MathematicsSolve the following pair of equations by substitution method: 2x+3y−10=0 y=5− 3 2 x  

Solve the following pair of equations by substitution method:


2x+3y10=0 y=5 3 2 x  


  1. A
    x = 1 and y = 2
  2. B
    x = 2 and y = 2
  3. C
    x = 3 and y = 4
  4. D
    x = 2 and y = 1 

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    Solution:

    Given pair of linear equations are 2x+3y10=0   and y=5 3 2 x  . We need to find the value of x and y.
    In substitution method, we substitute the value of one variable into another equation.
    equations.
    We have,
    2x+3y10=0...(i)  
    y=5 3 2 x...(ii)  
    Now substituting the value of y from equation (ii), to equation (i),
    2x+3 5 3 2 x 10=0  
    4x9x+3020=0 5x+10=0 5x=10 x= 10 5 x=2  
    Now, substituting the value of x in equation (ii), we have,
    y=5 3 2 (2) y=53 y=2  
    Thus, the solution of system is x = 2, y = 2.
    Therefore, option 2 is correct.
     
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