Complete the equation so that it has no solution.(1 point)

Question

5x+12=

x+9

Answer 1

To create an equation with no solution, we want to make sure the equation is contradictory. We can do this by setting the coefficients of x in the equation to be different.

To achieve this, we can multiply both sides of the equation by different numbers. Let's multiply the first equation by 2 and the second equation by 5:

2(5x + 12) = 5(x + 9)

Now, we can simplify both sides:

10x + 24 = 5x + 45

Subtracting 5x from both sides:

5x + 24 = 45

Subtracting 24 from both sides:

5x = 21

Dividing both sides by 5:

x = 4.2

So the complete equation with no solution is:

10x + 24 = 5(x + 9)

Answer 2

Complete the equation so that it has no solution.(1 point)
−7x−12=

x+12

Answer 3

To create an equation with no solution, we want to make sure the equation is contradictory. We can do this by setting the coefficients of x in the equation to be the same, but the constant terms on each side of the equation different.

To achieve this, we can multiply the second equation by -7:

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

Now, we can simplify both sides:

49x + 84 = -7x - 84

Adding 7x to both sides:

56x + 84 = -84

Subtracting 84 from both sides:

56x = -168

Dividing both sides by 56:

x = -3

So the complete equation with no solution is:

-7x - 12 = x + 12