Two times Antonio’s age plus three times Sarah’s age equals 34. Sarah’s age is also five times Antonios age. How old is Sarah?

Sarah is 10 years old

Step-by-step explanation:

  2A + 3S = 34                      (S = 5A) x -3      -3S = -15A     -3S + 15A =0      

+ 15A - 3S =0        Add both equations together

17A = 34

A = 2       Plug 2 in for A in the first equation

2(2) + 3S = 34

4 + 3S = 34

-4            -4

3S = 30

S = 10              If this answer is correct, please make me Brainliest!

hello from mrbilldoesmath!

answer:   (7x + 6y) ( 49x^2 - 42xy + 36y^2)

discussion:

in general, the factorization of a^3 + b^3 is

a^3 + b^ 3 = (a + b) ( a^2 - ab + b^2)

in our case note that 343 = 7^3 and 216 = 6^3 so the equation becomes:

343x^3 + 216y^3 = (7x)^3 + (6y)^3

if you think of a (above) as 7x and b as 6y the factorization becomes

343x^3 + 216y^3 =

((7x + 6y) (   (7x)^2 - 7x*6y + (6y)^2)   =

(7x + 6y) ( 49x^2 - 42xy + 36y^2)

you,

mrb

(a + b) (a^2 - a b + b^2)