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1. Linear Equations in Two Variables
Home · Class 10 · Maths · Ref. Book · 1. Linear Equations in Two Variables
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Q6 of 61 Page 27

Solve the following simultaneous equations.



Let




Multiply Eq. 1 by 7 and Eq.II by 2






Substituting value in Eq.VI







∴


∴


Hence,


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All 61 →
6

Solve the following simultaneous equations.

6

Solve the following simultaneous equations.

6

Solve the following simultaneous equations.

7

Solve the following word problems.

A two digit number and the number with digits interchanged add up to 143. In the given number the digit in unit’s place is 3 more than the digit in the ten’s place. Find the original number.


Let the digit in unit’s place is x


and that in the ten’s place is y



The number obtained by interchanging the digits is


According to first condition two digit number + the number obtained by interchanging the digits = 143



From the second condition,


digit in unit’s place = digit in the ten’s place + 3



Adding equations (I) and (II)



Putting this value of x in equation (I)


x + y = 13



The original number is 10


Questions · 61
1. Linear Equations in Two Variables
1 2 2 2 2 2 2 2 2 1 2 2 2 2 2 1 2 3 3 3 3 3 3 1 1 1 1 1 2 3 4 5 6 1 1 1 1 1 2 3 3 3 3 3 4 5 5 5 5 5 6 6 6 6 6 7 7 7 7 7 7
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