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Write any two linear equations in two variables in which the value of one variable is 12 and the other 10. - Algebra

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Question

Write any two linear equations in two variables in which the value of one variable is 12 and the other 10

Sum

Solution

x + y = 22      ......(i)

x – y = 2       ......(ii)

Adding equations (i) and (ii), we get

    x + y = 22  
+ x – y  =   2  
  2x       = 24

∴ x = `24/2` = 12

Substituting x = 12 in equation (i), we get

12 + y = 22

∴ y = 22 – 12 = 10

∴ x + y = 22 and x – y = 2 are the required linear equations in two variables.

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Linear Equation in Two Variables
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Chapter 1: Linear Equations in Two Variables - Q.5

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SCERT Maharashtra Algebra (Mathematics 1) [English] 10 Standard SSC
Chapter 1 Linear Equations in Two Variables
Q.5 | Q 3
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