MATHEMATICS HIGH SCHOOL

1. Solve and verify each of the following systems of linear equations./3 a. 5x – 2y =- 6 and 2x – y = 1

Answer:

/3 b. 2x + 3y = 432 and 5x – 2y = 16

Answer:

Answers

Answer 1
Answer:

Answer:

A.

5x-2y= -6-------(1)

2x-y= 1------(2)

Equation (1) - 2 × Equation (2)

→5x-2y-4x+2y= -6 -2

Adding and Subtracting like terms

→x= - 8

Putting the value of x in equation 2

→2×(-8) -y =1

→-16 -y=1

Adding 16 on both sides of equation

→-y=16+1

→y = -17

x= -8, and y= -17

B

2x + 3y = 432------(3)

5x – 2y = 16---------(4)

2×Equation (3) + 3 × Equation (4)

→4x+6y+15x-6y=864+48

→19 x=912

Dividing both sides by 19, we get

x=48

Putting the value of x, in equation (3)

2× 48+3y=432

96+3y=432

 3y=432-96

3y=336

Dividing both sides by,3 we get

y=112

Solution set is equal to, x=48,y=112
Answer 2
Answer: 5x - 2y = -6 ⇒ 10x - 4y = -12
2x - 1y =  1 ⇒ 10x - 5y =    5
                                  y = -17
                   5x - 2(-17) = -6
                       5x + 34 = -6
                             - 34 - 34
                               5x = -40
                                5       5
                                 x = -8
                           (x, y) = (-8, -17)

2x + 3y = 432 ⇒ 10x + 15y = 2160
5x + 2y =   16 ⇒ 10x +   4y =     32
                                     11y = 2128
                                      11       11
                                         y = 193.4545455
          2x + 3(193.4545455) = 432
              2x + 580.3636364 = 432
                   - 580.3636364  - 580.3636364
                                       2x = -148.3636364
                                        2                2
                                         x = -74.1818182
                                   (x, y) = (-74.1818184, 193.4545455)

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2x+3=-7 what does x equal

Answers

Answer:-5

Step-by-step explanation:

2x+3=-7

2x=-7-3

x=-10/2

so,

x=-5

Answer: x=-5

Step-by-step explanation: just did the assessment on edge

Given the function f ( x ) = 3 x − 1 , find x when f(x) = 20. Show the work that leads to your answer.

Answers

Answer:

20 = 3x - 1 \n 20 + 1 = 3x \n 21 = 3x \n x = 7

Step-by-step explanation:

first add the one with 20 then divide by 3

Your bowling ball weighs 1414 pounds. How much does it weigh in ounces?

Answers

1 pound equals to 16 ounces then 16 multiply by 1414 answer is 22624

Farmingdale is located 8 mi due west of Cambridge. Bayville is located due east of Cambridge, and Louisville is located due north of Cambridge. Louisville is 17 mi from Farmingdale and 24 mi from Bayville.How far is Bayville from Cambridge? Round to the nearest tenth of a mile.

Answers

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How old am I if 400 reduced by 2 times my age is 244? (answer with steps)

Answers

400 reduced (minus) 2 times my age (2x) is 244 (= 244).

400 - 2x = 244   Subtract 400 from both sides
         -2x = -156   Divide both sides by -2
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Melinda's lights went out. She has 3 pairs of red socks in her drawer 2 pairs of black socks and 5 pairs of white socks . What Is the minimum number of pairs she must remove from the drawer to ensure that she has a pair of each color? a. 3
b. 5
c. 7
d. 9
e. 10

Answers

Melinda must removeatleast 5 pairs of socks to ensure that she has a pair of each color.

Option B is the correct answer.

We have,

To ensure that Melinda has a pair of eachcolor, she needs to remove at least one sock from each color until she has one sock remaining from each color.

Since she has 3 pairs of red socks, 2 pairs of black socks, and 5 pairs of white socks, the minimumnumber of pairs she must remove is the maximum of these numbers.

The maximum among 3, 2, and 5 is 5.

Therefore,

Melinda must removeatleast 5 pairs of socks to ensure that she has a pair of each color.

Learn more about expressions here:

brainly.com/question/3118662

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The answer would be D because she cant be assured that she gets one of each pair if she grabs less.
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