Question

Algebra Question

Answer 1

If 7(a + b) - 4(a + b) = 24, what is the value of a + b?

Answer 2

there are so many ways to solve this but for some reason after simplifying i can't seem to figure it out

Answer 3

I reached the point 7a + 7b - 4a+ 4b = 24 and have no gone any further because i don't know how to do what next

Answer 4

What are your options? @kevinhunterwood69

Answer 5

its a grid-in question haha

Answer 6

my options for solving it are cancelling a + b or just algebra but ya i'm puzzled

Answer 7

combine the like terms, then you should be able to factor

Answer 8

actually, it looks like you distributed wrong

Answer 9

how?

Answer 10

-4(a + b) = -4a - 4b, so the equation is

7a + 7b - 4a+ 4b = 24

Answer 11

oh ya

Answer 12

-4(a + b) = -4a - 4b, so the equation is
7a + 7b - 4a- 4b = 24

Answer 13

posted the same thing you had originally :/

Answer 14

yeah

Answer 15

then combine

Answer 16

so 3a - 3b = 24

Answer 17

how do i um factor thi

Answer 18

3a + 3b = 24
then 3 is your common factor, so
3(a + b) = 24

Answer 19

ahh um

Answer 20

so a & b are both 4 but how do i reach that through algebra?

Answer 21

you don't have enough information to find a and b individually. They could both be 4, or a could be -26 and b could be 30. that's why they asked for the sum

Answer 22

fwiw, since they asked for a+b, and they already had them grouped, you could have considered it one variable and cut out the distribution/factoring

Answer 23

alright thanks

Answer 24

no problem