How do you solve #-1+x=1/3#?

Answer 1

Isaiah Anthony

#x=4/3#

#color(red)("Using first principles method")#

Given:#" "color(brown)(-1+x=1/3)#

To both sides, add one.

#color(brown)(-1color(blue)(+1)+x=1/3color(blue)(+1))#

But #-1+1=0" and "1/3+1=1/3+3/3=4/3#

#=0+x=4/3#

#x=4/3#

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ #color(red)("Using shortcut method")#

move the #-1# to the other side of the = and change its sign

#color(brown)(-1+x=1/3)color(blue)(" "->" "x=1/3+1)#

But 1 is the same as #3/3#

#x=1/3+3/3=4/3#

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Answer 2

Isaiah Anthony

To solve the equation -1 + x = 1/3, you need to isolate the variable x. Start by adding 1 to both sides of the equation to move the constant term to the other side. This gives you x = 1/3 + 1. To add the fractions, find a common denominator, which in this case is 3. So, 1/3 + 1 = 1/3 + 3/3 = 4/3. Therefore, x = 4/3.

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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.