Solve graphically
x+2y=4 and 2x+y=5
Answers
Answer:
Equation I:- 2x+y=5
Equation II:- x+2y=4
∴ We multiply Equation I by 2.
(2x+y=5)×(2)=(4x+2y=10)
We get equation III =4x+2y=10
Now, we subtract equation III & equation II.
(4x+2y=10)−(x+2y=4)
∴(4x−x)+(2y−2y)=(10−4)
∴(3x)+(0)=(6)
∴3x=6
∴x=36=2
We get x=2.
Now we substitute x=2 in equation II.
Equation II:- x+2y=4
∴2+2y=4
∴2y=4−2
∴2y=2
∴y=2/2
∴y=1
Solving given equations, we get : x=2,y=1.
Answer:
Equation I:- 2x+y=5
Equation II:- x+2y=4
∴ We multiply Equation I by 2.
(2x+y=5)×(2)=(4x+2y=10)
We get equation III =4x+2y=10
Now, we subtract equation III & equation II.
(4x+2y=10)−(x+2y=4)
∴(4x−x)+(2y−2y)=(10−4)
∴(3x)+(0)=(6)
∴3x=6
∴x=36=2
We get x=2.
Now we substitute x=2 in equation II.
Equation II:- x+2y=4
∴2+2y=4
∴2y=4−2
∴2y=2
∴y=2/2
∴y=1
Solving given equations, we get : x=2,y=1.