Complete the equation so that it has no solution.(1 point)
−7x−12= __ x+12
5x + 12 =
ANSWER-
5x + 9
-7x - 12 =
ANSWER-
-7x + 12
that isnt the right answer is there any other answers.that isnt the right answer is there any other answers.
−7x−12= __ x+12
what is x
that isnt the right answer
Since we want the equation to have no solution, we need the variables to cancel out. To achieve this, we need the same coefficient for both x terms. Multiplying the equation by -1 gives:
-(-7x-12) = -(-x+12)
7x+12 = x-12
Now, we can subtract x from both sides of the equation:
7x-x+12 = -12
6x+12 = -12
Subtracting 12 from both sides gives:
6x = -24
Dividing both sides by 6 gives:
x = -4
However, since we multiplied the original equation by -1, we need to check if the solution x = -4 also satisfies the original equation:
-7(-4) - 12 = -(-4) + 12
28 - 12 = 4 + 12
16 = 16
Since both sides of the equation are equal, the solution x = -4 satisfies the original equation. Therefore, there is no way to complete the equation so that it has no solution.
Apologies for the confusion.
To make the equation have no solution, we need it to be inconsistent. This means that the equation should have contradictory statements.
Let's continue with the equation: -7x - 12 = __ x + 12
First, we can simplify both sides of the equation by removing the parentheses:
-7x - 12 = x + 12
Next, let's subtract x from both sides to eliminate the x term on the right side:
-8x - 12 = 12
Now, we need to isolate the variable x by getting rid of the constant term on the left side. We can do this by adding 12 to both sides:
-8x - 12 + 12 = 12 + 12
-8x = 24
Finally, we divide both sides of the equation by -8 to solve for x:
-8x / -8 = 24 / -8
x = -3
Therefore, regardless of the constant on the right side, in this case, there is no way to complete the equation so that it has no solution. The solution to the equation is x = -3.
To find the value of x, let's solve the equation step by step:
Starting with the equation: −7x−12 = __ x+12
Let's simplify the equation by removing the parentheses:
-7x - 12 = x + 12
Next, let's combine like terms by bringing all the x terms to one side of the equation and the constant terms to the other side:
-7x - x = 12 + 12
Simplifying further:
-8x = 24
To isolate x, we divide both sides of the equation by -8:
-8x / -8 = 24 / -8
This simplifies to:
x = -3
Therefore, the value of x that solves the equation is x = -3.
Apologies for the confusion.
Let's go through the equation step by step:
Starting with the equation: −7x−12 = __ x+12
To make the equation have no solution, we need it to be inconsistent. This means that the equation should have contradictory statements.
Let's simplify the equation by removing the parentheses:
-7x - 12 = x + 12
Combining like terms, we can add 7x to both sides to eliminate the x term on the left side:
-7x + 7x - 12 = x + 7x + 12
-12 = 8x + 12
Now, let's isolate the variable x by subtracting 12 from both sides:
-12 - 12 = 8x + 12 - 12
-24 = 8x
Finally, we divide both sides of the equation by 8 to solve for x:
-24 / 8 = 8x / 8
-3 = x
Therefore, the value of x that makes the equation have no solution is x = -3.