Question

solve the linear equation 1/2 [x+1] +1/3 [x-1]=5/12 [x-2]

Answer 1

1/2(x+1)+1/3(x-1)= 5/12 (x-2)
1/2x+ 1/2+ 1/3x - 1/3= 5/12x - 10/12
1/2x+ 1/3x+ 1/2 -1/3= 5/12x - 10/12
3x+2x/6+3-2/6= 5x/12 - 10/12
1/6+10/12=5x/12+ 5x/6
1= 5x+10x/12
1=15/12x
x=4/5..... answer
cheers........!!!!

Answer 2

Concept:

Mathematical equation is a relation between two or more variables, numbers, mathematical quantities, mathematical operations and other mathematical components via equal sign (=).

The equation which has at most 1 as degree of its variable is called Linear equation.

Given:

Given that, the linear equation 1/2 (x+1) + 1/3 (x-1) = 5/12 (x-2)

Find:

The solution of the above linear equation.

Solution:

Given linear equation is 1/2 (x+1) + 1/3 (x-1) = 5/12 (x-2)

On solving the above equation we get,

1/2 (x+1) + 1/3 (x-1) = 5/12 (x-2)

(x+1)/2 + (x-1)/3 = (5(x-2))/12

((x+1)*3+(x-1)*2)/6 = (5x-10)/12, since the LCM of 2,3 = 6

(3x+3+2x-2) = ((5x-10)/12)*6, multiplying 6 to both sides

5x+1 = (5x-10)/2

2(5x+1) = 5x-10

10x+2 = 5x-10

10x-5x = -10-2

5x = -12

x = -12/5

Hence the solution of the given linear equation 1/2 (x+1) + 1/3 (x-1) = 5/12 (x-2) is given by x = -12/5.

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