Solve each linear system by elimination, substitution 5x-4y+13=0,

7x-y+9=0

5x - 4y + 13 = 0

- 13 - 13

5x - 4y = - 13

5x - 5x - 4y = - 5x - 13

-4y = - 5x - 13

-4 - 4

y = 1¹/₄x + 3¹/₄

7x - y + 9 = 0

- 9 - 9

7x - y = - 9

7x - 7x - y = - 7x - 9

-y = - 7x - 9

-1 - 1

y = 7x + 9

1¹/₄x + 3¹/₄ = 7x + 9

- 1¹/₄x - 1¹/₄x

3¹/₄ = 5³/₄x + 9

-9 - 9

-6¹/₄ = 5³/₄x

5³/₄ 5³/₄

-1²/₂₃ = x

y = 7x + 9

y = 7 (-1²/₂₃) + 9

y = - 7¹⁴/₂₃ + 9

y = 2¹⁴/₂₃

(x, y) = (-1²/₂₃, 2¹⁴/₂₃)