She has 445 left after the bear ate some so
21 × 12 = 252
252 + 445 = 697 acorns
she should maybe bother the bear so he can't hibernate, or steal his food so he knows what it's like
Answer:
then 2x = 0 and x - 3 = 0
Step-by-step explanation:
Answers:
So the solution is (x,y) = (4, -1)
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Work Shown:
6x + 7y = 17
6x + 7( y ) = 17
6x + 7( -3x+11 ) = 17 ... replace every copy of y with -3x+11
6x - 21x + 77 = 17
-15x = 17-77
-15x = -60
x = -60/(-15)
x = 4
We'll use this x value to find y
y = -3x+11
y = -3(4)+11 ... replace x with 4
y = -12+11
y = -1
We have x = 4 and y = -1 pair up together to give us the solution (x,y) = (4, -1)
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To check the solution, we plug x = 4 and y = -1 into each equation
Plugging the values into the first equation leads to...
y = -3x+11
-1 = -3(4)+11
-1 = -1
This is effectively already done in the last part of the previous section. But it doesn't hurt to verify like this regardless.
We'll need to verify the second equation as well.
6x + 7y = 17
6(4) + 7(-1) = 17
24 - 7 = 17
17 = 17
We get a true equation, so the solution is confirmed with both equations. Overall, the solution to the system of equations is confirmed. This system is independent and consistent.
Setting it up, we have Dan + Bret + Maria all saving 600.00
Dan = 2B
Bret = B
Maria = B+60
2B + B + B + 60 = 600
4B = 540
B = 135
Dan = 2(135) = 270
Brett = 135
Maria = 135 + 60 = 195