Question

Solve the system of equations:

Answer 1

Answer:

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

Step-by-step explanation:

{x = 2y - 8

{4x + y = 13

13 = 4[2y - 8] + y

13 = 8y - 32 + y

13 = −32 + 9y

+ 32 + 32

____________

$\displaystyle \frac{45}{5} = \frac{9y}{9}$

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

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