Mathematics
Grade10
Easy

Question

Solve the following using the substitution method and find the value of x and y:
2x + 4y = 16
5x – 3y = -25

  1. 1, 12
  2. 2, 5
  3. -2, 5 
  4. 1, 4

Hint:

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, 4


    Step 1 of 1:
    We have given a linear equation
    2x + 4y = 16
    2(x + 2y) = 16
    x + 2y = 8……………………….. 1
    5x – 3y = -25…………………….. 2
    From 1
    x + 2y = 8
    x = 8 – 2y
    Substituting x in 2nd equation,
    5(8 -2y) – 3y = -25
    40 – 10y – 3y = -25
    40 – 13y = -25
    -13y = -65
    y = 5
    Substituting y in 1st equation,
    x + 2(5) = 8
    x + 10 = 8
    x =-

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

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