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Arisa [49]
4 years ago
8

Diego is thinking of two positive numbers, if we triple the first number and double the second number the sum is 34. Diego then

says, "if we take half of the first of the first number and double the second number, the sum is 34. What are Diego’s two numbers?
Mathematics
1 answer:
lord [1]4 years ago
4 0

Answer:

1st number: 0

2nd number: 17

Step-by-step explanation:

3x+2y=34 x is the first number, y is the second.

1/2x+2y=34 multiply each number by two to get rid of the integer by the variable x.

x+4y=68 solve for x.

x=68-4y add this into the first equation to solve for variable y.

3(68-4y)+2y=34 solve for y.

204-10y=34

-10y= -170

y=17

now to solve for x

x= 68-4(17)

x= 0

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QUESTION 1

The point  C(3.6, -0.4) divides AB in the ratio 3 : 2.

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We substitute the known values to obtain:

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This implies that:

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We also use the formula:

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The coordinates of B are (10,-4)

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If point D divides CD in the ratio 4 : 5.

Then the coordinates of D are:

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(\frac{58}{9}, \frac{-18}{9})

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