Question

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

Answer 1

`\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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