Question

Solve for x to determine if the equation has one, none, or infinite solutions.
4x=3(x+5)−15 (1 point)
Responses

The equation has no solution.

The equation has infinite solutions.

The equation has one solution: x=0.

The equation has one solution: x=−10

Answer 1

Solve for x to determine if the equation has one, none, or infinite solutions.
5(2x+2)−7x=3x+6 (1 point)
Responses

The equation has no solution.

The equation has infinite solutions.

The equation has one solution: x=10.

The equation has one solution: x=6.

Answer 2

To solve the equation, we will first simplify both sides:

4x = 3(x + 5) - 15

Start by distributing 3 to both terms inside the parentheses:

4x = 3x + 15 - 15

Combine like terms:

4x = 3x

Now, subtract 3x from both sides:

4x - 3x = 3x - 3x

x = 0

Therefore, the equation has one solution: x = 0

Answer 3

To solve the equation, we will first simplify both sides:

5(2x + 2) - 7x = 3x + 6

Start by distributing 5 to both terms inside the parentheses:

10x + 10 - 7x = 3x + 6

Combine like terms:

3x + 10 = 3x + 6

Next, subtract 3x from both sides:

3x - 3x + 10 = 3x - 3x + 6

10 = 6

Since 10 does not equal 6, this equation has no solutions. Therefore, the correct response is:

The equation has no solution.