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Substitution method. X=y-7 and 3x-4y=-24

User Kingdango
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Final answer:

The question involves solving a system of linear equations using the substitution method. The equations X = y - 7 and 3x - 4y = -24 are solved by substituting y - 7 for X in the second equation, resulting in X = -4 and y = 3 as the solution.

Step-by-step explanation:

The subject of this question is Mathematics, specifically focusing on the use of the substitution method to solve a system of linear equations.

The given system includes the equations X = y - 7 and 3x - 4y = -24. Here's a step-by-step guide to solve the system using substitution:

  1. Start with the provided equations:
    X = y - 7
    3x - 4y = -24
  2. Substitute the expression for X from the first equation into the second equation:
    3(y - 7) - 4y = -24
  3. Simplify and solve for y:
    3y - 21 - 4y = -24
    -y = -24 + 21
    -y = -3
    y = 3
  4. Substitute the value of y back into the first equation to solve for X:
    X = 3 - 7
    X = -4

Therefore, the solution to the system of equations is X = -4 and y = 3.

User Maxcanna
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