Mathematics
Grade10
Easy

Question

Solve the following using the substitution method and find the value of x and y:
-x + 2y = 9
-5x – 4y = -11

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

Hint:

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

The correct answer is: -1, 4


    Step 1 of 1:
    We have two linear equation
    -x + 2y = 9…………………………. 1
    -5x – 4y = -11………………….. 2
    From 1
    -x + 2y = 9
    -x = 9 -2y
    x = 2y – 9……………………… 3
    Substituting  x value in 2nd equation,
    -5(2y – 9) – 4y = -11
    -10y + 45 – 4y = -11
    -14y + 45 = -11
    -14y = -11 - 45
    -14y = -56
    y = 4
    Substituting y in 3rd equation,
    x = 2(4) – 9
    =8 - 9
    x = -1

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

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