How do you solve -w + 26= 200w+26=200?

2 Answers
Mar 2, 2018

w=-174w=174

Explanation:

−w+26=200w+26=200

(−w+26)-26=(200)-26(w+26)26=(200)26

−w=174w=174

(−w) * -1 = (174) * -1(w)1=(174)1

w=-174w=174

Mar 2, 2018

The answer is w=-174w=174.

Explanation:

To solve for ww, do the same actions to both sides of the equals sign.

In this case, first, subtract 2626 from both sides of the equation. Then, multiply by -11. Here's the problem with the steps written on the side (I put any multiplying or subtracting in blue):

color(white){color(black)( (-w+26=200, qquadqquad "The original equation"), (-w+26color(blue)(-26)=200color(blue)(-26), qquadqquad "Subtract "26" from both sides of the equals sign"), (-w+color(red)cancel(color(black)(26-26))=200-26, qquadqquad 26-26" is just "0), (-w+0=200-26, qquadqquad "Rewrite the above step"), (-w=200-26, qquadqquad -w+0" is just "-w), (-w=174, qquadqquad 200-26" is "174), (-wcolor(blue)(xx-1)=174color(blue)(xx-1), qquadqquad"Multiply both sides of the equals sign by "-1), (w=174xx-1, qquadqquad -wxx-1" is just "w), (w=-174, qquadqquad 174xx-1" is "-174) :}

The answer is w=-174. We can verify this answer by plugging it back in to the original problem. If it returns a true statement (like 1=1 or -5=-5), then we know our answer is correct.

color(white)=>-w+26=200

=>-(-174)+26=200

color(white)=>174+26=200

color(white)=>200=200

Since this statement is true, our answer is correct.