Question

Factor the expression using the common factor -7. -14x + 21y - 4.9

a) -7(2x - 3y + 0.7)
b) -7(2x + 3y - 0.7)
c) -7(2x - 3y - 0.7)
d) -7(2x + 3y + 0.7)

Answer 1

The expression -14x + 21y - 4.9 is factored using the common factor -7, which results in the answer -7(2x - 3y + 0.7).

Step-by-step explanation:

The expression can be factored by finding a common factor, which is -7. Factoring out -7 gives us the expression -7(2x - 3y + 0.7). Therefore, the correct answer is a) -7(2x - 3y + 0.7).

1. Identify the common factor in all terms of the expression, which is -7.
2. Divide each term by -7: -14x/-7 equals 2x, 21y/-7 equals -3y, and -4.9/-7 equals 0.7.
3. Write the factored expression as -7 times the quotient of each term, giving us -7(2x - 3y + 0.7).