Question

x-10y=-3 & 7y-4x=-21. Please show me to find an ordered pair.

Answer 1

you want a solution to both equations right?

Answer 2

in other words, these are two lines the cross at one point... and find that point right?

Answer 3

ill show you the elimination method. we start by stacking them on top of each other and we are going to "eliminate" one of the variables.... its cruel I know, but its gotta be done :)

-4x +7y =-21
x -10y =-3 <- mulitiply this one by (4)

-4x +7y =-21
4x -40y =-12 ; now add the columns together
--------------
0 -33y = -33
^
see what happened here? we eliminated the "x"s now we can solve this for "y"

Answer 4

-33y = -33 ; divide both sides by -33 to get:

-33y/-33 = -33/-33 ; anything over itself = 1

y = 1

Since we know a "solid" value for "y"; plug it into any of the equations and solve for the "x"

Answer 5

x -10y =-3

x -10(1) = -3

x - 10 = -3 ; add 10 to both sides

x -10+10 = -3+10

x-0 = 7

x = 7

your ordered pair is (7,1)

Answer 6

I wll have to look at this. This is something they do not show us in our books. Thank you very much.

Answer 7

youre welcome...

Answer 8

I have some more problems like thisand will use this to see how it works out. Again Thank you.