Question

Y= 2x - 3; Y = (1/2)x - 4

Answer 1

(-2/3, -13/3)

Explanation:

Given the expressions;

`y= 2x - 3\\y = ((1)/(2) )x - 4`

Equating both expressions;

`y=y\\2x-3=(1)/(2)x-4\\`

Collect the like terms:

`2x-(1)/(2)x=-4+3\\(3x)/(2)=-1\\3x=-2\\x=(-2)/(3)`

Substitute
`x=(-2)/(3)` into any of the expressions to get 'y'

`Recall\ y= 2x-3\\y=2((-2)/(3) )-3\\y=(-4)/(3)-3\\y=(-4-9)/(3) \\y=(-13)/(3)`

Hence the solution to the equation is (-2/3, -13/3)