Determine whether the equation is always, sometimes, or never true.
9. 6(x + 1) = 2(5 + 3x)
10. 3(y + 3) + 5y = 4(2y + 1) + 5

Show Work

Respuesta :

9514 1404 393

Answer:

  9. never

  10. always

Step-by-step explanation:

First steps are always removal of parentheses and collecting terms.

The there are identical expressions on either side of the equal sign, the equation is always true.

If the variable coefficients are the same, but the constants are different, the equation is never true.

If the variable coefficients are different, the equation is sometimes true. (true for a specific value of the variable).

__

9. 6(x +1) = 2(5 +3x) . . . given

  6x +6 = 10 +6x . . . Never true

__

10. 3(y +3) +5y = 4(2y +1) +5 . . . given

  3y +9 +5y = 8y +4 + 5 . . . eliminate parentheses

  8y +9 = 8y +9 . . . Always true