Answer:
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Answer:
36/5
Step-by-step explanation:
x/3 + 6 -2x = -6
multiply the whole equation by 3 to get rid of the denominator of the first x term.
x+18-6x = -18
move x terms to one side and numerical terms to the other, subtract 18 from both sides in this case
x+18-6x-18=-18-18
x-6x = -36
simplify
-5x = -36
divide both sides by -5 to isolate x
x = -36/-5
=36/5
-7x + y = -6 |add 7x to both sides
y = 7x - 6
the slope: m = 7
the y-intercept: y = -6
Tabitha Tidbits costs $7 per bag, and Figaro Flakes is $5.50 per bag.
You need to set up a system of equations. Use "x" for Tabitha Tidbits and "y" for Figaro Flakes, and let the total cost of each trip equal c. Using the equation ax+by=c, substitute the cost of each trip in for c, and the number of bags for each food for a and b respectively. The two equations will be:
3x+4y=43
3x+6y=54
Isolate x in the first equation and you will get:
x=(43-4y)/3
Substitute the above equation for x into the other equation:
3*((43-4y)/3)+6y=54
Isolate y in this equation, and you will get 11/2, which is 5.5
So the cost of one bag of Figaro Flakes is $5.50
Now substitute this into the equation where you isolated x:
(43-4(5.5))/3
You will get x=7, so a bag of Tabitha Tidbits is $7
