Answer:
y = 4, x = -5
Step-by-step explanation:
[tex]x + 2y = 3\\y = 2x + 14\\[/tex]
We can solve for x
[tex]x = 3 - 2y\\[/tex]
We can then substitute it into the second equation
[tex]y = 2(3-2y) + 14\\y = 6 - 4y + 14\\5y = 20\\y = 4[/tex]
y = 4, so we can plug that back into the first equation:
[tex]x + 2(4) = 3\\x + 8 = 3\\x = -5\\[/tex]
We can double check:
[tex]4 = 2(-5) + 14\\4 = -10 + 14\\14 = 14\\[/tex]
Since it is true, we know it works
