Respuesta :

Answer:

[tex]x=-32.73\,,\,y=85.43[/tex]

Step-by-step explanation:

Given: [tex]y=3.58x+202.6\,,\,y=2.3x+160.7[/tex]

To find: value of x and y

Solution:

[tex]y=3.58x+202.6\,\,(i)\\y=2.3x+160.7\,\,(ii)[/tex]

From equation (i) and (ii),

[tex]3.58x+202.6=2.3x+160.7\\3.58x-2.3x=160.7-202.6\\1.28x=-41.9\\x=\frac{-41.9}{1.28}=-32.73[/tex]

Put [tex]x=-32.73[/tex] in (i)

[tex]y=3.58(-32.73)+202.6\\=-117.17+202.6\\=85.43[/tex]