Question

Solve the following pair of linear equations by the substitution method : s – t = 3
, s/3+t/2=6​

Answer 1

Step-by-step explanation:

Given:-

s – t = 3 , s/3+t/2=6

To find:-

Solve the following pair of linear equations by the substitution method : s – t = 3 , s/3+t/2=6

Solution:-

Given paor of linear equations are

s – t = 3 -------(1)

=> s = 3 + t ------(2)

And the given equation is s/3+t/2=6 ----(3)

On Substituting the value of s in (3) then

=>[(3+t)/3] + (t/2) = 6

LCM of 3 and 2 is 6

=>[2(3+t)+3t]/6 = 6

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

=>(6+5t)/6 = 6

=>(6+5t)=6×6

=>6+5t = 36

=> 5t = 36-6

=>5t = 30

=>t = 30/5

=>t = 6

On Substituting the value of t in (2) then

s = 3+6

s = 9

Therefore, s=9 and t = 6

Answer:-

The solution for the given pair of linear equations in two variables is (s,t) = ( 9 , 6 )

Check:-

If s=9 and t = 6 then LHS of (1)

9-6 = 3

LHS = RHS

If s=9 and t = 6 then LHS of (2)

(9/3)+(6/2)

=>3+3

=>6

LHS = RHS is true for s=9 and t = 6

Used Method:-

• Substitution method

Answer 2

Answer:

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