Question

Write a system of equations with the solution (4,-3)

Answer 1

(4,-3) <---- what does that mean?

Answer 2

Thats the coordinates I believe

Answer 3

coordinates... for?

Answer 4

graph

Answer 5

have you done system of equations yet?

Answer 6

thats what were learning but i have trouble learning that

Answer 7

ok ... lemme quickly write one...

ahh say...
2x + 3y = -1
5x-8y = 44

now lemme graph it -> http://fooplot.com/#W3sidHlwZSI6MCwiZXEiOiIoLTEtMngpLzMiLCJjb2xvciI6IiMzMzFDRTMifSx7InR5cGUiOjAsImVxIjoiKDQ0LTV4KS8oLTgpIiwiY29sb3IiOiIjRUQxNzE3In0seyJ0eXBlIjoxMDAwLCJ3aW5kb3ciOlsiLTQuOTgiLCI4LjAyIiwiLTUuMjIiLCIyLjc4Il19XQ--

Answer 8

can you tell where the 2 lines meet?

Answer 9

(4,-3)

Answer 10

well... what does that mean? well it means that, if we use that for "x" and "y" on BOTH equations, the result will be as indicated by the = sign... so let's check that

\(\large \begin{array}{llll}
2x + 3y = -1\implies 2({\color{red}{ 4}})+3({\color{blue}{ -3}})=-1\implies &8-9=-1\\
5x-8y = 44\implies 5({\color{red}{ 4}})-8({\color{blue}{ -3}})=44\implies &20+24=44
\end{array}\)

so it checks out

Answer 11

so to make any other with whatever coordiinates
all you do is say .... coordinates (3, 13)

so x = 3 y = 13

so I can just plug in whatever in front of it

25x + 3y =
3x-25y =

and then plug in the values for "x" and "y" from the coordinates,and get whatever is they're equals to

Answer 12

Thanks!!

Answer 13

yw