SOLUTION: I need to come up with 2 equations that will have -10 as one answer and 12 as the other answer. I start out with ax + by = c (c will be the answer -10 for one problem and 12 for

Algebra ->  Expressions-with-variables -> SOLUTION: I need to come up with 2 equations that will have -10 as one answer and 12 as the other answer. I start out with ax + by = c (c will be the answer -10 for one problem and 12 for       Log On


   

Question 191421: I need to come up with 2 equations that will have -10 as one answer and 12 as the other answer.
I start out with ax + by = c (c will be the answer -10 for one problem and 12 for the second problem.)
Help, I have no skill in algebra, my first course in over 20 years and it is very scary!!! thanks so much for the help.
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!


So you want to come up with 2 Line Eqns, which you are on the right track.

Let's start with the basis, Ax + By = C.

With system%28A=1%2CB=1%2CC=%28-10%29%29
---> x + y = -10 (Line 1)


Also, with system%28A=1%2CB=1%2CC=12%29
---> x + y =12 (Line 2)


In (Line 1 ) we Let Fy=0:
x%2B0=-10
red%28x=-10%29, X-Intercept

Let Fx=0:
0%2Bred%28y=-10%29, Y-Intercept

We see the Line 1 in graph:
---> Line 1 with X & Y Intercepts



In Line 2, we do the same thing,
Let Fy=0:
x%2B0=12
red%28x=12%29, X-Intercept

Let Fx=0:
0%2By=12
red%28y=12%29, Y-Intercept

We see graph,
----> Line 2 with X & Y intercepts



*In conclusion, -10 & 12 are the intercepts with A=1 & B=1


Combining Line 1 and Line 2 in the graph:
---> red%28RED=Line1%29; green%28GREEN=Line2%29


Thank you,
Jojo