The equation 5/3x+11/3=−4/3 is solved as follows. Fill in the correct numbers to complete the solution.
(1 point) 5/3x+11/3=−4/3 53x= Subtract 11/3 from both sides. x= Multiply both sides by 3/5, the reciprocal of 5/3.
5/3x + 11/3 = -4/3
53x = -4/3 - 11/3
53x = -15/3
x = (-15/3) * (3/5)
x = -45/15
x = -3/1
x = -3
To solve the equation 5/3x + 11/3 = -4/3, follow these steps:
Step 1: Start with the equation 5/3x + 11/3 = -4/3.
Step 2: Subtract 11/3 from both sides of the equation:
5/3x = -4/3 - 11/3
Step 3: Simplify the right-hand side of the equation:
5/3x = -15/3
Step 4: Multiply both sides of the equation by the reciprocal of 5/3, which is 3/5:
(3/5)(5/3)x = (3/5)(-15/3)
1x = -9/5
Therefore, the solution to the equation 5/3x + 11/3 = -4/3 is x = -9/5.
To solve the equation 5/3x + 11/3 = -4/3, the solution provided is as follows:
Step 1: Start with the given equation:
5/3x + 11/3 = -4/3
Step 2: Subtract 11/3 from both sides to isolate the variable term:
5/3x = -4/3 - 11/3
Step 3: Combine the fractions on the right side:
5/3x = -15/3
Step 4: Simplify the fraction on the right side:
5/3x = -5
Step 5: To solve for x, we need to isolate it by getting rid of the fraction coefficient. To do this, we'll multiply both sides of the equation by the reciprocal of 5/3, which is 3/5:
(5/3x) * (3/5) = -5 * (3/5)
Step 6: Simplify both sides of the equation:
(15/15)x = -15/5
Step 7: Simplify the fraction on the left side:
x = -3
Therefore, the solution to the equation 5/3x + 11/3 = -4/3 is x = -3.