/tex]

So, the final simplified expression for [tex]\(4x + 2y + 3x + 5y\)[/tex] is:
[tex]\[7x + 7y\][/tex]
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