Which of these strategies would eliminate a variable in the system of equations? {[5x+3y=9],[4x-3y=9]:} Choose 1 answers: A Subtract the bottom equation from the top equation. B Subtract the top equation from the bottom equation. c Add the equations.

Analyze system of equations: Analyze the system of equations to determine which strategy would eliminate a variable. We have the system of equations: 5x + 3y = 9 4x - 3y = 9 We notice that the coefficients of y in both equations are additive inverses of each other (3 and -3). This means that adding the two equations will eliminate the y variable.Perform chosen operation: Perform the chosen operation to check if it eliminates a variable. Adding the two equations: (5x + 3y) + (4x - 3y) = 9 + 9 5x + 4x + 3y - 3y = 18 9x = 18 This operation eliminates the y variable, leaving an equation with only x.Verify other strategies: Verify that the other strategies do not eliminate a variable more efficiently. Subtracting the bottom equation from the top equation: (5x + 3y) - (4x - 3y) = 9 - 9 5x - 4x + 3y + 3y = 0 x + 6y = 0 This operation does not eliminate a variable. Subtracting the top equation from the bottom equation: (4x - 3y) - (5x + 3y) = 9 - 9 4x - 5x - 3y - 3y = 0 -x - 6y = 0 This operation also does not eliminate a variable.

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Which of these strategies would eliminate a variable in the system of equations?

{[5x+3y=9],[4x-3y=9]:}
Choose 1 answers:
A Subtract the bottom equation from the top equation.
B Subtract the top equation from the bottom equation.
c Add the equations.

Which of these strategies would eliminate a variable in the system of equations? $\newline$ $\left\{\begin{array}{l} 5 x+3 y=9 \\ 4 x-3 y=9 \end{array}\right.$ $\newline$ Choose $1$ answers: $\newline$ (A) Subtract the bottom equation from the top equation. $\newline$ (B) Subtract the top equation from the bottom equation. $\newline$ (C) Add the equations.

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Math Problems

Algebra 2

Solve a system of equations using elimination

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Q. Which of these strategies would eliminate a variable in the system of equations?

\newline

\left\{\begin{array}{l} 5 x+3 y=9 \\ 4 x-3 y=9 \end{array}\right.

\newline

Choose

1

answers:

\newline

(A) Subtract the bottom equation from the top equation.

\newline

(B) Subtract the top equation from the bottom equation.

\newline

Analyze system of equations: Analyze the system of equations to determine which strategy would eliminate a variable. $\newline$ We have the system of equations: $\newline$ $5x + 3y = 9$ $\newline$ $4x - 3y = 9$ $\newline$ We notice that the coefficients of $y$ in both equations are additive inverses of each other ( $3$ and $-3$ ). This means that adding the two equations will eliminate the $y$ variable.
Perform chosen operation: Perform the chosen operation to check if it eliminates a variable. $\newline$ Adding the two equations: $\newline$ $(5x + 3y) + (4x - 3y) = 9 + 9$ $\newline$ $5x + 4x + 3y - 3y = 18$ $\newline$ $9x = 18$ $\newline$ This operation eliminates the $y$ variable, leaving an equation with only $x$ .
Verify other strategies: Verify that the other strategies do not eliminate a variable more efficiently. $\newline$ Subtracting the bottom equation from the top equation: $\newline$ $(5x + 3y) - (4x - 3y) = 9 - 9$ $\newline$ $5x - 4x + 3y + 3y = 0$ $\newline$ $x + 6y = 0$ $\newline$ This operation does not eliminate a variable. $\newline$ Subtracting the top equation from the bottom equation: $\newline$ $(4x - 3y) - (5x + 3y) = 9 - 9$ $\newline$ $4x - 5x - 3y - 3y = 0$ $\newline$ $-x - 6y = 0$ $\newline$ This operation also does not eliminate a variable.