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dexar [7]
3 years ago
13

the sum of four times a number and 6 times a second number is 36. The difference between five times the second number and three

times the first number is 49
Mathematics
1 answer:
Irina-Kira [14]3 years ago
6 0
This is a simple system of equations. We first write the words in math as 4x + 6y = 36 and 5y - 3x = 49.

Now we isolate 5 in the second equation to get 5y = 49+3x or y=(49+3x)/5. We can now substitute our value for y into our first equation and simplify.

4x + 6y = 36 is the same as 4x+6((49+3x)/5) = 36.  This can be simplified to 4x+(294+18x)/5 = 36, which is the same as 20x+294+18x = 180.  We can combine like terms to get 38x +294 = 180 or 38x = -114. Now we divide by 38 on both sides to get x = -3.

Now that we have our value for x, we substitute that value into the second equation and solve for y.

5y - 3x = 49 is the same as 5y - 3(-3) = 49 or 5y+9 = 49.  This can be simplified to 5y=40 or y=8.

Our values for x and y are -3 and 8.  Hope this helps!
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3 years ago
Write a linear equation in point-slope form to model the situation below:
Lilit [14]

Answer:

y - 14.95 = 18.075(x-1)

Step-by-step explanation:

If an internet company charges $14.95 per month and a setup fee, then we can say

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If the total cost for 9 months is $159.55

Then we can write both cases as a coordinate (1, 14.95) and (9,159.55)

The equation of a line in point slope form is expresses as

y-y0 = m(x-x0)

Find the slope m

m = 159.55-14.95/9-1

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Substitute m = 18.075 and any of the coordinate in the equation to have;

Using the coordinate (1, 14.95)

y - 14.95 = 18.075(x-1)

Hence a linear equation in point-slope form that model the situation is y - 14.95 = 18.075(x-1)

3 0
2 years ago
Express each ratio as a fraction in the simplest form.<br> 12 beetles out of 18 insects<br> .
slava [35]

Answer:

2/3

Step-by-step explanation:

12/6=2

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3 0
2 years ago
What is the value of a? A) 28 B) 45 C) 62 D) 73
Veronika [31]

The value of a is D)73 I think because 180-107 since a straight line is 180 u just subtract the angle from it. hope this helps.

6 0
3 years ago
Read 2 more answers
Is <br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7B6%7D%20" id="TexFormula1" title=" \frac{3}{6} " alt=" \frac{3}{6} "
STALIN [3.7K]

Hey!

-----------------------------------------

Answer: Yes 3/6 is rational!

-----------------------------------------

Why? Well, because 3 and 6 are integers that don't repeat. 3/6 simplifies to 1/2 or 0.5 which doesn't repeat so it's rational.

-----------------------------------------

Hope This Helped! Good Luck!

8 0
3 years ago
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