Question

1/2g-4=2g-1/2g+4


does it have one solution or infinitely many solutions ? Why ?

Answer 1

Answer: One solution

Step-by-step explanation:

2g - (1/2)g = (4/2)g - (1/2)g = (3/2)g

The original equation becomes (1/2)g-4 = (3/2)g+4

The slopes are 1/2 and 3/2 respectively. Since the slopes are different, the two lines cannot be parallel.

Since we don't have parallel lines, they intersect at exactly one point leading to exactly one solution.

Answer 2

the first one- one solution

the second one- infinitely many solutions

Step-by-step explanation:

• 1/2g-4=2g-1/2g+4
• 2g-1/2g-1/2g= -4-4
• g= -8

One solution as one intersection point

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• -2.1b + 5.3 = b- 3.1b +5.3
• -2.1b + 5.3 = -2.1b + 5.3

considering this equation as lines, these are two overlapping lines, so there are infinitely many solutions