Solve the system of equations: x = 2uy - 8 4x + y = 13 A)x = 2 and y = -5 B)x = 2 and y = 5 C)x = -2 and y = -5 D)x = -2 and y = 5

Question

asked Apr 10, 2020 76.1k views

1 Answer

Public Static Void · Answer 1 · 2020-04-14T11:47:04+0000

Answer:

$\displaystyle x = 2\:and\:y = 5$

Explanation:

{x = 2y - 8

{4x + y = 13

13 = 4[2y - 8] + y

13 = 8y - 32 + y

13 = −32 + 9y

+ 32 + 32

____________

$\displaystyle (45)/(5) = (9y)/(9)$

$\displaystyle 5 = y$ [Plug this back into both equations above to get the x-coordinate of 2];
$\displaystyle 2 = x$

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