Question

X+2y=3

Y=2x+14 solve the system by the substitution method

Answer 1

y = 4, x = -5

Explanation:

`x + 2y = 3\\y = 2x + 14\\`

We can solve for x

`x = 3 - 2y\\`

We can then substitute it into the second equation

`y = 2(3-2y) + 14\\y = 6 - 4y + 14\\5y = 20\\y = 4`

y = 4, so we can plug that back into the first equation:

`x + 2(4) = 3\\x + 8 = 3\\x = -5\\`

We can double check:

`4 = 2(-5) + 14\\4 = -10 + 14\\14 = 14\\`

Since it is true, we know it works