Mathematics
Grade10
Easy

Question

Solve the following using the substitution method and find the value of x and y:
x – 5y = 12
x – y = 4

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

hintHint:

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

The correct answer is: 2, -2


    Step 1 of 1:
    We have given two equations
    x – 5y = 12……………………… 1
    x – y = 4………………………. 2
    From 2
    x – y = 4
    x = 4 + y
    Substituting x in 1st equation,
    (4+y) – 5y = 12
    4 + y - 5y    =12
    4 - 4y       =12
    -4y = 8
    y = -2
    Substituting in 2nd equation,
    x - (-2) = 4
    x + 2 = 4
    x = 2

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

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