Answer:
[tex]x + y = -2\\x-y=8[/tex]
Step-by-step explanation:
3 is the [tex]x[/tex], and -5 is the [tex]y[/tex].
1) Create two equations that add and subtract them.
[tex]x + y = -2\\x-y=8[/tex]
2) Check whether you get the same answer (3,-5) or not. To do so, you need to solve them simultaneously using the elimination or substitution method. I will demonstrate using the substitution method.
[tex]x = -2 - y\\x-y=8\\(-2 - y) -y =8\\-2-2y=8\\-2y = 8 + 2\\-2y = 10\\y = \frac{10}{-2} \\y = -5[/tex]
To find [tex]x[/tex], substitute the result into one of the two equations. I choose [tex]x+y=-2[/tex].
[tex]x-5=-2\\x = -2 +5\\x = 3[/tex]
