Question

Solve the following equation by elimination method
2x + y = 12
3x - y = 13

Answer 1

Answer:

X=5 and y=2

Explanation:

Given:-

2x + y = 12 --- ---(i)

3x - y = 13 -- (ii)

Add (i) and (ii) we get,

5x = 25

X=25/5

x = 5 --- (iii)

Substitute (iii) in equation (i)

2(5) + y = 12

10+ y = 12

y = 12 -10

y = 2

Solution:-

X=5 and y=2

#BrainLock.

Answer 2

Answer:

2x + y = 12 and 3x - y = 13 by elimination method.

2x + y = 12 . . . . (1)

3x - y = 13 . . . . (2)

Multiply equation (1) by 3, (2) by 2, we get

6x + 3y = 36 . . . . (3)

6x - 2y = 26 . . . . (4)

adding (3) and (4) we get,

6x + 3y = 36

6x - 2y = 26

(-) (+) (-)

___________

5y = 10

y = 10/5

y = 2

Substituting the value of y = 2 in equation (1) we get,

➜ 2x + y = 12

➞ 2x + (2) = 12

➞ 2x + 2 = 12

➞ 2x = 12 - 2

➞ 2x = 10

➞ x = 10/2

➞ x = 5

∴ The value of x = 5, y = 2 is the solution of the system of the given equations.