Complete the equation so that it has infinite Solutions 4x + 10 = _x +_

11 answers

4x + 10 = 4x + 10
5x + 12 = _x + 9
5x + 12 = 5x + 12
-7 - 12 = _x + 12
-7 - 12 = -7 - 12
Solve for x to determine if the equation has one, none, or infinite solutions.

6(2x + 4 ) - 24 = 12x
Let's solve the equation to determine if it has one, none, or infinite solutions:

6(2x + 4) - 24 = 12x
Distribute 6:
12x + 24 - 24 = 12x
12x = 12x

Subtract 12x from both sides:
12x - 12x = 0
0 = 0

Since the equation simplifies to 0 = 0, this implies that any value of x would satisfy the equation. Therefore, this equation has infinite solutions.
Let's solve for x to determine if the equation has one, none, or infinite solutions:
9(x + 1) = 3(5x + 1) - 12
Let's solve the equation to determine if it has one, none, or infinite solutions:

9(x + 1) = 3(5x + 1) - 12
Distribute on both sides:
9x + 9 = 15x + 3 - 12
9x + 9 = 15x - 9

Move all the x terms to one side:
9 + 9 = 15x - 9x
18 = 6x
Divide by 6:
x = 3

After solving the equation, we find that x = 3. Therefore, this equation has only one solution, which is x = 3.
Which one of the following is an example of an equation with no solution?

3x + 4 = 4x + 3
3x + 4 = 3x + 4
3x + 4 = 3x + 3
4x + 3 = 3x + 3
The equation that is an example of an equation with no solution is:

3x + 4 = 4x + 3

This equation leads to a contradiction and does not have a solution because the x-terms cannot be made equal by adjusting the constants.
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