Mathematics
Grade10
Easy

Question

Solve the following using the substitution method and find the value of x and y:
4x – 4y = 32
4x – 2y = 14

  1. 5, 3
  2. -5, -3
  3. -1, -9 
  4. 1, 2

hintHint:

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

The correct answer is: -1, -9


    Step 1 of 1:
    We have given two linear equation
    4x – 4y = 32....(i)
    4x-2y=14.....(ii)
    Rewrite first equation,
    4(x – y) = 32
    x – y = 8
    y = x – 8
    Substitute the value of y in 2nd equation.
    4x – 2(x - 8) = 14
    4x – 2x + 16 = 14
    2x + 16 = 14
    2x = -2
    x = -1
    Now put the value of x and find the value of x.
    -1 – y = 8
    y = -9

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

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