SIMULTANEOUS EQUATIONS D1

Solve the following equations by substitution method.

4x - 2y = 6

x - y = -1

Solution

4x - 2y = 6----------- (i)

x - y = -1---------- (ii)

from equation (ii)

x - y = -1

x = -1+ y ----------(iii)

Substitute equation (iii) in (i) above,

4x - 2y = 6

4(-1+ y) - 2y = 6

-4 + 4y - 2y = 6

-4 + 2y = 6

2y = 6 + 4

2y = 10

2y = 10

 2     2

y = 5

From equation (iii)

x = -1+ y ----------(iii)

x = -1+ 5

 x = 4

Hence x=4 and y=5.

TRY THIS……………….

Solve the following equations by substitution method.

5x - 6y = 3

x + y = 5