Question

Hey guys ♡

hw r u all doin
pls solve this question for me ⤵️

(m-1)/2 - (m-2)/3 = ( m - 4 )/7 ​

Answer 1

m = - 31

Explanation:

Given

`(m-1)/(2)` -
`(m-2)/(3)` =
`(m-4)/(7)`

Multiply through by 42 , the LCM of 2, 3 and 7 , to clear the fractions

21(m - 1) - 14(m - 2) = 6(m - 4) ← distribute parenthesis

21m - 21 - 14m + 28 = 6m - 24

7m + 7 = 6m - 24 ( subtract 6m from both sides )

m + 7 = - 24 ( subtract 7 from both sides )

m = - 31