Question

Find the point where the graphs of the equation 3x + 4y = 6, cut the x - axis.

plz do it fast.....

Answer 1

on the x-axis y=o
so
3x=6
x=2
hence answer is (2,0)

Answer 2

Let the point it cuts the x - axis be (a,b),

Generally, the point on x - axis = (a,0),
=> it will cut x - axis at a point (a,0),

If it cuts the x-axis at (a,0) then definitely, (a,0) is a solution of 3x+4y = 6,

If it is a solution of that substitute it in the equation to get the value of a,

=> 3(a) + 4(0) = 6,
=> 3a = 6,
=> a = 2,

That means the graph cuts the x-axis at a point (2,0) ,

Finally the answer is (2,0) ,

Hope you understand !!

Have a great day !