Question

solve the following pair of linear equations in two variables by using substitution method 5a+b=2and6a-3b=1​

Answer 1

Answer:

a= -7/8

b=51/8

Step-by-step explanation:

5a + b = 2

b = 2-5a (1)

6a-3b=1 (2)

substituting equation (1) in equation (2)

6a - 3(2-5a) = 1

6a - 6 - 15a = 1

6a-15a = 1 +6

-8a= 7

a = 7/-8

a = -7/8.

substituting a= -7/8 in equation (1)

b= 2 - 5a

b= 2 - 5(-7/8)

b= 2 - (5×(-7)/8)

b= 2 - (-35/8)

b= 2 + 35/8

b= 16+35/8

b= 51/8.