Mathematics
Grade10
Easy

Question

Solve by elimination:
4x + 9y = 28
-4x - y = -28

  1. (-7,0)
  2. (6,0)
  3. (-6,0)
  4. (7,0)

hintHint:

Here we have to solve the pair of linear equations by elimination. The equation are 4x + 9y = 28 and -4x -y = 28. 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: (7,0)


    Here we have to solve the system of equation that 4x + 9y = 28 and -4x -y = 28 by elimination method.
    Firstly we have two equations,
    4x + 9y = 28 ...(1)
    -4x -y = 28 ...(2)
    Adding (1) and (2),
    x=7
    Substituting x=7 in (1), we get y as
    4x + 9y = 28
    4(7) + 9y = 28
    28 + 9y=28
    y = 0
    Therefore, the solution of following pair linear equation is x= 7 and y = 0.
    The correct answer is x= 7 and y = 0.

    In this question , we have give two linear equation and we have to solve it by 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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