What value makes the equation −5 = 4 − (3x/4−3x) undefined?(1 point)
Responses
3/4
Start Fraction 3 over 4 End Fraction
−4/3
negative Start Fraction 4 over 3 End Fraction
−3/4
negative Start Fraction 3 over 4 End Fraction
4/3
Start Fraction 4 over 3 End Fraction
The value that makes the equation undefined is -3/4 (negative Start Fraction 3 over 4 End Fraction).
To find the value that makes the equation undefined, we need to look for any values that would result in a division by zero. In the given equation, there is a division by (3x/4 - 3x).
To find the value that makes the divisor equal to zero, we can set this expression equal to zero and solve for x:
3x/4 - 3x = 0
First, we need to find a common denominator for the two terms. The common denominator for 4 and 1 is 4, so we can rewrite the equation as:
(3x - 12x)/4 = 0
Combining like terms, we get:
-9x/4 = 0
To solve for x, we can multiply both sides of the equation by 4 to get rid of the fraction:
-9x = 0
Dividing both sides by -9, we find:
x = 0
Therefore, the value of x that makes the equation undefined is x = 0.