MATHEMATICS MIDDLE SCHOOL

What is the solution of the system?Use the substitution method.

{y+7=3x
6x−2y=12

(14, 12)
(12, 14)
There is no solution.
There are an infinite number of solutions.

Answers

Answer 1
Answer:

Answer:  

Choice C) no solutions

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Work Shown:

y+7 = 3x turns into y = 3x-7 after we subtract 7 from both sides

Plug that into the other equation and solve for x

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6x - 2y = 12

6x - 2( y ) = 12

6x - 2( 3x-7 ) = 12 ... y replaced with 3x-7

6x - 2(3x) - 2(-7) = 12

6x - 6x + 14 = 12

0x + 14 = 12

0 + 14 = 12

14 = 12 ... this is a contradiction, aka false statement

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No matter what x value we pick, the equation above will always be false.

Therefore, there are no solutions

We say that this system of equations is inconsistent.

Graphing both equations leads to two parallel lines. A solution only happens if the lines cross, but parallel lines never intersect.

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Answers

First, change the mixed fractions to improper fractions

9x3=27+2=29/9
5x6=30+5=35/6

Now we have 35/6 + 29/9, but we need to make the denominators equal in order to add.

35/6 x 3/3= 105/18
29/9 x 2/2= 58/18

Now we just need to add

58/18 + 105/18 = 163/18

163/18 would be your answer.
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Answers

Impossible; the only possible products greater than 25 (30 and 36) are even.

Is 2/3 greater than or less than 2/6

Answers

2/3 is greater than 2/6
12  6
 2   2
 3    6
12 is bigger than 6
Hope this helps, enjoy your day! 
2/3 is greater than 2/6

the area of a rectangle is 56 square inches. the width of the rectangle is 7 in. What is the length?

Answers

The area of a rectangle is length times width.  7 is the width so you divide 56 by 7 to find the length which is 8.  The length is 8 inches.

Isaac drinks 8 glasses of water each day he says he will drink 2920 glasses of water in a year that has 364 days

Answers

He is wrong 8x364= 2912
But if it is using a full year (365 days). Then yes he is correct 8x365= 2920

Write an equation you can use to find the length of the rectangle

Answers

we just need to know the perimeter
so say we only know the width 
which is 10
and the perimeter which is 30
hint( perimeter is all of the sides added up
anyways so we know that theres 2 sides that are ten so that gives us 
30 - 20 = 10
but there are 2 more sides to lets divide by 2 
10 ÷ 2 = 5 
so the length would be 5 
heres the equation
P = perimeter 
W = width
L = length
soooo
P - 2w = L ÷ 2

:P hope this helps
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