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Find the missing coordinate to complete the ordered-pair solution to the given linear equation.
5x-4y=27
(a) (-1, ___)
(b) (___,2)
(a) The ordered-pair solution is (-1, ◻)
(b) The ordered-pair solution is (◻,2)

Find the missing coordinate to complete the ordered-pair solution to the given linear equation.\newline5x4y=275 x-4 y=27\newline(a) (1 (-1, ___)\newline(b) (___,2), 2) \newline(a) The ordered-pair solution is (1,) (-1, \square) \newline(b) The ordered-pair solution is (,2) ( \square, 2)

Full solution

Q. Find the missing coordinate to complete the ordered-pair solution to the given linear equation.\newline5x4y=275 x-4 y=27\newline(a) (1 (-1, ___)\newline(b) (___,2), 2) \newline(a) The ordered-pair solution is (1,) (-1, \square) \newline(b) The ordered-pair solution is (,2) ( \square, 2)
  1. Substitute xx into equation: Plug x=1x = -1 into the equation to find yy.\newline5(1)4y=275(-1) - 4y = 27\newline54y=27-5 - 4y = 27
  2. Add 55 to both sides: Add 55 to both sides to isolate the term with yy.4y=27+5-4y = 27 + 54y=32-4y = 32
  3. Divide by 4-4 for yy: Divide both sides by 4-4 to solve for yy.\newliney=324y = \frac{32}{-4}\newliney=8y = -8
  4. Substitute yy into equation: Now, plug y=2y = 2 into the equation to find xx.\newline5x4(2)=275x - 4(2) = 27\newline5x8=275x - 8 = 27
  5. Add 88 to both sides: Add 88 to both sides to isolate the term with xx.\newline5x=27+85x = 27 + 8\newline5x=355x = 35
  6. Divide by 55 for xx: Divide both sides by 55 to solve for xx.x=355x = \frac{35}{5}x=7x = 7

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