a+3b=5 and 7a-8b=6.Solve by substitution Method. [ICSE Class 9 ML Aggarwal Chapter 5 Exercise 5.1 Simultaneous Linear Equation Question 2(i) Solution]
a+3b=5 —(i)
7a-8b=6 —-(ii)
From Equation (i) we get,
a=5-3b —(iii)
Substituting the value of a in equation (ii) we get,
7(5-3b)-8b=6
⟹ 35 -21b-8b=6
⟹ -29b=6-35
⟹ -29b=-29
⟹ b = 29/29
⟹ b = 1
From equation (iii) we get,
a=5-3(1)=5-3=2
∴ Required Solutions are a=2 and b=1