If you add the equations in system A we get 6x+7y=32, If we add the equations in system B we get 8x+8y=40. Explain why (3,2) is still a solution to both of these equations.

Step-by-step explanation:

(3,2) is the solution to both equations because if you substitute the the x and y values you get a true statement for example

6(3) + 7(2) =32

18 + 14 = 32

32=32

that is a true statement

you can do the same with system B

8(3) +8(2)=40

24 + 16 = 40

40 =40

which is a true statement

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explanation

the graph has a slope of 1/3 because each time you move up 1, you go to the right 3. so, slope = rise/run = 1/3. we can cross choice a off the list since we want a slope of 3, rather than 1/3.

the first table shown has a slope of -3. this is because the rise is -6 and the run is 2, so slope = rise/run = -6/2 = -3. note how x increases by 2 each time (run) and y drops by 6 each time (rise). choice b can be eliminated.

the second table has a slope of 3. each time x goes up by 1, the y values increase by 3. slope = rise/run = 3/1 = 3. alternatively you can use the slope formula to prove that the slope is 3 here. use any two rows of values to generate the two points. choice c is one of the answers

the third table also has a slope of 3. let's use the slope formula to prove as such. i'm going to use the first two rows of the table. so i'll use the two points (2,1) and (5,10)

m = slope

m = (y2-y1)/(x2-x1)

m = (10-1)/(5-2)

m = 9/3

m = 3 so we get a slope of 3

choice d is the other answer

5.25 ounces

step-by-step explanation:

divided 3/4 and 6