Question

What is the value of the Y coordinate of the solution to the system of equations x-2y=1 and x+4y=7?

Answer 1

Explanation:

x - 2y = 1

+ (-x - 4y = -7)

_______________________

-6y = -6

-6 -6

We divide -6 both sides of the equation in order to get our answer.

y = 1

Answer 2

`\left\{\begin{array}{ccc}x-2y=1\\x+4y=7&/\cdot(-1)\end{array}\right\\\\+\left\{\begin{array}{ccc}x-2y=1\\-x-4y=-7\end{array}\right\\-----------\\.\ \ \ \ \ \ \ \ \ -6y=-6\ \ \ \ \ /:(-6)\\.\ \ \ \ \ \ \ \ \ \ \ \ \ \ y=1\\\\x-2\cdot1=1\\x-2=1\\x=1+2\\x=3\\\\Answer:\\\left\{\begin{array}{ccc}x=3\\y=1\end{array}\right`