Question

solve 2x+y=5 2x-3y=4 by elimination method
​

Answer 1

Step-by-step explanation:

x+y=5 −(1)

2x−3y=4 −(2)

Multiplying eqn (1) with 3 and adding to eqn (2)−

3x+3y=15

+ 2x−3y=4

__________________

5x+0y=19

∴x=

5

19

=3.8

Substituting in eqn (1)−

y=5−x=5−3.8=1.2

∴x=3.8,y=1.2

Answer 2

Answer:

x+y=5 −(1)

2x−3y=4 −(2)

Multiplying eqn (1) with 3 and adding to eqn (2)−

3x+3y=15

+ 2x−3y=4

__________________

5x+0y=19

∴x=

5

19

=3.8

Substituting in eqn (1)−

y=5−x=5−3.8=1.2

∴x=3.8,y=1.2