Mathematics
Grade10
Easy

Question

The difference of 5 times x and 4 times y is 1. And the difference of 2 times x and y is -2. Find the value of x and y.

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

hintHint:

An equation with the maximum order of 1 and an equation of a straight line is called the linear equation. 

The correct answer is: -1, -2


    Step 1 of 1:
    We have given the difference of 5 times x and 4 times is 1. And the difference of 2 times x and y is -2.
    5x – 4y = 1……………………….. 1
    2x - y = -2……………………… 2
    From 2
    2x – y = -2
    -y = -2 – 2x
    y = 2x + 2
    Substituting y in 1st equation,
    5x – 4(2x + 2) = 1
    5x – 8x - 8 = 1
    -3x - 8 = 1
    -3x = 9
    x = -1
    y = 2x + 2
    = 2(-1) + 2
    =-4 + 2
    = -2

    The substitution method is the algebraic method to solve simultaneous linear equations

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