Complete the equation so that it has infinite solutions. 5x+12= ---x+9

Answer 1

To make the equation have infinite solutions, the two sides of the equation should be equal.

So, the missing value is 5x+12=5x+9.

Answer 2

Complete the equation so that it has no solution. −7x−12= x+12

Answer 3

To make the equation have no solution, the two sides of the equation should be unequal.

So, the missing value is -7x-12 not equal to x+12.

Answer 4

−7x−12= x+12 Complete the equation so that it has no solution.

Answer 5

To make the equation have no solution, we need to create an inequality that is unsolvable.

We can achieve this by performing the same operation on both sides of the equation. Let's multiply both sides of the equation by -1:

-1(-7x - 12) = -1(x + 12)

This simplifies to:

7x + 12 = -x - 12

Now, let's combine like terms:

7x + x = -12 - 12

8x = -24

To complete the equation so that it has no solution, we can add a contradictory statement. For example:

8x = -24 and x = 3

This creates a contradiction since 8 times 3 does not equal -24. Therefore, the equation -7x - 12 = x + 12 has no solution.