Yes, it makes both equations true so
(4,­6) is a solution.
No, it does not make
both equations true
when we plug in (­3,3)
Yes, it makes both equations
true when we plug in (2,3)
Mar 5­8:03 AM
No solution, there are 3 lines (equations)
and at no point do all lines intersect.
Mar 5­8:19 AM
Where the lines intersect shows the exact
point where the baker would break even.
Mar 5­8:06 AM
Mar 5­8:08 AM
Mar 5­8:09 AM
Mar 5­8:10 AM
1
12 quarters and 7 dimes is what
Sanjit has...
Do the math. Does 12 quarters
and 7 dimes equal $3.70?
Insert equations into graphing app, check
the table then....x is the # of weeks. y is the
balance in each account.
An interesting problem. If we make a system of equations and solve, we'd only see that the "solution" gets us to where both accounts are equal. We want Brad's account to be twice Sonya's and know how much each has.
MAKE THE EQUATIONS, then use your
INPUT/OUTPUT TABLES!
Mar 5­8:10 AM
x (# of weeks)
y (Sonya)
y (Brad)
0
200
140
5
250
340
13
330
660
Mar 5­8:11 AM
Use graphing method
Solution is (­3, ­1)
Mar 5­8:12 AM
Mar 5­8:13 AM
If we used elimination method we'd find that each time we eliminated BOTH variables, not just one. Why? Because the equations
are equivalent (pretty much the same value).
So if we graphed them they would have the
exact same line. This means there are
infinite number of solutions to the system
of equations. Mar 5­8:14 AM
2