The equation 5/3x+11/3=−4/3 is solved as follows. Fill in the correct numbers to complete the solution.(1 point)
This is only for this question.
1. 5/3x= -5
2. x = -3
The equation 53x+113=−43 is solved as follows. Fill in the correct numbers to complete the solution.(1 point)
53x+113=−43
53x=
Subtract 113 from both sides.
x=
Multiply both sides by 35, the reciprocal of 53.
To solve the equation 5/3x + 11/3 = -4/3, we can follow these steps:
Step 1: Subtract 11/3 from both sides of the equation to isolate the term with x:
5/3x + 11/3 - 11/3 = -4/3 - 11/3
5/3x = -15/3
Step 2: Simplify the expression -15/3 by dividing both the numerator and denominator by 3:
5/3x = -5
Step 3: Multiply both sides of the equation by the reciprocal of 5/3, which is 3/5, to solve for x:
(3/5)(5/3x) = (3/5)(-5)
1x = -3/5
So, the solution to the equation 5/3x + 11/3 = -4/3 is x = -3/5.
To solve the equation 5/3x + 11/3 = -4/3, you need to isolate the variable x on one side of the equation.
Step 1: Subtract 11/3 from both sides of the equation:
5/3x + 11/3 - 11/3 = -4/3 - 11/3
5/3x = -15/3
Step 2: Simplify the equation:
5/3x = -5
Step 3: Multiply both sides of the equation by the reciprocal of 5/3, which is 3/5:
3/5 * (5/3x) = 3/5 * (-5)
x = -9
Therefore, the solution to the equation 5/3x + 11/3 = -4/3 is x = -9.
To solve the equation 5/3x + 11/3 = -4/3, we can start by subtracting 11/3 from both sides to isolate the term with x:
5/3x + 11/3 - 11/3 = -4/3 - 11/3
This simplifies to:
5/3x = -15/3
Now, we can multiply both sides of the equation by the reciprocal of 5/3, which is 3/5, to solve for x:
(3/5)(5/3x) = (3/5)(-15/3)
The 3/5 on the left side of the equation cancels out with the 5/3 on the right side, leaving us with:
x = -9/5