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Elimination (Level 1) Score: 0/1 Penalty: 1 off stem mplete: 29% Question Watch Find the solution of the system of equations. Iy (Lev. 1) {:[-8x+9y=-21],[-3x+9y=-36]:} Answer Attempt 1 out of 2 tions in System

Elimination (Level 11)\newlineScore: 00/11\newlinePenalty: 11 off\newlinestem\newlinemplete: 29% 29 \% \newlineQuestion\newlineWatch\newlineFind the solution of the system of equations.\newlineIy (Lev. 11)\newline−8x+9y=−21−3x+9y=−36 \begin{array}{l} -8 x+9 y=-21 \\ -3 x+9 y=-36 \end{array} \newlineAnswer Attempt 11 out of 22\newlinetions in System

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Q. Elimination (Level 11)\newlineScore: 00/11\newlinePenalty: 11 off\newlinestem\newlinemplete: 29% 29 \% \newlineQuestion\newlineWatch\newlineFind the solution of the system of equations.\newlineIy (Lev. 11)\newline−8x+9y=−21−3x+9y=−36 \begin{array}{l} -8 x+9 y=-21 \\ -3 x+9 y=-36 \end{array} \newlineAnswer Attempt 11 out of 22\newlinetions in System
  1. Stack Equations: First, let's stack the equations to see what we're working with:\newline−8x+9y=−21-8x + 9y = -21\newline−3x+9y=−36-3x + 9y = -36
  2. Eliminate y: We can eliminate y by subtracting the second equation from the first one: (−8x+9y)−(−3x+9y)=−21−(−36) (-8x + 9y) - (-3x + 9y) = -21 - (-36)
  3. Simplify Subtraction: Simplify the subtraction: −8x+9y+3x−9y=−21+36-8x + 9y + 3x - 9y = -21 + 36
  4. Combine Like Terms: Combine like terms: −5x=15-5x = 15
  5. Solve for x: Divide both sides by −5-5 to solve for x:\newlinex=15−5x = \frac{15}{-5}\newlinex=−3x = -3
  6. Substitute xx for yy: Now substitute x=−3x = -3 into one of the original equations to solve for yy. Let's use the first equation:\newline−8(−3)+9y=−21-8(-3) + 9y = -21
  7. Multiply and Solve for y: Multiply −8-8 by −3-3:24+9y=−2124 + 9y = -21
  8. Subtract to Solve for y: Subtract 2424 from both sides to solve for yy: \newline9y=−21−249y = -21 - 24\newline9y=−459y = -45
  9. Divide to Find y: Divide both sides by 99 to find y:\newliney = −459-\frac{45}{9}\newliney = −5-5

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