Mathematics
Grade10
Easy

Question

The best method that would be used in solving the following system of equations is ______________________.
3x + 2y = 16
7x − 2y = 19

  1. Restitution 
  2. Substitution
  3. Graphing
  4. Elimination

hintHint:

In this question we have to find the first step in finding the solution with elimination . where the equations are 3x + 2y = 16 and 7x - 2y  = 19. In elimination method , we have to multiply in both equation by number which is lowest common multiple for one of the variable. Then perform the addition or subtraction to eliminate the variable and substitute the that variable in equation and find the other equation

The correct answer is: Elimination


    Here we have to find the first step for the solution.
    Firstly , the equations are,
    3x + 2y = 16    .......(1)
    7x − 2y = 19    ......(2)
    now , solve the equation(1) & equation (2), we have
    3x + 2y = 16
       7x - 2y  = 19
     ____________
         10x = 35
           x = 3.5
    substituting x = 3.5 in equation (1), we get
    y = 2.75
    Elimination method is best to solve the given equation because we can eliminate y by crossed out 2y and -2y.

    In this question, we have to find the first step but the equation is solved by the elimination method. In elimination method you have two equation. we have to multiply in both equation by number which is lowest common multiple for one of the variable. Then perform the addition or subtraction to eliminate the variable and substitute the that variable in equation and find the other equation.

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