We want to use a matrix to solve
-8x - 8y = -16
6x - 9y = -108
Before solving, simplify the equations as follows:
Divide the first equation by -8 to obtain
x + y = 2 (1)
Divide the second equation by 3 to obtain
2x - 3y = -36 (2)
In matrix form, the equations are

The determinant of the matrix is
D = (1)(-3) - (1)(2) = -5
Use Cramer's Rule.

Similalrly,

Answer: (-6, 8) or x = -6, y = 8
3(n + 5) ≥ 3n + 8
3n + 15 ≥ 3n + 8
3n - 3n ≥ 8 - 15
0 ≥ -7
Therefore, the solution to the inequality is all real numbers.
Answer:
The missing number is either 1 or 2.
1/6 and 2/6 are both less than 1/2.
$62 total food amount
6% tax
20% of original cost of food for tip
62x0.06= 3.72
62x0.2= 12.4
62+12.4+3.72= $78.12
the total cost of the group is $78.12
Answer: A
Step-by-step explanation:
The sum to infinity of a geometric series is
S (∞ ) = \frac{a}{1-r} ( - 1 < r < 1 )
where a is the first term 8 and r is the common ratio, hence
S(∞ ) = {8}{1-\{1}{2} } = {8}{1}{2} } = 16