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 5/3x + 11/3 = -4/3, we need to isolate x.
To do this, we first subtract 11/3 from both sides:
5/3x = -4/3 - 11/3
Now we need to find a common denominator to combine the fractions on the right side. The common denominator is 3. So we have:
5/3x = (-4 - 11)/3
Combine the numerators:
5/3x = -15/3
Simplify the right side:
5/3x = -5
To isolate x, we need to get rid of the 5/3 coefficient. We can do this by multiplying both sides by the reciprocal of 5/3, which is 3/5:
(3/5)(5/3x) = (3/5)(-5)
The 5/3 and 3/5 cancel each other out on the left side, leaving us with:
1x = -15/5
Simplify the right side:
x = -3
The solution to the equation 5/3x + 11/3 = -4/3 is x = -3.