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Setler79 [48]
3 years ago
6

Find the equation of the line parallel to 5x-2y=2 that passes through point (-4,-3)

Mathematics
1 answer:
denis-greek [22]3 years ago
8 0

A very quick way of solving this problem is to recognize and use the fact that a line parallel to 5x-2y=2 has an equation which is exactly the same as 5x-2y=2 except for the constant.

Replace that 2 (on the right side of the equation) with C, and x with -4, and y with -3:


5(-4)-2(-3)=C

and find C.  C = -20 + 6 = -14.

Therefore, the equation of the line parallel to 5x-2y=2 passing thru the point (-4, -3) is 5x-2y= -14.  Notice how only the constant changes.



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b / (b - 8)

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A company produces and sells widgets and gizmos. In January the company sold 350 items for a total of $9,000. If each widget sol
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Answer:

The company sold 100 widgets and 250 gizmos.

Step-by-step explanation:

Let x_1 be the number of widgets sold and x_2 be the number of gizmos sold.

We are told that the company sold 350 items. We can represent this information in an equation as:

x_1+x_2=350...(1)

We have been given that a each widget sold for $35 and each gizmo sold for $22. The company sold 350 items for a total of $9,000.

We can represent this information in an equation as:

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From equation (1), we will get:

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Substitute this value in equation (2):

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13x_1+7,700-7,700=9,000-7,700

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