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Which of these strategies would eliminate a variable in the system of equations? {[2x-5y=13],[-3x+2y=13]:} Choose 1 answers: A Multiply the top equation by 3 , multiply the bottom equation by 2 , then add the equations. B Subtract the bottom equation from the top equation. c Multiply the top equation by 2 , multiply the bottom equation by 3 , then add the equations.

Which of these strategies would eliminate a variable in the system of equations?\newline{2x−5y=13−3x+2y=13 \left\{\begin{array}{l} 2 x-5 y=13 \\ -3 x+2 y=13 \end{array}\right. \newlineChoose 11 answers:\newline(A) Multiply the top equation by 33 , multiply the bottom equation by 22 , then add the equations.\newline(B) Subtract the bottom equation from the top equation.\newline(C) Multiply the top equation by 22 , multiply the bottom equation by 33 , then add the equations.

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Q. Which of these strategies would eliminate a variable in the system of equations?\newline{2x−5y=13−3x+2y=13 \left\{\begin{array}{l} 2 x-5 y=13 \\ -3 x+2 y=13 \end{array}\right. \newlineChoose 11 answers:\newline(A) Multiply the top equation by 33 , multiply the bottom equation by 22 , then add the equations.\newline(B) Subtract the bottom equation from the top equation.\newline(C) Multiply the top equation by 22 , multiply the bottom equation by 33 , then add the equations.
  1. Analyze the system: Analyze the given system of equations to determine which strategy would eliminate a variable.\newlineThe system of equations is:\newline2x−5y=132x - 5y = 13\newline−3x+2y=13-3x + 2y = 13
  2. Option A: Multiply and add: Consider option A: Multiply the top equation by 33, multiply the bottom equation by 22, then add the equations.\newlineMultiplying the first equation by 33 gives us:\newline3(2x−5y)=3(13)3(2x - 5y) = 3(13)\newline6x−15y=396x - 15y = 39\newlineMultiplying the second equation by 22 gives us:\newline2(−3x+2y)=2(13)2(-3x + 2y) = 2(13)\newline−6x+4y=26-6x + 4y = 26
  3. Check elimination of x: Add the new equations from Step 22 to see if 'x' is eliminated.\newline(6x−15y)+(−6x+4y)=39+26(6x - 15y) + (-6x + 4y) = 39 + 26\newline6x−6x−15y+4y=656x - 6x - 15y + 4y = 65\newline0x−11y=650x - 11y = 65\newlineThis eliminates the variable 'x'.
  4. Confirm option A: Check the other options to confirm that option A is the correct strategy.\newlineOption B: Subtracting the bottom equation from the top equation will not eliminate either variable.\newlineOption C: Multiplying the top equation by 22 and the bottom equation by 33 will result in:\newline4x−10y=264x - 10y = 26\newline−9x+6y=39-9x + 6y = 39\newlineAdding these equations will not eliminate either variable.

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