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1. What is the sum of [tex]\(-2x + 7x + 1\)[/tex] and [tex]\(-3x - 7\)[/tex]?

Sagot :

To determine the sum of the expressions [tex]\(-2x + 7x + 1\)[/tex] and [tex]\(-3x - 7\)[/tex], follow these steps:

1. Combine the Like Terms:

First, let's identify the like terms in each expression. The like terms are the terms that contain the variable [tex]\(x\)[/tex]:

[tex]\[ -2x + 7x \quad \text{and} \quad -3x \][/tex]

Now, combine these like terms:
[tex]\[ (-2x + 7x) + (-3x) = (5x) + (-3x) = 5x - 3x = 2x \][/tex]

2. Combine the Constants:

Next, look at the constant terms from the expressions [tex]\(1\)[/tex] and [tex]\(-7\)[/tex]:

[tex]\[ +1 \quad \text{and} \quad -7 \][/tex]

Combining these constants:
[tex]\[ 1 - 7 = -6 \][/tex]

3. Construct the Final Expression:

After combining the like terms and the constants, we can now construct the final expression:
[tex]\[ 2x - 6 \][/tex]

So, the sum of [tex]\(-2x + 7x + 1\)[/tex] and [tex]\(-3x - 7\)[/tex] is:

[tex]\[ 2x - 6 \][/tex]
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