Mathematics
Grade-8
Easy

Question

Solve the following using the substitution method and find the value of x and y:
-4y = -4
-5x = 15

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

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: -3, 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.
     -4y = -4 and -5x = 15
    Given:
    -4y = -4  …  (1)
    -5x = 15 …(2)
    The equation (1) can be written as y = 1 and equation 2 can be written as x = -3
    Hence, the solution for the system of linear equations is:
    x = -3 and y= 1

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