Question

solve the pair of linear equations by using substitution method​

Answer 1

s - t = 3

s = 3 + t. -----------------------(i)

now,also

s/3 + t/2 = 6

(3 + t)/3 + t/2 = 6

3/3 + t/3 + t/2 = 6

1 + (2t + 3t)/6 = 6

5t/6 = 5

5t = 5*6

t = 6

now, putting value of t = 6 in equation (i)

s = 6 + 3

s = 9

Answer 2

Question:

Solve the pair of linear equations by using substitution method.

s - t = 3

( s / 3 ) + ( t / 2 ) = 6

Answer:

The solution of the given equations is

( s, t ) = ( 9, 6 ).

Step-by-step-explanation:

The given linear equations are

s - t = 3

⇒ s = 3 + t

⇒ s = t + 3 - - - ( 1 ) &

( s / 3 ) + ( t / 2 ) = 6

⇒ ( 2s + 3t ) / ( 3 * 2 ) = 6

⇒ ( 2s + 3t ) / 6 = 6

⇒ 2s + 3t = 6 * 6

⇒ 2s + 3t = 36

⇒ 2 ( t + 3 ) + 3t = 36 - - - [ From ( 1 ) ]

⇒ 2t + 6 + 3t = 36

⇒ 2t + 3t = 36 - 6

⇒ 5t = 30

⇒ t = 30 / 5

⇒ t = 6

By substituting t = 6 in equation ( 1 ),

s = t + 3 - - - ( 1 )

⇒ s = 6 + 3

⇒ s = 9

∴ The solution of the given equations is

( s, t ) = ( 9, 6 ).