Question

Question

Factor the expression using the common factor −7 .

−14x+21y−4.9

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Answer 1

The expression −14x + 21y − 4.9 is factored using the common factor −7 by converting −4.9 to −7 × 0.7 and then pulling out the −7, resulting in −7(2x − 3y + 0.7).

Step-by-step explanation:

To factor the expression −14x + 21y − 4.9 using the common factor −7, first we identify the terms in the expression that are divisible by −7.

Looking at the expression, we can see that −14x and 21y are divisible by −7, but −4.9 is not.

To make −4.9 divisible by −7, we must convert it to a fraction, which is −4.9 = −27 \times 0.7.

Now, we can factor out the −7.

Factored expression: −7(2x − 3y + 0.7)

Steps:

1. Identify terms divisible by −7: −14x and 21y.
2. Convert non-divisible term to fraction: −4.9 = −27 \times 0.7.
3. Factor out the −7: −7(2x − 3y + 0.7).

It is important to eliminate terms wherever possible to simplify the algebra and then check the answer to see if it is reasonable.