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kobusy [5.1K]
3 years ago
11

You are searching for two integers. The sum of twice the first integer and three times the second integer is nine. At the same t

ime, the sum of three times the first integer and twice the second integer is one. Find the two integers.
Mathematics
1 answer:
devlian [24]3 years ago
4 0

Answer:  -3 and 5

<u>Step-by-step explanation:</u>

Let x represent the 1st digit and y represent the 2nd digit. Then,

Eq 1: 2x + 3y = 9   →    3(2x + 3y = 9)     →     6x + 9y = 27

Eq 2: 3x + 2y = 1   →   -2(3x + 2y = 1)     →     <u>-6x - 4y =  -2</u>

                                                                              5y = 25

                                                                                y =  5

Substitute y = 5 into either of the original equations to solve for x:

2x + 3y = 9

2x + 3(5) = 9

2x + 15 = 9

2x        = -6

 x        = -3

Check (using the other original equation):

3x + 2y = 1

3(-3) + 2(5) = 1

-9    +  10   = 1

        -1       = 1  \checkmark

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In triangle △WXY, XY ≅ WX and m∠X=38 Find m∠W
allsm [11]

Answer:

71^{\circ}

Step-by-step explanation:

Since two sides of the triangle are equal in length, we can conclude that \triangle WXY is an isosceles triangle. With this information, we can draw an isosceles triangle to find m\angle W. Since the base angles of an isosceles triangle are equal, we can solve for m\angle W:

38 + m\angle W + m\angle Y = 180 (Angle sum of triangle is 180^{\circ})

38+2(m\angle W) = 180 (Base angles of isosceles triangles are equal, there is an image attached to show that m\angle W is one of the base angles)

2(m\angle W) = 142

m\angle W=71^{\circ}

Hope this helps :)

5 0
3 years ago
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You previously found an amount of  752.1 which is greater than 521 but less than 1613$: therefore the income tax to withhold is 35.70$ + 15% of excess over $521.

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Varvara68 [4.7K]

Answer:

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Step-by-step explanation:

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