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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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Danae is choosing between two jobs. One job pays an annual bonus of $1,500 plus $120 per day worked. The second job pays an annu
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The area of a regular octagon is 35 cm 2 what is the area of a regular octagon with sides three times as large
Maurinko [17]
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Let's calculate area for side = 2
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Now, let's calculate area for side = 6
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<span> <span> 173.824871442 </span> / </span><span><span>19.3138746047 = </span> 9

So, the area would be 9 times larger.

ALSO, looking at the formula
</span>n*side^2 / (4 * tan(180/n))
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3 years ago
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