Find the greatest common factor of the terms in the following expression: 6ab + 18a. 6a, 3a, 2a, a

6a

Step-by-step explanation:

You can always choose the largest of the offered answers and see if that fits.

6ab +18a = 6a(b +3)

Your general approach to a problem like this is to ...

Obviously, the only variable factor in the second term is "a". Since that is also a factor in the first term, that is part of the answer.

The constant 6 in the first term is also a factor of 18 in the second term, so it, too, will be part of the answer.

Then, the answer is 6a.

step-by-step explanation:

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{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1