Solve using substitution technique; -3x+y=2, 12x-4y=-8

The first equation is easier to solve for y than is the 2nd: y = 3x+2. Subst. 3x+2 for y in the second equation:

12x - 4(3x+2) = -8

Expanding, 12x =12x -8 = -8

This is always true, no matter the value of x. Thus, the solution set is "all real numbers."

Step-by-step explanation:

There are 32 possible outcomes when you toss a fair coin 5 times. You will always get one of the 32 outcomes. For example to could get 3 heads followed by 2 tails.

Each toss has only 2 outcomes: heads or tails. The way you get 32 is by

2 * 2 * 2 * 2 * 2 = 32.

You must get 1 of the 32 possible outcomes.

1 of them is the one you suggested

1/32 = 0.03125 is the probability that you want.