Find the coordinates of the points where the line 2y- 3x = 6 intersects the curve x^2/4 + y^2/9 = 5

Answer 1

Using 2y -3x =6

or 2y = 6+3x

y= 3 +3/2x

Plug in in

x2/4 +y2/9 =5

x2/4 +( 3+3/2x)2 =5

solving gives x= 2 and x=-4

y= -3 and y= 6