Rewrite the following equation into slope intercept form 3x - 4y = 20 and identify the slope and y - intercept.
2 answers:
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Answer:
3 pounds of peanuts and 2 pounds of cashews
Step-by-step explanation:
Let x be the pounds of peanuts and y be the pounds of cashews
Greta wants to make 5 pounds of a nut mix using peanuts and cashews.
So, ----- A
Cost of 1 pound of peanuts = $4
Cost of x pounds of peanuts = 4x
Cost of 1 pound of cashews = $9
Cost of y pounds of cashews = 9y
Her budget requires the mixture to cost her $6 per pound
So, cost of mixture of x pounds of peanuts and y pounds of cashews is 6(x+y)
So, --- B
Plot A and B
---Blue
---Green
Refer the attached figure
Intersection point = (x,y)=(3,2)
Hence she should use 3 pounds of peanuts and 2 pounds of cashews
There are many ways to check if the point (1,3) is a solution to the linear equation .
Let us check it by expressing y in terms of x.
The given expression is 5x-9y=32. If we add -5x to both sides we will get:
Multiplying both sides by -1 we will get:
In order to isolate y, we will divide both sides by 9 to get:
Now let us plug in the given value of x=1 from the point (1,3). This should give us y=3. Let us see if we get y=3 when we plug x=1 in the above equation.
Thus, we see that when x=1, y=-3 and that and hence we conclude that the point (1,3) is not a solution to the original given linear equation 5x-9y=32.
For a better understanding of the explanation given here a graph has been attached. As can be seen from the graph, (1,3) does not lie on the straight line that represents 5x-9y=32, but (1,-3) does lie on it as we had just found out.
