Mathematics
Grade-8
Easy

Question

Solve the following using the substitution method and find the value of x and y:
-x + 2y = 3
3y = -3

  1. -5, -1
  2. -4, -3
  3. -1, -2
  4. 5, 1

hintHint:

The substitution method is the algebraic method to solve simultaneous linear equations. , in this method, the value of one variable from one equation is substituted in the other equation. In this way, a pair of the linear equation gets transformed into one linear equation with only one variable, which can then easily be solved.

The correct answer is: -5, -1


    In this method, the elimination of the variable can be performed by substituting the value of another variable in an equation. Hence, this method is called the elimination by substitution method.
    -x + 2y = 3 and 3y = -3
    Given:
    -x + 2y = 3  …  (1)
             3y = -3 …(2)
    The equation (2) can be written as
    y = -1 … (3)
    Now, substituting y = -1 in the equation (1), we get
    -x + 2(-1) = 3
    -x = 3 + 2
    x =- 5
    Therefore, the value of x is -5.
    Hence, the solution for the system of linear equations is:
    x = -5 and y= -1
    To check whether the obtained solution is correct or not, substitute the values of x and y in any of the given equations.
    Verification:
    Use Equation (1) to verify the solution
    -x + 2y = 3
    Now, substitute x= -5 and y= -1
    -(-5) + 2(-1) = 3
    5 -2 = 3
    3 = 3
    Here, L.H.S = R.H.S
    Thus, the obtained solution is correct.

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