Question

What is the sum of (–2.1x + 3.7) and (5 + 4.9x)?

Answer 1

The sum of the expressions (-2.1x + 3.7) and (5 + 4.9x) is found by combining like terms, which results in the sum being 2.8x + 8.7.

Step-by-step explanation:

The sum of the expressions (-2.1x + 3.7) and (5 + 4.9x) can be found by combining like terms. To do this, you add the coefficients of x terms and then add the constant terms separately. The x terms are -2.1x and +4.9x, and the constant terms are +3.7 and +5.

First, combine the x terms:

• -2.1x + 4.9x = 2.8x

Next, combine the constant terms:

• 3.7 + 5 = 8.7

Therefore, the sum of the two expressions is 2.8x + 8.7.

Answer 2

It's easier to work with problems such as –2.1x + 3.7 -5 + 4.9x when we rearrange the like terms vertically:

–2.1x + 3.7 -5 + 4.9x

becomes

–2.1x + 3.7

+4.9x -5

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2.8x - 1.3 (answer)