Question

solve and check
a) m-(m-1) / 2 = 1 - (m-2)/ 3
b) 8(2x-5 ) - 6 ( 3x - 7 ) =1​

Answer 1

Answer:

a) Given, m - (m - 1)/2 = 1 - (m - 2)/3

Multiply both sides by the LCM of the denominators to get rid of fractional denominator.

Now transpose variables to one side and constants to another side to form a linear equation.

m - (m - 1)/2 = 1 - (m - 2)/3

LCM of the denominators is 6

Multiply the LCM on both sides

⇒ 6[m - (m - 1)/2] = 6[1 - (m - 2)/3]

⇒ 6m - 3m + 3 = 6 - 2m + 4

⇒ 5m = 7

Hence,m = 7/5

b) Given:

8(2x-5)-6(3x-7)=1

16x -40-18x+42 = 1

-2x+2 = 1

-2x = -1

x = 1/2.

Therefore, the value of x is 1/2.