use the elimination method to solve the system of equations a+8b=16, a+2b=-2

Question

use elimination  to solve this system of equations

Answer 1

Elimination method

a+8b = 16 --------. (1)

a+2b = -2 -------> (2)

To eliminate the a value, subtract equation (2)  from (1).

a+8b = 16

a+2b = -2

(-)  (-)   (+)

__________

6b = 14

b  = 14/6

⇒ b = 7/3

Substitute the b value in (1).

a+8*7/3 = 16

a+56/3 = 16

a+56/3-56/3 = 16-56/3

a = 48-56/3

⇒ a = -8/3

Solution a = -8/3, b = 7/3.