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]