Step by step:
3 2 1
× 6 4
————————————-
+ 1 2 8 4
+ 1 9 2 6 0
————————————-
= 2 0 5 4 4
Answer:
The given system has INFINITE NUMBER OF SOLUTIONS.
Step-by-step explanation:
Here, the given system of equation is given as:
2 x - 4 y = 12 ... (1)
- x + 2 y = -6 ...... (2)
Now, to use the ELIMINATION METHOD we either need to cancel out x coefficients or the y coefficient.
Now, to cancel out the x- coefficient in both the equations:
Multiply equation (2) with 2 and add with (1), we get:
2 x - 2x + 4 y - 4 y = 12 - 12
or, 0 = 0
Hence, the given system has INFINITE NUMBER OF SOLUTIONS.
The equation of the line in its generic form is:
y = mx + b
Where,
m = (y2-y1) / (x2-x1)
For (-1, 3) and (0, 1):
We look for the value of m:
m = (1-3) / (0 - (- 1))
m = (- 2) / (0 + 1)
m = -2
We look for the value of b:
1 = m (0) + b
b = 1
The line is:
y = -2x + 1
For (1, 4) and (0, 2):
We look for the value of m:
m = (2-4) / (0-1)
m = (- 2) / (- 1)
m = 2
We look for the value of b:
2 = m (0) + b
b = 2
The line is:
y = 2x + 2
The system of equations is:
y = -2x + 1
y = 2x + 2
Answer:
the system has one solution
Answer:
Any side of a triangle must be shorter than the other two sides added together.
Step-by-step explanation: