Find the solution of the pair of equations
3x – y = 5 and x + 2y = 4.
Answers
Answered by
2
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.
Thus, (a) is true.
Step-by-step explanation:
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Answered by
2
Answer:
x=2
y=1
Step-by-step explanation:
3x-y=5........... 1
x+2y=4.......... 2
from 1
3x-y=5
x=5+y/3........... 3
putting value of x in 2
x+2y=4
5+y/3+2y=4
5+y+6y/3=4
5+7y=4×3
7y=12-5
7y=7
y=1
putting value of y in 1
3x-y=5
3x-1=5
3x=5+1
3x=6
x=2
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