The equation 5/3x+11/3=−4/3 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.
The solution is as follows:
5/3x + 11/3 = -4/3
Multiply both sides by 3 to eliminate the fractions:
3*(5/3x) + 3*(11/3) = 3*(-4/3)
5x + 11 = -4
Subtract 11 from both sides:
5x + 11 - 11 = -4 - 11
5x = -15
To solve for x, divide both sides by 5:
5x / 5 = -15 / 5
x = -3
To solve the equation 5/3x + 11/3 = -4/3, we can follow the given solution steps:
1. Multiply both sides of the equation by 3 to eliminate the denominators:
(3) * (5/3)x + (3) * (11/3) = (3) * (-4/3)
This simplifies to:
5x + 11 = -4
2. Subtract 11 from both sides of the equation:
5x + 11 - 11 = -4 - 11
This simplifies to:
5x = -15
3. To isolate the variable x, divide both sides of the equation by the coefficient of x, which is 5:
(1/5) * 5x = (-15) * (1/5)
This simplifies to:
x = -3
Therefore, the solution to the given equation is x = -3.
To solve the equation 5/3x + 11/3 = -4/3, you need to follow these steps:
Step 1: Clear the fraction by multiplying every term in the equation by the least common multiple (LCM) of the denominators, which in this case is 3.
3 * (5/3x) + 3 * (11/3) = 3 * (-4/3)
This simplifies to:
5x + 11 = -4
Step 2: Isolate the variable x by subtracting 11 from both sides of the equation:
5x = -4 - 11
5x = -15
Step 3: Solve for x by dividing both sides of the equation by the coefficient of x, which is 5:
x = -15 / 5
x = -3
Therefore, the solution to the equation 5/3x + 11/3 = -4/3 is x = -3.