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
HACTEHA [7]
3 years ago
5

3x + 2y = 5 5x + 2y = 7 Based on the given system of equations, which of the following is not true? 2x = 2 8x = 12 4y = 4

Mathematics
1 answer:
weqwewe [10]3 years ago
6 0
<h3>Answer:</h3>

8x = 12

<h3>Explanation:</h3>

Subtracting the first equation from the second, you get ...

... (5x +2y) -(3x +2y) = (7) -(5)

... 2x = 2 . . . . . the first answer choice is true

___

Multiplying this expression for x by 4, we get

... 8x = 8 . . . . . the second answer choice (8x=12) is false

___

Adding thee first equation to the second, you get ...

... (3x +2y) +(5x +2y) = (5) +(7)

... 8x +4y = 12

... 8 + 4y = 12 . . . . . . use the value of 8x just computed

... 4y = 4 . . . . . . . . . . subtract 8; the third answer choice is true

_____

<em>Alternate approaches</em>

In short, if you solve the system by any of the methods available, you find x=1 and y=1, so the second answer choice is clearly the correct one:

... 8x ≠ 12

By Cramer's method:

... x = (2·7-2·5)/(2·5-2·3) = 4/4 = 1

... y = (5·5-7·3)/4 = 4/4 = 1

By graphing, see attached.

By substitution (for 2y):

... 5x +(5-3x) =7 . . . . . using 2y=5-3x

... 2x = 2 . . . . . . subtract 5

... x = 1 . . . . . . . .divide by 2

... 5 -3·1 = 2y = 2 . . . . substitute x into the expression for 2y

... y = 1 . . . . . . . divide by 2

By matrix methods, see the second attachment. (x, y) = (1, 1), found in the rightmost column of the result.

You might be interested in
Please guys solve Ex:4 ,i don't know it​
steposvetlana [31]

Step-by-step explanation:

all you have to doe is type Ex:4 into the calculator and you should get your answer.

6 0
2 years ago
Read 2 more answers
Plz help...................
marissa [1.9K]
The prime number is 53 because the others have factors other than itself and 1 but 53 doesn't
8 0
3 years ago
Read 2 more answers
Can anyone Help me pleasee ?
3241004551 [841]

Answer:

First one

Step-by-step explanation:

.20 is 20% of 100 and there is 5 boxes and 5 times 20 = 100

6 0
2 years ago
What is the length of the rectangular prism if it has a width of 13 meters, a helght of 17 meters, and a volume of 2,873
pentagon [3]

Answer:

The length is 13m.

Step-by-step explanation:

v = lwh \\  \\ 2873 = l(13)(17) \\ 2873 = 221l \\ l = 2873  \div 221 \\ l = 13

6 0
2 years ago
X=2y-4<br>7x+5y=-66 <br> what is the x- value​
Gwar [14]

Answer:

x = -8

Step-by-step explanation:

x = 2y - 4 --- Equation 1

7x + 5y = -66 --- Equation 2

I will be using the substitution method to solve this.

Substitute x = 2y - 4 into Equation 2:

7x + 5y = -66

7(2y - 4) + 5y = -66

Evaluate.

14y - 28 + 5y = -66

Evaluate like terms.

19y - 28 = -66

Isolate 19y.

19y = -66 + 28

     = -38

Find y.

y = -38 ÷ 19

y = -2 --- Equation 3

Substitute y = -2 into Equation 1:

x = 2y - 4

x = 2(-2) - 4

Evaluate.

x = -4 - 4

x = -8

5 0
2 years ago
Other questions:
  • Lmno is a parallelogram if nm = X + 11 and OL = 2x+4 find the value of x and then find NM and OL
    13·1 answer
  • Use the diagram to complete the statement
    11·1 answer
  • Daniel is 16. His parents are both the same age. The 3 of them have lived a 3
    7·1 answer
  • The​ half-life of a certain tranquilizer in the bloodstream is 22 hours. How long will it take for the drug to decay to 90​% of
    6·1 answer
  • Simplify (2√5+3√7)^2
    9·2 answers
  • For a future teachers of America fundraiser,denzell sold food as shown in the table . He sold 11 more subs than pixxasand earned
    13·1 answer
  • Someone plz heals it’s for a quiz plz I am failing
    6·1 answer
  • Solve for x.<br><br> PLEASE HELP!!
    6·2 answers
  • Can you give real life examples on how probability is used to improve our daily life?
    6·1 answer
  • There are eight shirts in your closet, four
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!