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

Hint:

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.

    Related Questions to study

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.