1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Nikitich [7]
3 years ago
10

Solve the system of equations using the substitution method.

Mathematics
2 answers:
ryzh [129]3 years ago
8 0

Answer:

x

Step-by-step explanation:

vaieri [72.5K]3 years ago
3 0

Answer:

(7, 3 )

Step-by-step explanation:

Given the 2 equations

x = 4y - 5 → (1)

2x + 3y = 23 → (2)

Substitute x = 4y - 5 into (2)

2(4y - 5) + 3y = 23 , that is

8y - 10 + 3y = 23

11y - 10 = 23 ( add 10 to both sides )

11y = 33 ( divide both sides by 11 )

y = 3

Substitute y = 3 into (1) for corresponding value of x

x = 4(3) - 5 = 12 - 5 = 7

solution is (7, 3 )

You might be interested in
How do you solve this equation: -2m+3=|15+m|
Elden [556K]

Any number inside the modulus sign becomes positive. This means |15+m|=|-(15+m)|=|-15-m| and so we have,

-2m+3=|15+m| \Rightarrow \left \Big\{ {{-2m+3=15+m} \atop{-2m+3=-15-m}} \right

Solving these gives us

-2m+3=15+m \Rightarrow m=-4

-2m+3=-15-m \Rightarrow = m=18

However if we check the second solution in the original equation we obtain -2(18)+3=|15+18| \Rightarrow -33=33. This is false and so m=18 can't be a solution.

Therefore the only solution is m=-4.

(Note: I'm not sure why the second solution didn't work but when there's a modulus sign involved it always pays to check your final answers to be sure. I'll have a think about it but in case you find out before I do, I'd be interested to know in the comments.)

8 0
3 years ago
Kofi has 4 meters of fabric that he wants to cut into 5 equal-sized pieces. What is true about the length of each piece of the f
Romashka-Z-Leto [24]

Answer:

Each piece is 4/5 m long

Step-by-step explanation:

Kofi has 4 meters of fabric

he cuts them into 5 pieces

4meters/ 5 pieces = length of each piece

4/5 meters long

6 0
3 years ago
Read 2 more answers
Write the quadratic function in vertex form. Then identify the vertex.
ddd [48]

Answer:

Step-by-step explanation:

To put the equation into vertex form, we need to complete the square

g(x) = (x^2 - 4x + ...) - 1\\g(x) = (x^2-4x+(\frac{4}{2})^2 ) - 1 - (\frac{4}{2})^2 \\g(x) = (x-2)^2 - 5\\

This is in the form

y = a(x-h)^2 + k\\(h, k)

So, the vertex is (2, -5)

and g(x) = (x-2)^2-5

7 0
2 years ago
1. A right triangle is shown below. Use the Pythagorean Theorem to determine the lengths of each side. Phythagorean Theorem: a2
erik [133]
This may not be very pretty.
(2x + 5) * (2x + 5) expanded is (use foil)
F = 4x^2
O = 2x * 5 = 10x
I = 2x + 5 = 10x
L = 25
Total = 4x^2 + 20x + 25

(x + 3)(x + 3) = x^2 + 6x + 9 by the same method

 (2x + 7)(2x + 7) = 4x^2 + 28x + 49 Same method.

4x^2 + 20x + 25 + x^2 + 6x + 9 = 4x^2 + 28x + 49
5x^2 + 26x + 34 = 4x^2 + 28x + 49 Collect everything on the left.
x^2 - 2x - 15 = 0
(x - 5)(x + 3) = 0
x + 3 will have no meaning.
x - 5 = 0
x = 5

2x + 5 = 2*5 + 5 = 15
x + 3 = 5 + 3 = 8
2x+ 7 = 2*5 +7 = 17

Check
15^2 + 8^2 = 17^2
225 + 64 = ? 289
289 = 289

a = 15 <<<<< answer
b = 8 <<<<< answer
c = 17 <<<<< answer
 


5 0
3 years ago
SHOW WORK PLEASE! I WILL GIVE YOU BRAINLIEST IF YOU SHOW! DONT USE LINKS PLEASE!!!
Pavel [41]

Answer:

well if you where talking about the dice the awnser is 6 and if you are tlking about the shirts then you can do 3 times 3 i thik is the right awnser

Step-by-step explanation:

1. a dice is a cube a cube has 6 sides a single number dice is a dice that only has numbers that are by themselves so the awnser can only be on the dice 6 to 9 so now we know that it is 6 now 6 times 2 is 12 because it got rolled twice

2.

8 0
2 years ago
Other questions:
  • Solve the system by substitution.<br> y = -8x – 49<br> y = -1
    12·2 answers
  • HELP ME OUT! A 15 foot ladder rests against a tree on level ground and forms a 75° angle of elevation. Where is the correct loca
    11·1 answer
  • Find the measures of an angle and its complement if one angle measures 24 degrees
    6·1 answer
  • 7 is ten times the value of?
    8·2 answers
  • A children’s sandbox is x feet deep, (10-x) feet wide and (14-x) feet long. What expression would represent the perimeter of the
    5·1 answer
  • In how many ways can you select a committee of 3 students out of 10 students ?
    11·1 answer
  • Can someone help me please
    11·1 answer
  • Last question on the picture
    7·2 answers
  • Christian is starting his own business and last week it cost him $10.38 to ship 6 pounds of merchandise to his customers. His bu
    13·2 answers
  • Luisa is saving money to buy a new laptop computer that costs $460 . She started with $110 and every month she saves $25 . Her s
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!