Question

(a)find a point where line 2x+3y =6 meets x-axis. (b) find the point where line 3x-4y= 9 meets x-axis (c) find the point where line 2x+3y=6 and 3x-4y meet each other

Answer 1

a)suppose the point 2x+3y=6meets the x-axis at point(x,0). so 2x+0=6.then ,x=3.hence the point meets x-axis at point (3,0).
b)and the coordinates of it be ( x,0) because the coordinates of y at x-axis is equal to 0 units.
so again, 3x-4×0=9=>x=3. so the point for this point is also=(3,0).
c)for the third question we have to Solve for x and y.then x=9+4y/3 and 2(9+4y)/3+3y=6=>y=0. and x=3. so these points meets at point (3,0).

Answer 2

let a point (x,0) where the line meet at x-axis.
if y=0 then 2x+3×0=6,x=3 hence the point is (3,0) .
let the point (x,0) where the line meet at x-axis.
if y=0 then 3x-4×0=9 ,x=3 hence the point is (3,0).
we have solved a and b now ,the point where ,2x+3y=6 & 3x-4y meet each other are (3,0).