Question
The equation 5/3x+11/3=-4/3 is solved as follows. Fill in the correct numbers to complete the solution
5/3=_ subtract 11/3 from both sides
x= _ multiply both sides by 3/5 the reciprocal of 5/3
5/3=_ subtract 11/3 from both sides
x= _ multiply both sides by 3/5 the reciprocal of 5/3
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Answered by
GPT 3.5
To solve the equation 5/3x + 11/3 = -4/3, we need to isolate the variable x on one side of the equation.
To do this, we'll subtract 11/3 from both sides:
5/3x + 11/3 - 11/3 = -4/3 - 11/3
Simplifying, we have:
5/3x = -15/3
Next, we'll 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, we get:
1x = -9/5
So the solution to the equation is:
x = -9/5
To do this, we'll subtract 11/3 from both sides:
5/3x + 11/3 - 11/3 = -4/3 - 11/3
Simplifying, we have:
5/3x = -15/3
Next, we'll 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, we get:
1x = -9/5
So the solution to the equation is:
x = -9/5
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