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 want to isolate x on one side of the equation.
To start, we can subtract 11/3 from both sides of the equation:
5/3x + 11/3 - 11/3 = -4/3 - 11/3
Simplifying both sides:
5/3x = -15/3
Now, we can simplify the right side further:
5/3x = -5
To isolate x, we need to multiply both sides by the reciprocal of 5/3, which is 3/5:
(3/5)(5/3x) = (3/5)(-5)
Simplifying both sides:
1x = -3
Or, simply:
x = -3