Answer:
(-2/3, -13/3)
Step-by-step explanation:
Given the expressions;
[tex]y= 2x - 3\\y = (\frac{1}{2} )x - 4[/tex]
Equating both expressions;
[tex]y=y\\2x-3=\frac{1}{2}x-4\\[/tex]
Collect the like terms:
[tex]2x-\frac{1}{2}x=-4+3\\\frac{3x}{2}=-1\\3x=-2\\x=\frac{-2}{3}[/tex]
Substitute [tex]x=\frac{-2}{3}[/tex] into any of the expressions to get 'y'
[tex]Recall\ y= 2x-3\\y=2(\frac{-2}{3} )-3\\y=\frac{-4}{3}-3\\y=\frac{-4-9}{3} \\y=\frac{-13}{3}[/tex]
Hence the solution to the equation is (-2/3, -13/3)
