How do you solve (w+8)/3-(w-8)/49=1?

1 Answer
Apr 12, 2018

w=-269/46

Explanation:

(w+8)/3-(w-8)/49=1?

FIRST WE HAVE TO TAKE LCM OF 3 AND 49

49 (w+8)/(3*49)-3 (w-8)/(49*3)=1

Use the distributive property.

(49w+392)/147-(3w-24)/147=1

Combine the fractions with like denominators.

(49w+392-3w+24)/147=1

Multiply both sides of the equation by 147 and combine like terms.

46w+416=1*147

Simplify.

46w+416=147

Subtract 416 from both sides of the equation and divide both sides of the equation by 46.

w=(147-416)/46

Simplify.

w=-269/46