Mathematics
Grade-8
Easy

Question

The sum of two numbers is -4. The sum of 3 times the first number and 4 times the second number is -13. Find the numbers.

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

hintHint:

Sum of two numbers = -4
Let the numbers be x and y
x + y = -4
3x + 4y = -13

The correct answer is: -3, -1


    Sum of two numbers = -4
    Let the numbers be x and y
    x + y = -4…………………………. 1
    3x + 4y = -13……………………… 2
    From 1
    x + y = -4
    x = -4 – y
    Substituting in 2nd equation,
    3(-4 – y ) + 4y  =  -13
    -12 – 3y + 4y = -13
    -12 + y = -13
    y = -1
    Substituting y in 1st equation,
    x  + (-1) =  -4
    x    = -4 + 1
    x = -3
    The correct answer is: -3, -1

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