Question

Please Solve this equation by substitution method...2x+3y=9...4x+6y=18.

Answer 1

Answer:

Infinite solutions

Step-by-step explanation:

2x+3y=9

=> x = (9-3y)/2

Substitute this value in the other equation.

=> 4x+6y=18

=> 4(9-3y)/2+6y=18

=> 18-6y+6y=18

=> 18=18

This shows that there are infinite number of solutions for the given pair of equations.

Answer 2

Answer:

2x+3y=9.....(1)

4x+6y=18.....(2)

eq (1) can be written as

2x=9-3y

x=9-3y/2...(3)

substitute value of x from eq 3 in eq 2 we get

4(9-3y)/2+6y=18

2(9-3y) +6y =18

18-6y+6y=18

18=18

therefore equation has infinite no. of solution