OP Malhotra Simultaneous Linear Equations in two variable Class-9 S.Chand ICSE Maths Ch-5. We Provide Step by Step Answer of Exe-5(a), Exe-5(b), with Chapter Test of S Chand OP Malhotra Maths . Visit official Website CISCE for detail information about ICSE Board Class-9.
OP Malhotra Simultaneous Linear Equations in two variable Class-9 S.Chand ICSE Maths Ch-5
How to Solve Simultaneous Linear Equations:
Up to now we have solved equations with only one unknown variable. When solving for two unknown variables, two equations are required and these equations are known as simultaneous equations. The solutions are the values of the unknown variables which satisfy both equations simultaneously. In general, if there are n unknown variables, then n independent equations are required to obtain a value for each of the n variables.
Solving Linear Equations in Two Variables by Two Methods
(1) Substitution Method
(2) Addition or Subtraction Method
(1) Substitution Method :
11x-8y = 27 ………. (i)
3x+5y = -7 ……….. (ii)
11x = 27+8y or x = (8y+27)/11 ………. (iii)
Put this value of x in eqn (ii)
3[(8y+27)/11] + 5y = -7
24y + 81 + 55y = -77
79y = -77-81
y = -158/79 = -2
Substitute the value in eqn (iii)
x = {8×(-2)+27}/11
= (-16+27)/11 = 11/11 = 1
x = 1 and y = -2
(2) Method of Elimination by Addition or Subtraction
3x – 2y = 19 ………. (i)
4x + y = 18 ……….. (ii)
On Adding both eqn we get,
11x = 55
x = 55/11 = 5
Put the value in eq(i) we get,
3(5) – 2y = 19
15 – 2y = 19
15 – 19 = 2y
2y = -4
y = -2
x = 5 and y = -2.
Practice Questions on Complex Problems :- Exercise-5(a)
Word Problems on
(1) Number
(2) Fraction
(3) Age
(4) Geometrical
(5) Boats and Stream
(6) Time and Distance
Practice Questions on Word Problems :- Exercise-5(b)
In this chapter, we study all the topics on Factorisation and do some practice questions also. Here we solve extra practice questions on this chapter for better understanding.
Here is the link for extra practice questions on Simultaneous Linear Equations in two variable :- Chapter Test
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phrase also send chapter test
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