Mathematics
Grade10
Easy

Question

The first step in finding the solution with elimination is ________________
7x + 5y = -9
-3x - 5y = 5

  1. Cross out the 5y and -5y
  2. Cross out the 7x and -3x
  3. Change all the signs of the second equation
  4. Add -9 and 5

hintHint:

In this question we have to find the first step in finding the solution with elimination . where the equations are 7x + 5y = -9 and -3x -5y =5. 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: Cross out the 5y and -5y


    The first step in finding the solution with elimination is cross out the 5y and -5y.
    Here we have to find the first step for the solution.
    Firstly , the equations are
    7x + 5y = -9 --(1)
    -3x -5y =5
    1. 3x + 5x = -5 --(2) [ mult. Both side by -1 ]
    Now , subtract eq(2) from eq (1) , we have
    2. 7x + 5y = -9
    - 3x + 5y = -5
    _____
    4x = -4
    x = -1
    substituting x = -1 in equation (1), we have
    3. 7x + 5y = -9
    7 x -1 + 5y = -9
    -7 + 5y = -9
    5y = -9 + 7
    5y = -2 => y = -2/5
    Therefore, the first step in finding the solution is change all the sign of the second equation.
    The correct answer is Change all the signs of the second equation.

    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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