Question

3/4x - 1/2y =12ax- by = 9The system of equations above has no solutions. If aand b are constants, what is the value of a/b

Answer 1

The given expression is

`(3)/(4)x-(1)/(2)y=\text{ 12}`
`\begin{gathered} (3)/(4)x-(1)/(2)y=\text{ 12 } \\ (1)/(2)y=(3)/(4)x-12 \\ y=(3)/(2)x-24 \end{gathered}`

the second expression is

`\begin{gathered} ax-by=9 \\ by=ax-9 \\ y=(a)/(b)x-(9)/(b) \end{gathered}`

for NO solution the coefficient of the x should be equal. that is the slope of the expression

`(a)/(b)=(3)/(2)`

So the answer is a/b = 3/2 .