Question

Solve :

y=3.58•x+ 202.6
&
y=2.3•x+160.7

Answer 1

`x=-32.73\,,\,y=85.43`

Explanation:

Given:
`y=3.58x+202.6\,,\,y=2.3x+160.7`

To find: value of x and y

Solution:

`y=3.58x+202.6\,\,(i)\\y=2.3x+160.7\,\,(ii)`

From equation (i) and (ii),

`3.58x+202.6=2.3x+160.7\\3.58x-2.3x=160.7-202.6\\1.28x=-41.9\\x=(-41.9)/(1.28)=-32.73`

Put
`x=-32.73` in (i)

`y=3.58(-32.73)+202.6\\=-117.17+202.6\\=85.43`