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Which expression is equivalent to [tex][tex]$9x - 3y - 5x + 7y + x + y$[/tex][/tex]?

A. [tex]5x + 5y[/tex]

B. [tex]4x + 4y[/tex]

C. [tex]10xy[/tex]

D. [tex]5x^2 + 4y^2[/tex]

Sagot :

GinnyAnsweridn
To determine which expression is equivalent to [tex]\(9x - 3y - 5x + 7y + x + y\)[/tex], let's simplify the given expression step-by-step.

1. Combine like terms:

First, collect all the [tex]\(x\)[/tex] terms together and all the [tex]\(y\)[/tex] terms together.

[tex]\[ (9x - 5x + x) + (-3y + 7y + y) \][/tex]

2. Simplify the [tex]\(x\)[/tex] terms:

[tex]\[ 9x - 5x + x = (9 - 5 + 1)x = 5x \][/tex]

3. Simplify the [tex]\(y\)[/tex] terms:

[tex]\[ -3y + 7y + y = (-3 + 7 + 1)y = 5y \][/tex]

4. Combine the simplified terms:

[tex]\[ 5x + 5y \][/tex]

Therefore, the expression equivalent to [tex]\(9x - 3y - 5x + 7y + x + y\)[/tex] is:

[tex]\[ 5x + 5y \][/tex]

So, the correct answer is:
A) [tex]\(5 x + 5 y\)[/tex]
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