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the equations y = –3x + 4 and 3y = –9x + 12 have infinitely many solutions. option B is correct.
<h3>What is the linear system?</h3>It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.
Condition for the parallel lines.
L1, ax + bx + c = 0
L2, dx + ey + f = 0
If then lines have infinitely many solutions.
y = –3x + 4 and 3y = –9x + 12
On comparing we have
a = -3 , b = 1, and c = 4
d = -9 , e = 3, and f = 12
Then their ratio will be
Hence y = –3x + 4 and 3y = –9x + 12 have infinitely many solutions.
Thus the option B is correct.
More about the linear system link is given below.
Given :
A boat is located a sea level. A scuba diver is 80 feet along the surface of the water from the boat and 30 feet below the water surface.
A fish is 20 feet along the horizontal plane from the scuba diver and 10 feet below the scuba diver.
To Find :
The slope between the scuba diver and fish.
Solution :
Horizontal distance between diver and fish is 20 feet.
Fish is 10 feet below the scuba diver.
Slope between scuba diver and fish is :
Therefore, the slope between the scuba diver and fish is 0.5 .