Question

Given the equation - 3x +2y =4. Write another linear equation that will form a linear system with exactly one solution?



I usually try to answer b4 i ask question But this time i'm really stuck. plz help ?

Answer 1

Any other line that intersects that one will do. It can not be the same line and it can not be parallel. You have
-3 x + 2 y = 4
so change the sign of the x coefficient for example which changes the slope.
+3 x + 2 y = 4
Now you have
-3 x + 2 y = 4
+3 x + 2 y = 4
----------------- add
4 y = 8
y = 2
then
3 x + 4 = 4
x = 0
so they intersect at
(0,2)