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lana [24]
3 years ago
12

What is 2x + 3y = 13 x = 2 + 3y

Mathematics
2 answers:
IgorC [24]3 years ago
4 0

Answer:

Step-by-step explanation:

Given that

2x+3y=13. Equation 1

x=2+3y. Equation 2

Using substitution method

Substitute x in equation 2 to equation 1

2x+3y=13

2(2+3y)+3y=13

4+6y+3y=13

4+9y=13

9y=13-4

9y=9

y=9/9

y=1.

To get x, substitute y=1 into equation 2

x=2+3y

x=2+3(1)

x=2+3

x=5

Then, x=5 and y=1 is the solution to the simultaneous equation

Zanzabum3 years ago
3 0

Answer:

y = 1

x = 5

Step-by-step explanation:

Substitute:

2(2 + 3y) + 3y = 13

Simplify:

4 + 6y + 3y = 13

Combine terms:

4 + 9y = 13

Subtract 4 from each side:

9y = 9

Divide by 9:

y = 1

Substitute:

x = 2 + 3(1)

Simplify:

x = 2 + 3

Combine terms:

x = 5

Check with original equation:

2(5) + 3(1) = 13

Simplify:

10 + 3 = 13

Combine terms:

13 = 13

It works!

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PLEASE HELP! THANKS! The measures, in degrees, of the 3 angles of a triangle are given by 2x +1, 3x - 3, and 9x. What is the mea
drek231 [11]
So all of the internal angles of a triangle will add up to 180 degrees.  So if we add all of the expressions given and set them equal to 180, we can solve for x, then solve for each angle...

(2x + 1) + (3x - 3) + 9x = 180
2x + 3x + 9x + 1 - 3 = 180
14x - 2 = 180
14x = 182
x = 13

Now we can substitute 13 into each expression to find the value of each angle...

2x + 1 =
2(13) + 1 =
26 + 1 = 27 degrees

3x - 3 =
3(13) - 3 =
39 - 3 = 36 degrees

9x =
9(13) = 117 degrees

So the 3 angles are 27 degrees, 36 degrees, and 117 degrees.

The smallest is 27 degrees

** Note-- I don't see 27 degrees in the answer choices you gave, so I double checked my math (I didn't find any mistakes).  Please check to see that the question is written correctly (pay close attention to plus and minus signs).
7 0
4 years ago
In line 73, the author compares Mrs. Deverell to
adell [148]

The correct option is (B) show that Mrs. Deverell continues to be diminished in her new home.

<h3>What does line 73 described?</h3>

In line 73, the author compares Mrs. Deverell to an "intimidated child" primarily in order to -

  • Mrs. Deverell had no part to perform in her forever residence with Angel—all housekeeping work were to be left to a servants alone, and all other obligations were to be taken over from Angel.
  • Mrs. Deverell would given situation wander all around house, bored, when she had nothing to do.
  • The author utilizes the metaphor of a scared child in this situation.
  • As a result, this analogy conveys to the reader Mrs. Deverell's limited status in her new home.

Therefore, according to the writer; in the line 73 the best description for the intimidated child is shown by option B.

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5 0
1 year ago
Cting Polynomials: Practice
Colt1911 [192]

The option that's true regarding the sum and difference of the polynomial p(x) and b is B. The sum and difference of p(x) and b are polynomials.

<h3>How to illustrate the information?</h3>

From the information given, it was stated that p(x) is a polynomial and is given as p(=) = a₁ + a₁ + a₂=² + ... + an.

In this case, it should be noted that the sum and difference of p(x) and b are polynomials.

They can't be integers as the function given is represented as a polynomial.

In conclusion, the correct option is B.

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7 0
2 years ago
Find the number of ways you can arrange (a) all of the letters and (b) two of the letters in the word TRY. a. The number of ways
Phantasy [73]

Answer:

a) 6 ways

b) 6 ways

Step-by-step explanation:

a) for all of the letters

for the first letter, we have 3 options

for the second, we have 2 options

for the third, we have 1 option

So the number of options will be;

3 * 2 * 1 = 6

b) for the first, we have 3 options, for the second, we have 2 options

so the number of options will be 3 * 2 = 6 options

8 0
3 years ago
What is the slope of the line of best fit?
Ierofanga [76]

Step-by-step explanation:

The line passes through the origin and point (30,3)

so, slope of the graph( miles per minute)= 3/30 = 1/10 miles per minute

Or, slope of the graph miles per hour

=  \frac{3}{ \frac{30}{60} }  =  \frac{3 \times 60}{30}  = 6

option B

7 0
3 years ago
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