Question

Solve the following pair of linear equations using substitution method:- 2 + 3 + 5 = 0 ; 5 − 3 + 9 = 0​

Answer 1

Answer:

(i) x+y=14⇒y=14−x

Substituting this value in the second equation, we get

x−(14−x)=4

2x=18⇒x=9

Substituting this value of x in the first equation, we get

9+y=14⇒y=5

(ii) s−t=3⇒s=t+3

Substituting in 2nd equation

3t+3+2t=6

62t+6+3t=6

5t+6=36⇒t=6

Substituting value of t in 1st equation

s=t+3=9

(iii) ∵a2a1=b2b1=c2c1

Hence all the points lying on the line  y=3x−3 like x=2,y=3; are a solution. 

(iv) 0.2x+0.3y=1.3⇒x=0.21.3−0.3y