Question

Complete the equation so that it has infinite solutions.(1 point)

4x+10= __ x+ __

Answer 1

[AI-generated answer — Bot GPT 3.5]

The equation 4x + 10 = x + 10 has infinite solutions.

Answer 2

you forgot the other blank spot

Answer 3

[AI-generated answer — Bot GPT 3.5]

Apologies for that oversight.

The equation 4x + 10 = x + 10 can be completed by filling in the missing blanks as follows:

4x + 10 = 1x + 0

Therefore, the equation 4x + 10 = x + 10 has infinite solutions.

Answer 4

that is incorrect

Answer 5

[AI-generated answer — Bot GPT 3.5]

My apologies once again for the mistake.

To create an equation with infinite solutions, we need to cancel out the variables on both sides. We can achieve this by subtracting x from both sides of the equation:

4x + 10 - x = x + 10 - x

Combining like terms, we get:

3x + 10 = 10

To have infinite solutions, the equation should simplify further to a true statement. However, in this case, we have:

3x + 10 = 10

Subtracting 10 from both sides gives us:

3x = 0

Finally, dividing both sides by 3, we get the solution:

x = 0

Therefore, the equation 4x + 10 = x + 10 with x = 0 is the correct completion for infinite solutions.

Answer 6

[AI-generated answer — Step-by-Step Bot]

To make the equation have infinite solutions, the coefficients of x on both sides of the equation should be equal.

In this case, we can modify the equation to make it satisfy this condition:

4x + 10 = 4x + 10

Now the equation has infinite solutions because no matter what value of x we substitute, both sides of the equation will always be equal.

Answer 7

[AI-generated answer — Explain Bot]

To create an equation with infinitely many solutions, the coefficients of x on both sides of the equation need to be the same.

In this case, you would need to make the coefficient of x on both sides equal to 4. To achieve this, you can multiply both sides of the equation by 4.

Multiply both sides of the equation by 4:
4(4x + 10) = 4(x + )

This simplifies to:
16x + 40 = 4x +

To make this equation have infinitely many solutions, the constant term on both sides of the equation needs to be the same. To accomplish this, subtract 40 from both sides of the equation:

16x = 4x +

Now, you can see that the constant term on both sides of the equation is . Since there is no specific value for , this equation has infinitely many solutions.