SIMULTANEOUS 1

Solve the following equations by elimination method.

4x - 2y = 6

3x - y = 7

Solution

4x - 2y = 6 ………..….(i)

3x - y = 7……………….(ii)

By using elimination method,

1(4x - 2y = 6

2(3x - y = 7

Then we add to eliminate y first by subtraction

   4x  - 2y = 6

   6x - 2y = 14

   -2x  + 0  = -8

-2x = -8                     [Dividing by 11 both sides] 

-2      -2

x = 4

From equation (1),

4x - 2y = 6

4(4) - 2y = 6

16 - 2y = 6

16-6 = 2y

10 =2y

10 =2y

2     2

y = 5 [after dividing by 2 both sides]

Hence x=4 and y=5.

TRY THIS........

Solve the following equations by elimination method.

5x + y = 20

2x + 3y = 21