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23 July, 17:13

What is the solution to the system of equations

x = y + 4

2x - 3y = - 2

+2
Answers (1)
  1. 23 July, 18:55
    0
    Answer: x = 14 and y = 10

    Step-by-step explanation: What we have in the question is a pair of simultaneous equations as follows (

    x = y + 4 - - - (1)

    2x - 3y = - 2 - - (2)

    Looking at both equations, one of the variables has a coefficient of 1, and as a result of that, we shall use the substitution method.

    From equation (1), x = y + 4

    Substitute for the value of x in equation (2)

    2x - 3y = - 2

    2 (y + 4) - 3y = - 2

    2y + 8 - 3y = - 2

    -y + 8 = - 2

    Subtract 8 from both sides of the equation

    -y + 8 - 8 = - 2 - 8

    -y = - 10

    Divide both sides of the equation by - 1

    y = 10

    Having calculated y, substitute for the value of y into equation (1)

    x = y + 4

    x = 10 + 4

    x = 14

    Therefore, x = 14 and y = 10
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