Mathematics
Grade10
Easy

Question

Solve the following using the substitution method and find the value of x and y:
-5x = 25
3x + 5y = -35

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

hintHint:

In the question, two equations are given and we need to find the values of x and y using the substitution method.

The correct answer is: -5, -4


    Step by step solution:
    negative space 5 x space equals space 25
rightwards double arrow negative x space equals 25 over 5 equals space 5
rightwards double arrow x space equals space minus 5
    [ signs change in both sides of the equation]
    Now, we will substitute the value of x in the second equation.
    3 x space plus space 5 y space equals space minus 35
rightwards double arrow space 3 left parenthesis negative 5 right parenthesis space plus space 5 y space equals space minus 35
rightwards double arrow negative 15 space plus space 5 y space equals space minus 35
rightwards double arrow 5 y space equals space minus 35 space plus space 15
rightwards double arrow 5 y space equals space minus 20
rightwards double arrow y equals space minus 20 over 5 equals space minus 4
rightwards double arrow y space equals space minus 4
    Thus, x = - 5 and y = - 4 (answer)
    Hence, option(d) is the correct option.

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