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Gwar [14]
3 years ago
5

Which of the following equations have exactly

Mathematics
1 answer:
Anestetic [448]3 years ago
6 0

Answer:

<em>-5x + 12 = –12x – 12</em>

<em>-5x + 12 = 5x + 12</em>

<em>-5x + 12 = 5x – 5</em>

Step-by-step explanation:

<u>First degree equations</u>

A first degree equation has the form

ax + b = 0

There are some special cases where the equation can have one, infinitely many or no solution

If a\neq 0, the equation has exactly one solution

If a=0 and b=0 the equation has infinitely many solutions, because it doesn't matter the value of x, it will always be true that 0=0

If a=0 and b\neq 0 the equation has no solution, because it will be equivalent to b=0 and we are saying it's not true. No matter what x is, it's a false statement.

We have been given some equations, we only need to put them in standard form

-5x + 12 = –12x – 12

Rearranging

7x + 24 = 0

It has exactly one solution because a is not zero

.......................

-5x + 12 = 5x + 12

Rearranging

-10x + 0 = 0

It has exactly one solution because a is not zero

.......................

-5x + 12 = 5x – 5

Rearranging

-10x + 17 = 0

It has exactly one solution because a is not zero

.......................

-5x + 12 = -5x – 12

Rearranging

0x + 24 = 0

It has no solution, no matter what the value of x is, it's impossible that 24=0

Answer: These are the equations with exactly one solution

-5x + 12 = –12x – 12

-5x + 12 = 5x + 12

-5x + 12 = 5x – 5

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