The equation 3/5x + 11/3 = -4/3 is solved as follows. Filling the correct numbers to complete the solution.
5/3x =
x =
Make sure to subtract 11/3 from both sides for 5/3x =
5/3x - 11/3 =
Now, combining the like terms on the left side, we get:
5/3x - 11/3 = -4/3
To isolate 5/3x, we now need to add 11/3 to both sides. This gives us:
5/3x - 11/3 + 11/3 = -4/3 + 11/3
Simplifying the left side further:
5/3x = -4/3 + 11/3
Now, adding -4/3 and 11/3, we have:
5/3x = 7/3
To solve for x, we can multiply both sides of the equation by the reciprocal of 5/3, which is 3/5:
(3/5)(5/3)x = (3/5)(7/3)
Simplifying further:
1x = 21/15
Now, simplifying 21/15:
x = 7/5
To solve the equation 3/5x + 11/3 = -4/3, we want to isolate the variable x on one side of the equation. Let's go through the steps together.
Step 1: Subtract 11/3 from both sides of the equation:
3/5x + 11/3 - 11/3 = -4/3 - 11/3
This simplifies to:
3/5x = -15/3
Step 2: Simplify the right side of the equation:
-15/3 can be further simplified to -5.
So our equation becomes:
3/5x = -5
Step 3: To solve for x, we want to isolate it on one side of the equation. In this case, we have 3/5 multiplying x.
To get rid of this fraction, we can multiply both sides of the equation by the reciprocal of 3/5, which is 5/3.
Multiply both sides by 5/3:
(5/3)(3/5)x = -5(5/3)
On the left side, the fraction (5/3)(3/5) simplifies to 1, so we are left with:
1x = -25/3
Step 4: Simplify the right side of the equation:
-25/3 can also be written as -8 and 1/3.
So our equation becomes:
x = -8 and 1/3
Therefore, the solution to the equation 3/5x + 11/3 = -4/3 is x = -8 and 1/3.
To solve the equation 3/5x + 11/3 = -4/3, we need to isolate the variable "x" on one side of the equation.
First, let's simplify the left side by finding a common denominator for 5 and 3. The least common multiple (LCM) of 5 and 3 is 15.
Multiply the numerator and denominator of 3/5x by 3 to get the new fraction (9/15x).
Multiply the numerator and denominator of 11/3 by 5 to get the new fraction (55/15).
Now, our equation becomes (9/15x + 55/15 = -4/3).
To eliminate the fractions, we can multiply the entire equation by 15 to clear the denominators.
15 * (9/15x + 55/15) = 15 * (-4/3)
This simplifies to (9x + 55 = -20).
Next, we need to isolate the term with "x" on one side. To do this, subtract 55 from both sides of the equation:
9x + 55 - 55 = -20 - 55
This simplifies to (9x = -75).
Finally, to solve for "x", divide both sides of the equation by 9:
(9x)/9 = (-75)/9
This simplifies to (x = -75/9).
To further simplify the answer, you can reduce the fraction -75/9 by dividing both the numerator and denominator by their greatest common divisor, which is 3:
((-75)/3) / ((9)/3)
This simplifies to (-25/1) / (3/1)
Therefore, x = -25/3.
No no so for
5/3x it says subtract 11/3 from both sides
x it says multiply both sides by 3:5, the reciprocal of 5/3 !
Apologies for the confusion. Let's correct the steps.
We have the equation 5/3x = -4/3 - 11/3.
To solve for x, we can start by subtracting 11/3 from both sides:
5/3x - 11/3 = -4/3 - 11/3.
Simplifying the right side:
5/3x - 11/3 = -15/3.
Now, to isolate x, we can 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:
1x = -9/5.
Therefore, the solution to the equation 3/5x + 11/3 = -4/3 is x = -9/5.