Question

Which point satisfies the system of equations y= 3x - 2 and y=-2x + 3?

Answer 1

The points which satisfy the given lines is ( 1 , 1 )

Explanation:

Given as :

The equation of lines is

y = 3 x - 2 ........ 1 And

y = - 2 x + 3 ........ 2

From equation given

3 x - 2 = - 2 x + 3

Or , 3 x + 2 x = 3 +2

Or, 5 x = 5

So , x =
`(5)/(5)` = 1

Put the value of x in eq 1

So, y = 3 ( 1 ) - 2

Or, y = 3 - 2 = 1

∴, the points ( x , y ) = ( 1 , 1 )

Hence The points which satisfy the given lines is ( 1 , 1 ) Answer