Question

Identify whether each of the following equations has a unique solution, no solution, or infinitely many solutions. 3x+5=-2, 6(x-11)= 15-4x

Answer 1

1_
$3x + 5 = - 2 \\ 3x = - 5 - 2 = 7 \\ x = \frac{7}{3}$
2_
$6(x - 11) = 15 - 4x \\ 6x - 66 = 15 - 4x \\ 6x + 4x = 15 + 66\\ 10x = 81 \: \: \: \: \: x = \frac{81}{10}$