Mathematics
Grade10
Easy

Question

Solve the following using the substitution method and find the value of x and y:
-x – 4y =16
-5x -5y = 5

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

hintHint:

The linear equation in two variable is an equation with two variable and degree one.

The correct answer is: 4, -5


    Step 1 of 1:
    We have given two equations
    -x – 4y = 16.......(i)
    -5x – 5y = 5........(ii)
    Now, we will rewrite the first equation,
    - x = 16 + 4y
    x = - 4y – 16
    Step 2 of 2:
    Now substitute this value of x in equation (ii)
    -5x – 5y = 5
    -5(-4y – 16) – 5y = 5
    20y + 80 – 5y = 5
    15y + 80 = 5
    15y = -75
    y = -5
    Now, Substitute this value of y in any of equation and get the value of x.
    x = -4(-5) – 16
    x = 20 – 16
    =4

    In the substitution method, we first write one variable in the form of another variable.

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