What is x if #4=2/3x+9-1/3x#?

Answer 1

Avery Alexander

#x=-15#

Original Equation #4=2/3x+9-1/3x#

Multiply everything by #3# to remove the denominator

#(4*3) =(2/3*3*x)+(9*3)-(1/3*3*x)#

Write the equation again.

#12=2x+27-1x#

Gather similar terms

#12=1x+27#

Separate x

#-15=1x#

#x=-15#

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Answer 2

Kennedy Adams

To find the value of ( x ), we can simplify the equation:

[ 4 = \frac{2}{3}x + 9 - \frac{1}{3}x ]

Combine like terms:

[ 4 = \frac{2}{3}x - \frac{1}{3}x + 9 ]

[ 4 = \frac{2x - x}{3} + 9 ]

[ 4 = \frac{x}{3} + 9 ]

Subtract 9 from both sides:

[ -5 = \frac{x}{3} ]

Multiply both sides by 3 to isolate ( x ):

[ -15 = x ]

Therefore, ( x = -15 ).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.