Mathematics
Grade10
Easy

Question

Solve the following using the substitution method and find the value of x and y:
4x + y = -9
5x – 3y = 10

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

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, -5


    Step 1 of 1:
    We have given linear equations
    4x + y = -9…………………………. 1
    5x – 3y = 10…………………………… 2
    From 1
    4x + y = -9
    y = -9 – 4x…………………… 3
    Substituting y in 2nd equation,
    5x – 3(-9 – 4x) = 10
    5x  + 27 + 12x = 10
    17x + 27 = 10
    17x = -17
    x  = -1
    Substituting x in 3rd equation,
    y = -9 – 4(-1)
    = -9 + 4
    = -5

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

    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.