Question

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

Answer 1

Answer:

(-2/3, -13/3)

Step-by-step explanation:

Given the expressions;

$y= 2x - 3\\y = (\frac{1}{2} )x - 4$

Equating both expressions;

$y=y\\2x-3=\frac{1}{2}x-4$

Collect the like terms:

$2x-\frac{1}{2}x=-4+3\\\frac{3x}{2}=-1\\3x=-2\\x=\frac{-2}{3}$

Substitute $x=\frac{-2}{3}$ into any of the expressions to get 'y'

$Recall\ y= 2x-3\\y=2(\frac{-2}{3} )-3\\y=\frac{-4}{3}-3\\y=\frac{-4-9}{3} \\y=\frac{-13}{3}$

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