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andreyandreev [35.5K]
3 years ago
15

Solve the system using substitution. 3x+5y=15 2x+4y=8

Mathematics
1 answer:
Minchanka [31]3 years ago
7 0

Answer:

x=10

y=-3

Step-by-step explanation:

3x + 5y= 15...eqn. 1

2x + 4y= 8...eqn. 2

multiply eqn. 1 by 2 and eqn. 2 by 3

6x + 10y = 30...eqn. 3

<u>6x</u><u> </u><u>+</u><u> </u><u>12y</u><u> </u><u>=</u><u> </u><u>24...eqn. 4</u>

0 - 2y = 6

divide both sides by the coefficient of y which is -2

<u>- 2y</u> = <u>6</u>

- 2 -2

y= -3

Put y= -3 into eqn. 1

3x + 5(-3) = 15

3x - 15 = 15

3x =15 + 15

<u>3x</u> =<u> 30</u>

3 3

x = 10

Therefore X= 10 and Y= -3

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Answer:

Step-by-step explanation:

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Parallel line have the same slope so m= -3/7 for the line that has the point (-3,4).

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line PQ has slope m= -6+1 / 4-6 = -5/-2 = 5/2

Perpendicular lines have their slope negative reciprocal of eachother so the line that goes trough the point (1,3) has the slope m= -2/5

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5 0
3 years ago
A salad made such that the difference between twice the ounces of greens and the ounces of carrots is at least 3. Also, the sum
kap26 [50]

Answer:

3rd graph down

Step-by-step explanation:

greens are x and carrots are y in my equations

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The first equation is solid and will highlight everything to the right of it because it is a >

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on the first graph the points are (0,4)

plugging those into our equation gives us 0 + 2*4 <4

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4 0
3 years ago
Read 2 more answers
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zhenek [66]
Does it mean factor it out??
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3 0
3 years ago
Solve for h.
Luden [163]
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Therefore, the correct answer from the choices listed above is option C, h = p/mg.

Hope this answers the question. Have a nice day. 
4 0
3 years ago
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frutty [35]

Answer:

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Step-by-step explanation:

We are given that Sam drove 'm' no. of miles.

As, it is also given that Kara drove twice as many miles as Sam. Therefore we get that Kara drove '2m' no. of miles.

Now, it is given that Darin drove 20 miles fewer than Kara .i.e. Darin drove '2m - 20' no. of miles.

Hence, in terms of m, Darin drove '2m - 20' miles.

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