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Solve.\newline4x+9y=144x + 9y = 14\newlinex+8y=−8x + 8y = -8\newline(_____, _____)

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Q. Solve.\newline4x+9y=144x + 9y = 14\newlinex+8y=−8x + 8y = -8\newline(_____, _____)
  1. Isolate xx in second equation: Step 11: Use the substitution method to solve for xx and yy. Start by isolating xx in the second equation:\newlinex+8y=−8x + 8y = -8\newlinex=−8−8yx = -8 - 8y
  2. Substitute xx in first equation: Step 22: Substitute xx in the first equation:\newline4(−8−8y)+9y=144(-8 - 8y) + 9y = 14\newline−32−32y+9y=14-32 - 32y + 9y = 14\newline−23y−32=14-23y - 32 = 14
  3. Solve for y: Step 33: Solve for y:\newline−23y=14+32-23y = 14 + 32\newline−23y=46-23y = 46\newliney=46−23y = \frac{46}{-23}\newliney=−2y = -2
  4. Substitute yy back into equation for xx: Step 44: Substitute yy back into the equation for xx:x=−8−8(−2)x = -8 - 8(-2)x=−8+16x = -8 + 16x=8x = 8

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