Question

Solve the system.

5x+8y=41
x-y=3

(x,y)=

Answer 1

Lets use substitution here ;)

Answer 2

In your second equation "x - y = 3"
can be re-written as
x = 3 + y

Correct?

Answer 3

Now lets substitute the concluded equation "x = 3 + y" into the equation "5x + 8y = 41"

Answer 4

That'd give us:
5 (3 + y) + 8y = 41

Answer 5

Now simply simplify.
Distribute 5 to (3 + y) giving us :
15 + 5y + 8y = 41
Then collect like terms..
15 + 13y = 41
Bring 15 to the other side by substracting..
13y = 41 - 15
13y = 26
Divide by 13 on both sides
y = 2

Answer 6

if y=2 what does x=

Answer 7

Now substitute y = 2 into the original equation "5x + 8y = 41" giving us
5x + 8(2) = 41

Now simplify this, and you will get your "x"
Simply arrange them into the ordered pair in the designated places, as (x, y)

Answer 8

Sorry sweetie, I wont be completing the work for what "x" equals. Give it a try, and if you need help, I shall guide you through it. =)

Answer 9

x=5

Answer 10

Correct! Great work ;)

Answer 11

Our last step is listing this as an ordered pair..

Answer 12

and that would conclude as our final answer =)

Answer 13

ok