Question

SOLVE X AND Y 2X+3Y=9 AND 4X+Y=1

Answer 1

Solution:-

The given equations are,

2x + 3y - 9 = 0 -----------(1)

4x + 6y - 18 = 0 -----------(2)

From (1), We get,

3y = 9 - 2x

y = 9−2x3 ---------(3)

Substituting (3) in (2), We get,

4x + 6(9−2x3) - 18 = 0

4x + 2(9−2x3) - 18 = 0

4x + 18 - 4x - 18 = 0

0 = 0 ( This is a True statement)

Hence the equations contain infinitely many solutions. So to find the solutions we put x = k where 'k' is any real number.