(Q.30). Check whether the following equations are consistent or inconsistent. Solve them graphically

5x – 3y = 11

-10x + 6y = -22

Given pair of equations 5x – 3y = 11 and -10x + 6y = -22

a1
a2
 =
-
 =
-
;
b1
b2
 =
-
 =
-
 and
c1
c2
 =
-
 =
-1
∴
a1
a2
 =
b1
b2
 =
c1
c2

∴ The lines are consistent.

∴ The given linear equations represent coincident lines.

Thus they have infinitely many solutions.

5x – 3y = 11
x y (x,y)
1 - (1,-)
4 (4,)
-10x + 6y = -22
x y (x,y)
-2 - (-2,-)
4 (4,)