Answer: When a system of two linear equations gives an answer of
, there are infinitely many solutions. It also means that the graph represents parallel lines, so the answer is the third choice.
Step-by-step explanation: When it comes to systems of equations in algebra, you will see three types of solutions:
1. When you get an exact value & number for x and y, the system has <u>one solution</u> and is consistent/independent.
2. When you get
like in this case, the system has <u>infinitely many solutions</u> and is consistent/dependent.
3. When you get numbers that are not equal, for example,
, you have <u>many solutions</u> and the system is inconsistent/independent.
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
Answer:
8
Step-by-step explanation:
1. 1/4 × 2/2 = 2/8 (denominator is 8)
2. 5/8 × 1 = 5/8 (denominator is 8)
Therefore, the common denominator is 8.
|16| , | -15| , |-14|, |13|
I hope this helps you
1)
a) 18/50
b) 6.1/3=2
c) 9/2.8/3=3.4=12
2)
1 1/2=1.2+1/2=3/2
3 3/4=3.4+3/4=15/4
if we can 12 muffins with 3/2 cups
how many muffins with 15/4
?.3/2=12.15/4
?=30 muffins