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How do you solve #3.5x-1=-1/2(-7x+2)#?

Answer 1

Eli Assouline

There are an infinite number of solutions.

Convert #3.5# into an improper fraction.

#3.5=3 1/2=7/2#

Rewrite the equation.

#7/2x-1=-1/2(-7x+2)#

Apply the distributive property on the right side.

#7/2x-1=((-1/2*-7x)+(-1/2*2))# =

#7/2x-1=7/2x-1#

Because both sides are equal, there are an infinite number of solutions.

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Answer 2

Genesis Allen

To solve the equation 3.5x - 1 = -1/2(-7x + 2):

Distribute the -1/2 to (-7x + 2) to get: 3.5x - 1 = (7/2)x - 1
Combine like terms to get: 3.5x - 1 = (7/2)x - 1
Subtract (7/2)x from both sides to isolate the variable: 3.5x - (7/2)x - 1 = - 1
Simplify the left side: (3.5 - 7/2)x - 1 = -1
Find a common denominator: (7/2 - 7/2)x - 1 = -1
Combine like terms: (-3.5/2)x - 1 = -1
Add 1 to both sides: (-3.5/2)x = 0
Divide both sides by (-3.5/2) to solve for x: x = 0

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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.