4x+10=__x+__
To find the missing values, we need to set up an equation using the given expression.
4x + 10 = __x + __
To solve for the missing values, we need to simplify the equation.
Combine the like terms on the right-hand side of the equation:
4x + 10 = __x + __
Since we don't have any information about the missing values, we cannot perform further calculations to find the specific values. The equation remains as is.
Complete the equation so that it has infinite solutions.
4x + 10 = __x + __
To set up an equation with infinite solutions, we need both sides of the equation to be equal no matter the value of x. One way to achieve this is by making the coefficients of x on both sides of the equation the same.
In this case, we can make the equation have infinite solutions if we have:
4x + 10 = 4x + 10
This equation states that no matter what value x takes, the left-hand side will always be equal to the right-hand side. Thus, the equation has infinite solutions.
Complete the equation so that it has no solutions.
5x+12=__x+9
To set up an equation with no solutions, we need to make the coefficients of x on both sides of the equation different. This means that there is no value of x that will satisfy the equation.
In this case, we can complete the equation so that it has no solutions by making the coefficients of x on both sides different. Let's choose different coefficients that are not equal to each other:
5x + 12 = -2x + 9
Wrong
Apologies for the incorrect response.
To set up an equation with no solutions, we need to make the equation contradictory. This can be achieved by making the coefficients of x on both sides of the equation equal but altering the constant terms, so they are not equal.
In this case, we can complete the equation so that it has no solutions as follows:
5x + 12 = 5x + 9
No matter what value x takes, the left-hand side of the equation will never be equal to the right-hand side. Therefore, this equation has no solutions.
-7x-12=__x+12
To set up an equation with no solutions, we need to make the equation contradictory. This can be achieved by making the coefficients of x on both sides of the equation equal but altering the constant terms, so they are not equal.
In this case, we can complete the equation so that it has no solutions as follows:
-7x - 12 = -7x + 12
No matter what value x takes, the left-hand side of the equation will never be equal to the right-hand side. Therefore, this equation has no solutions.
Solve for x to determine if the equation has one, none, or infinite solutions.
6(2x+4)-24=12x
Let's simplify the equation first:
6(2x + 4) - 24 = 12x
Using the distributive property, we get:
12x + 24 - 24 = 12x
Simplifying further, we have:
12x = 12x
Here, the variable is present on both sides of the equation, and these terms are equal. This means that no matter what value x takes, the equation will always hold true. As a result, this equation has infinite solutions.
Solve for x to determine if the equation has one, none, or infinite solutions.
6(2x+4)-24=12x
A. The equation has infinite solutions.
B. The equation had no solution.
C. The equation has no solution:x=-20.
D. The equation has one solution:x=0.
Let's solve the equation step by step:
6(2x + 4) - 24 = 12x
First, distribute 6 to the terms inside the parentheses:
12x + 24 - 24 = 12x
Combine like terms:
12x = 12x
In this case, the variable is present on both sides of the equation, and these terms are equal. This means that no matter what value x takes, the equation will always hold true. Therefore, the correct answer is:
A. The equation has infinite solutions.
Solve for x to determine if the equation has one, none, or infinite solutions.
9 (× + 1) = 3 (5x + 1) - 12
(1 point)
A. The equation has no solution.
B. The equation has one solution: x = 0.
C. The equation has one solution: X = 3.
D. The equation has infinite solutions.
To solve the equation, let's simplify both sides:
9(x + 1) = 3(5x + 1) - 12
First, distribute 9 to the terms inside the parentheses:
9x + 9 = 15x + 3 - 12
Combine like terms:
9x + 9 = 15x - 9
Next, let's isolate the x term on one side of the equation. We can do this by subtracting 15x from both sides and adding 9 to both sides:
9x - 15x = -9 - 9
This simplifies to:
-6x = -18
Now, let's solve for x by dividing both sides by -6:
x = (-18) / (-6)
This further simplifies to:
x = 3
Therefore, the equation has one solution:
C. The equation has one solution: x = 3.