Question

Consider the equation 2 (ax+ 3) = 4x- 3 (4x+ 8). For what value of a is there no solution to the equation?

Answer 1

The equation given is,

`2(ax+3)=4x-3(4x+8)`

Solving for a

Expand the terms

`\begin{gathered} 2* ax+2*+3=4x-3*4x-3*+8 \\ 2ax+6=4x-12x-24 \\ 2ax+6=-8x-24 \end{gathered}`

Comparing the two sides of the equation

`2ax=-8x`

Divide both sides by 2x

`\begin{gathered} (2ax)/(2x)=-(8x)/(2x) \\ a=-4 \end{gathered}`

Hence, the value of a for which there is no solution to the equation is

`a=-4`