Answer:
x = 136/11
, y = 68/11
Step-by-step explanation:
Solve the following system:
{6 x - y = 68
2 y = x
Hint: | Choose an equation and a variable to solve for.
In the second equation, look to solve for x:
{6 x - y = 68
2 y = x
Hint: | Reverse the equality in 2 y = x in order to isolate x to the left hand side.
2 y = x is equivalent to x = 2 y:
{6 x - y = 68
x = 2 y
Hint: | Perform a substitution.
Substitute x = 2 y into the first equation:
{11 y = 68
x = 2 y
Hint: | Choose an equation and a variable to solve for.
In the first equation, look to solve for y:
{11 y = 68
x = 2 y
Hint: | Solve for y.
Divide both sides by 11:
{y = 68/11
x = 2 y
Hint: | Perform a back substitution.
Substitute y = 68/11 into the second equation:
{y = 68/11
x = 136/11
Hint: | Sort results.
Collect results in alphabetical order:
Answer: {x = 136/11
, y = 68/11
<h2>
Answer:</h2>
Figure B
<h2>
Step-by-step explanation:</h2>
The Pythagorean Theorem is 
, where c is the longest side of the triangle (the hypotenuse).
To find the side length of each square, you have to square root the area of each square. This means that Figure A has side lengths of 3, 6 and 8 units. Figure B has side lengths of 5, 12 and 13 units.
In Figure A, if the triangle is right-angled, the equation 
must be correct. 9 + 36 = 45. 45 is not equal to 64, so the triangle is not right-angled.
In Figure B, if the triangle is right-angled, the equation 
must be correct. 25 + 144 = 169. 169 is 13 squared, so the triangle is right-angled.
Alternatively, as you are already given the square values for each side length, there is no need to square root and square again. You can just test if the two smaller areas equal the larger area, but the explanation above uses a more detailed example of the Pythagorean Theorem.
Answer:
No, the given sequence is not arithmetic.
Step-by-step explanation:
The given sequence is
The first term is 5.
A sequence is an arithmetic, if the difference between any two consecutive terms are same.
The difference between terms are
Since the difference between consecutive terms are not same, therefore given sequence is not arithmetic.
Answer:
Step-by-step explanation:
Remark
You have to convert one of the numbers. It doesn't matter which one, but you can't simply divide one into the other the way the numbers stand.
Conversion
20 kilograms = 20 * 1000 grams / kg
20 kilograms = 20000 grams
Formula
Number of books = mass of bookcase / mass of 1 book
Givens
number of books = ??
mass of bookcase = 20000 grams
mass of one book = 500 grams
Solution
number of books = 20000 / 500
number of books = 40
Answer: 40 books = mass of bookcase
Set the two equations equal to each other and solve for X
