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Solve using elimination.\newline−6x+7y=−16-6x + 7y = -16\newlinex+7y=19x + 7y = 19\newline(_____, _____)

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Q. Solve using elimination.\newline−6x+7y=−16-6x + 7y = -16\newlinex+7y=19x + 7y = 19\newline(_____, _____)
  1. Align Equations for Elimination: Step 11: Align the equations for elimination.\newlineGiven equations:\newline−6x+7y=−16-6x + 7y = -16\newlinex+7y=19x + 7y = 19\newlineWe aim to eliminate yy by making the coefficients of yy in both equations equal and opposite. Multiply the second equation by 66.\newlineCalculation: 6(x+7y)=6(19)6(x + 7y) = 6(19)\newline6x+42y=1146x + 42y = 114
  2. Add Equations to Eliminate yy: Step 22: Add the modified second equation to the first equation to eliminate yy.\newline−6x+7y=−16-6x + 7y = -16\newline6x+42y=1146x + 42y = 114\newlineAdding these equations:\newline(–6x+6x)+(7y+42y)=–16+114(–6x + 6x) + (7y + 42y) = –16 + 114\newline0x+49y=980x + 49y = 98
  3. Solve for y: Step 33: Solve for y.\newline49y=9849y = 98\newliney=9849y = \frac{98}{49}\newliney=2y = 2
  4. Substitute to Find xx: Step 44: Substitute y=2y = 2 back into one of the original equations to find xx. Using the second equation: x+7y=19x + 7y = 19 x+7(2)=19x + 7(2) = 19 x+14=19x + 14 = 19 x=19−14x = 19 - 14 x=5x = 5

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