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 equation 5/3x + 11/3 = -4/3 is solved as follows:
Multiplying both sides by 3 to clear the fractions, we get:
(3)(5/3x + 11/3) = (3)(-4/3)
5x + 11 = -4
Subtracting 11 from both sides:
5x = -4 - 11
5x = -15
Dividing both sides by 5:
x = -15 / 5
x = -3
Therefore, the solution is x = -3.
Note: I didn't see any numbers to fill in.
The equation 5/3x+11/3=−4/3 is solved as follows:
First, we need to get rid of the fractions by multiplying every term in the equation by the least common multiple (LCM) of the denominators, which is 3.
So, we have:
(3)(5/3x) + (3)(11/3) = (3)(-4/3)
Simplifying, we get:
5x + 11 = -4
Next, we isolate the variable term by subtracting 11 from both sides of the equation:
5x + 11 - 11 = -4 - 11
5x = -15
Finally, to solve for x, we divide both sides of the equation by 5:
(5x)/5 = -15/5
x = -3
Therefore, the solution to the equation is x = -3.
To solve the equation 5/3x + 11/3 = -4/3, you need to isolate the variable x.
First, let's combine the fractions on the left side by finding a common denominator. The least common multiple of 3 and 3 is 3. Multiplying the numerators by the appropriate factors, we get:
(5/3)x + (11/3) = (-4/3)
To simplify, rewrite the equation as:
(5x + 11)/3 = -4/3
Next, to eliminate the denominator, you can multiply both sides of the equation by 3:
3 * (5x + 11)/3 = 3 * (-4/3)
On the left side, the 3 in the numerator cancels out with the 3 in the denominator, leaving:
5x + 11 = -4
Now, subtract 11 from both sides to isolate the term with x:
5x + 11 - 11 = -4 - 11
Simplifying further, you have:
5x = -15
Finally, to solve for x, multiply both sides of the equation by the reciprocal of 5, which is 1/5:
(1/5) * 5x = (1/5) * (-15)
On the left side, the 5 and 1/5 cancel out, leaving:
x = -3
Therefore, the solution is x = -3.