Question

Solve for X. Write down what type of solution the equation has. 1) -1/8 (X - 24 ) + 1/2 (X + 4) = X + 15 I 2) 12 (x + 2) - 4X = 4 (2X + 11 ) -20

Answer 1

(i)

Given data:

The given expression is -1/8 (X-24)+1/2(X+4)=X+15.

The given expression can be written as,

`\begin{gathered} -(1)/(8)(X-24)+(1)/(2)(X+4)=X+15 \\ (-(X-24)+4(X+4))/(8)=X+15 \\ -X+24+4X+16=8(X+15) \\ 3X+40=8X+120 \\ -5X=80 \\ X=-16 \end{gathered}`

Thus, the value of X is -16.

(ii)

Given data:

The given expression is 12(X+2)-4x=4(2X+11)-20.

The given expression can be written as,

`\begin{gathered} 12(X+2)-4X=4(2X+11)-20 \\ 12X+24-4X=8X+44-20 \\ 8X+24=8X+24 \\ 8X-8X=24-24 \\ 0=0 \end{gathered}`

Thus, the above equation is true for all values of x.