Question

represent the following system of linear equations graphically also find the coordinates of the vertices of the triangle formed by these lines and y-axis x+y=3, 3x - 2y=4​

Answer 1

x+y=3. . . . (1)

3x-2y= 4. . . . . (2)

(x+y)-(3x-2y) =3-4

x+y-3x+2y= -1

-2x+4y=-1

y=-1+2x/4........(3)

Now we put eq (3) in eq (1)

x+y=3

x+[-1+2x/4]=3

x+1+2x/ 4= 3

4x+1+2x=3×4

6x=12-1

x =11/6......(4)

Put eq 4 in equation 3

y =-1+2/4×11/6

y=1/12