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
5/3x=
Subtract 11/3 from both sides.
x=
Multiply both sides by 3/5, the reciprocal of 5/3.
To solve the equation, we can follow these steps:
1. Start with the equation 5/3x + 11/3 = -4/3.
2. To isolate the term with x, subtract 11/3 from both sides:
5/3x = -4/3 - 11/3
5/3 x = -15/3
3. Simplify the right side of the equation:
5/3 x = -5
4. To solve for x, multiply both sides by the reciprocal of 5/3, which is 3/5:
(3/5) * (5/3) x = - 5 * (3/5)
The fractions on the left side cancel out, leaving us with:
x = - 15/5
5. Simplifying the right side gives us the final solution:
x = -3
To solve the equation 5/3x + 11/3 = -4/3, we can follow these steps:
1. Start with the given equation: 5/3x + 11/3 = -4/3.
2. To isolate the term with x, we need to get rid of the constant term on the left side. Subtract 11/3 from both sides of the equation:
(5/3)x + (11/3) - (11/3) = (-4/3) - (11/3).
Simplifying the left side gives: (5/3)x = (-4/3) - (11/3).
3. Combine the fractions on the right side: (-4/3) - (11/3) = -15/3.
We now have: (5/3)x = -15/3.
4. To eliminate the fraction coefficient, 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).
Simplifying gives: (1)x = -45/15.
We have: x = -45/15.
5. Simplifying x, we can divide both the numerator and denominator of -45/15 by the greatest common divisor (GCD), which is 15:
x = (-45/15)/(15/15).
Simplifying the right side gives: x = -3/1.
Therefore, the solution to the equation 5/3x + 11/3 = -4/3 is x = -3/1 or simply x = -3.
To solve the equation 5/3x + 11/3 = -4/3, you need to isolate the variable x.
The first step is to subtract 11/3 from both sides of the equation:
5/3x + 11/3 - 11/3 = -4/3 - 11/3
This simplifies to:
5/3x = -15/3
Next, you need to multiply both sides of the equation by the reciprocal of 5/3, which is 3/5. This will cancel out the 5/3 coefficient on x and leave x by itself.
(3/5)(5/3x) = (3/5)(-15/3)
x = -9/5
Therefore, the solution to the equation is x = -9/5.