What is the undefined value for the equation 14=7x/9+4x ?(1 point) Responses x≠−49 x does not equal Start Fraction negative 4 over 9 End Fraction x≠−94 x does not equal Start Fraction negative 9 over 4 End Fraction x≠94 x does not equal Start Fraction 9 over 4 End Fraction x≠0
The correct answer is x does not equal -9/4, x does not equal 0.
To find the undefined values for this equation, we need to determine the values for x that would make the denominator zero. In this equation, the denominators are 9 and 4.
Setting each of the denominators equal to zero we have:
9x = 0, which gives x = 0
4x = 0, which gives x = 0
Therefore, x cannot equal 0. Additionally, x cannot equal -9/4 since substituting this value into the equation would make the denominator zero.
So the undefined values for the equation 14 = 7x/9 + 4x are x does not equal -9/4 and x does not equal 0.
To find the undefined value for the equation 14 = (7x/9) + 4x, we need to identify the value of x that would result in division by zero. In this case, division by zero occurs when the denominator of a fraction is zero.
To find the undefined value, we set the denominator equal to zero and solve for x.
The denominator in the equation is (9). Setting it equal to zero:
9 = 0
This equation has no solution, which means that there is no value of x that makes the denominator zero. Therefore, there is no undefined value for the given equation.
So, the answer is x does not have any restrictions or x can be any real number.
To find the undefined value for the equation 14 = (7x/9) + 4x, we need to determine the values of x for which the equation is not defined.
To begin, let's solve the equation step by step:
1. First, we can combine the like terms on the right side of the equation:
14 = (7x/9) + 4x
To make it easier, let's get rid of the fraction by multiplying both sides of the equation by 9:
14 * 9 = 7x + 36x
126 = 7x + 36x
2. Combine the x terms on the right side of the equation:
126 = 43x
3. Divide both sides of the equation by 43 to solve for x:
126/43 = x
x ≈ 2.93 (rounded to two decimal places)
Now we have found the value of x that satisfies the equation. However, there is no undefined value for x in this case. The equation is defined for all real numbers, so none of the given answer choices are correct.
Therefore, the correct response would be: x ≠ 0.