Question

X+Y=3
X-Y=5
solve each system. Write the answer as an ordered pair. please show steps!!!!

Answer 1

add up

Answer 2

or just think of two numbers that add to 5 and are three apart
you will probably get it on the first try

Answer 3

So do you solve independently of each other?

Answer 4

think of two numbers that add up to 5

Answer 5

for example, 2 and 3 add to 5
but \(3-2=1\) not \(3\) so that is not your answer
try 1 and 4
\(4+1=5\) and \(4-1=3\) so that works

Answer 6

add both sides of the equations together to make another equation

That will allow you to solve x

then use that value of x in either of the original equations - that will solve for y

the solution is (x,y) (the ordered pair)

Answer 7

or you can add in a column
\[x+y=5\\
x-y=3\] add up and get
\[2x=8\] making \(x=4\)

Answer 8

x+y=3 if x =4 then (4, -1)
x-y=5 if x =4 then (??