SIMULTANEOUS EQUATIONS 1

Solve the following equations by elimination method.

5x - 2y = 10

3x + y = 17

solution

5x - 2y = 10 ……………….(i)

3x + y = 17……………….(ii)

By using elimination method,

1(5x - 2y = 10

2(3x + y = 17

Then we add to eliminate y first

   5x  - 2y = 10

   6x + 2y = 34

   11x  + 0  = 44

11x = 44                     [Dividing by 11 both sides] 

11      11

x = 4

from equation (1),

5x - 2y = 10

5(4) - 2y = 10

20 - 2y = 10

20 = 10 + 2y

20 -  10 =2y

10=2y

y = 5 [after dividing by 2 both sides]

Hence x=4 and y=5.

TRY THIS........

Solve the following equations by elimination method.

4x + 6y = 16

3x - 2y = -1