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How do you solve #-6w-19=-4w-17#?

Answer 1

Abigail Allen

#w=-1#

#"collect terms in w on the left side and numeric values"# #"on the right side of the equation"#

#"add 4w to both sides"#

#-6w+4w-19-cancel(-4w)cancel(+4w)-17#

#rArr-2w-19=-17#

#"add 19 to both sides"#

#-2wcancel(-19)cancel(+19)=-17+19#

#rArr-2w=2#

#"divide both sides by "-2#

#(cancel(-2) w)/cancel(-2)=2/(-2)#

#rArrw=-1#

#color(blue)"As a check"#

Substitute this value into the equation and if both sides are equal then it is the solution.

#"left "=(-6xx-1)-19=6-19=-13#

#"right "=(-4xx-1)-17=4-17=-13#

#rArrw=-1" is the solution"#

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Answer 2

Jace Anderson

To solve the equation -6w - 19 = -4w - 17, first, combine like terms to get -2w - 19 = -17. Then, add 19 to both sides to isolate the variable: -2w = 2. Finally, divide both sides by -2 to solve for w: w = -1.

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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.