20+2x/5-x For what value of x is the rational expression below equal to zero?
(20+2x)/(5-x) = 2
20+2x = 2(5-x)
20+2x = 10 - 2x
4x = -10
x = -5/2
n the following expression, n is a rational number:
Which expression below is equivalent to this expression?
A.
B.
C.
D.
To find the value of x that makes the rational expression equal to zero, we need to solve the equation 20 + 2x/5 - x = 0.
First, let's simplify the expression by multiplying both sides of the equation by 5 to clear the fraction:
5(20 + 2x/5 - x) = 5(0)
100 + 2x - 5x = 0
100 - 3x = 0
Next, let's isolate the term with x:
-3x = -100
To solve for x, we divide both sides of the equation by -3:
x = -100 / -3
Finally, we simplify the fraction:
x = 100 / 3
Therefore, the value of x that makes the rational expression equal to zero is x = 100 / 3.
To find the value of x for which the rational expression is equal to zero, we need to solve the equation:
20 + (2x/5) - x = 0
First, let's simplify the equation by combining like terms:
(2x/5 - x) + 20 = 0
To combine the terms with x, we'll need a common denominator. In this case, the common denominator is 5:
(2x - 5x)/5 + 20 = 0
Now, simplify the numerator:
(-3x)/5 + 20 = 0
Next, let's eliminate the fraction by multiplying both sides of the equation by 5:
5 * (-3x)/5 + 5 * 20 = 0
This gives us:
-3x + 100 = 0
Now, let's isolate x by subtracting 100 from both sides:
-3x = -100
Finally, divide both sides of the equation by -3 to solve for x:
x = -100 / -3
The value of x for which the rational expression is equal to zero is x = 100/3, which is approximately 33.33.