Question

What is the solution to the following system of equations? x+y=5
x-y=1

Answer 1

Answer:

(3,2)

Step-by-step explanation:

Let's solve this via elimination method:

$\begin{cases} x+y=5\\x-y=1\end{cases}$

By subtracting equation 2 from equation one we obtain:

$\begin{cases} x+y=5\\-(x-y=1)\end{cases}\\\\0x+2y=4\\\\y=2$

Next we can use any equation either 1 or 2 to determine what x is, I'll use equation 1.  Let y=2 and so:

$x+y=5\\\\x+2=5\\x=5-2\\\\x=3$

Therefore the solution for the system of equations is:

x=3 and y = 2 as an ordered pair we have (3,2)