Complete the equation so that it has no solution.(1 point)
5x+12= ???
x+9
3 answers
-7
wrong
Apologies for the incorrect response. Here's the correct answer:
To make the equation have no solution, we need to ensure that there is no possible value of x that satisfies the equation. This means that whatever value we choose for x, the equation will always be false.
To achieve this, we can simply change the equation to be contradictory. In other words, we need to make both sides of the equation equal to different values.
An example of an equation with no solution is:
5x + 12 = x + 9 - 2x
Simplifying the equation, we have:
5x + 12 = -x + 9
To solve for x, let's gather like terms:
5x + x = 9 - 12
6x = -3
Dividing both sides by 6, we get:
x = -3/6
Simplifying further, we have:
x = -1/2
So, the equation 5x + 12 = x + 9 - 2x has no solution when x = -1/2.
To make the equation have no solution, we need to ensure that there is no possible value of x that satisfies the equation. This means that whatever value we choose for x, the equation will always be false.
To achieve this, we can simply change the equation to be contradictory. In other words, we need to make both sides of the equation equal to different values.
An example of an equation with no solution is:
5x + 12 = x + 9 - 2x
Simplifying the equation, we have:
5x + 12 = -x + 9
To solve for x, let's gather like terms:
5x + x = 9 - 12
6x = -3
Dividing both sides by 6, we get:
x = -3/6
Simplifying further, we have:
x = -1/2
So, the equation 5x + 12 = x + 9 - 2x has no solution when x = -1/2.
1 answer