MATHEMATICS HIGH SCHOOL

The larger of two numbers is 1 more than twice the smaller. The sum of the numbers is 20 less than three times the larger. Find the numbers.

I NEED help please. I'm getting extremely frustrated!!

Answers

Answer 1
Answer: Let x be the larger number; Let y be the smaller number.
EQUATIONS:
x-2y=1
x+y+20=3x
---------
Rewrite as
x-2y=1
2x-y=20
==========

Multiply the 1st equation by 2 to get:
2x-4y=2
Subtract this result from the 1st equation to get:
3y=18
y=6
Substitute that into the 1st equation to get:
x-2*6=1
x=13
-------
Solution: x=13; y=6
Answer 2
Answer:

Answer:

13 and 6

Step-by-step explanation:

Let x = larger number

Let y = smaller number

 

The larger of two numbers is:  x =

one more than twice the smaller: 2y + 1

x = 2y + 1    {equation 1}

 

The sum of the numbers is:  x + y =

20 less than three times the larger: 3x - 20

x + y = 3x - 20

This can be simplified.  Subtract 3x from both sides.

x - 3x + y = -20

-2x + y = -20     {equation 2}

 

Since we already know from equation 1 that x=2y+1, substitute that into equation 2

and solve for y:

 

-2(2y+1) + y = -20

-4y - 2 + y = -20

-3y - 2 = -20

-3y = -18

y = -18/(-3)

y = 6      

 

x = 2y+1 = 2(6)+1 = 12 + 1 = 13

 

Your numbers are 13 and 6

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What is the solution to the linear equation?

6k + 10.5 = 3k + 12

Answers

Answer:  0.5

Step-by-step explanation:

The given equation: 6k + 10.5 = 3k + 12

To solve the above equation for k , we first subtract 3k from both the sides , we get

6k + 10.5 -3k= 3k + 12-3k\n\n\Rightarrow\ 3k+10.5=12

Subtract 10.5 from both sides

3k=12-10.5\n\n\Rightarrow\ 3k=1.5

Divide 3 on both the sides , we get

k=(1.5)/(3)=0.5

Hence,  solution to the linear equation : k = 0.5
6k+10.5=3k+12
     -10.5      -10.5
6k=3k+1.5
-3k  -3k
3k=1.5

Choose a method the find the product 16x60

Answers

the product is 960 because 0x6=0,6×6=36 so 60 times 6 is 360 thenn you go to the bottom & bring down one zero under your first zero ,multiply 1 times the zero which equals 0 ofc & 6×1=6 so it'll be 360 + 600= 960
The answer is 960 because 16 times 60 is =960

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Answers

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Answers

5x+(2x)^2= 168 now solve this

Please help me in this with the steps.

Answers

Answer:

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Answers

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Step-by-step explanation:

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