EathenJ593687 EathenJ593687
  • 31-10-2022
  • Mathematics
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Use substitution in the system of equations. What is the value of x in both equations?A. 3B. -6C. 6D. 2

Use substitution in the system of equations What is the value of x in both equationsA 3B 6C 6D 2 class=

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DesireQ24628 DesireQ24628
  • 31-10-2022

Given the following question:

[tex]\begin{gathered} 3x+2y=-12 \\ x=4y-18 \end{gathered}[/tex][tex]\begin{gathered} 3x+2y=-12 \\ x=4y-18 \\ \text{ Substitute x=4y - 18 into the first equation:} \\ 3(4y-18)+2y=-12 \\ 18-4=14y \\ 14y-54=-12 \\ -12+54=42 \\ y=3 \\ \text{ Substitute to find x} \\ x=4\times3-18 \\ 4\times3=12 \\ 12-18=-6 \\ x=-6,y=3 \\ x=-6 \end{gathered}[/tex]

Option B is your answer.

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