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svp [43]
3 years ago
5

Which equations have infinitely many solutions?

Mathematics
1 answer:
igomit [66]3 years ago
8 0

Answer:

4(x - 1) = 4x - 4

3x + 6 = 3(x + 2)

Step-by-step explanation:

The first equation is

5x - 1 = 5x + 1

We simplify to get;

- 1 = 1

This is not true, therefore this equation has no solution.

The second equation is

3x - 1 = 1 - 3x

Combine like terms:

3x + 3x = 1 + 1

6x = 2

x =  \frac{1}{3}

This has a unique solution.

The 3rd equation is

7x - 2 = 2x - 7

Group similar terms:

7x - 2x =  7 + 2 \\ 5x = 9 \\ x  =  \frac{9}{5}

The 4th equation is :

4(x - 1) = 4x - 4

4x - 4= 4x - 4 \\ x = x

This is always true. The equation has infinite solution.

The 5th equation is:

3x + 6 = 3(x + 2) \\ 3x + 6 = 3x + 6 \\ x = x

This also has infinite solution

The 6th equation is

3(x - 4) = 4(x - 3) \\ 3x - 12 = 4x - 12 \\ 3x - 4x =  - 12 + 12 \\ x = 0

It has a unique solution.

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An equation is an expression that shows the relationship between two or more numbers and variables.

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For point (3, 4):

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2 years ago
TechWiz Electronics makes a profit of $35 for each MP3 player sold and $18 for each DVD player sold. Last week, TechWiz sold a c
Svetllana [295]

Let x be the number of MP3 players TechWiz sold last week.

If TechWiz sold in total 130 MP3 and DVD players, then it sold (130-x) DVD players.

1. TechWiz Electronics makes a profit of $35 for each MP3 player sold, then it makes a profit $35x for x MP3 players sold.

2. TechWiz Electronics makes a profit of  $18 for each DVD player sold , then it makes a profit $18(130-x) for (130-x) DVD players sold.

3. An expression for the combined total profit (in dollars) TechWiz made from MP3 and DVD players last week is

35x+18(130-x).

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