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
Gwar [14]
2 years ago
5

Solve the system of linear equations using any method 6x+6y=-6, 5x+y=-13

Mathematics
2 answers:
Sergio [31]2 years ago
8 0

Answer:

x=-3

y=2

Step-by-step explanation:

To solve this problem you can use the elimination method:

- Multiply the second equation by -6:

(-6)5x+y=-13\\-30x-6y=78

- Add both equations:

6x+6y=-6\\-30x-6y=78\\-------\\-24x=72\\x=-3

- Substitute the value of x into one of the original equations and solve for y:

6(-3)+6y=-6\\-18+6y=-6\\6y=12\\y=2

Ostrovityanka [42]2 years ago
5 0

Answer:

x = -3 and y = 2 is the solution.

Step-by-step explanation:

we have given system of equations:

6x+6y=-6           equation I

5x+y = - 13          equation II

we solve this system of equation  by using elimination method.

multiplying the equation II by - 6.

(-6)5x + ( -6 )y = ( - 6 ) (- 13 )

-30 x - 6 y = 78      equation  III

adding equation   I and III we have

6x + 6y = - 6

-30x -6y =78

_____________

- 24 x = 72

x =  - 3

substituting value of x in any of original equations and solve it for y.

we are putting the value of x in equation I and solve it for y

6( -3 )+ 6y = -6

-18 + 6y = -6

6y = 12

y = 2

so, x = -3 and y = 2 is the solution of given system of equations.

You might be interested in
How many liters of pure water must be added to how many liters of a 25% bleach solution to make 12 liters of a 15% bleach soluti
ArbitrLikvidat [17]

Answer: 4.8 liters

Step-by-step explanation:

Let x liter of water is added with y liter of 25% beach solution.

Thus, According to the question,

x + y = 12  -------(1)

0% of x + 25 % of y = 15 % of 12

25 % of y = 15% of 12

25 y = 15\times 12

y = \frac{180}{25}

y = \frac{36}{5}

Put this value in equation (1),

We get,

x + \frac{36}{5} = 12

x = 12-\frac{36}{5}

x =\frac{60-36}{5}

x =\frac{24}{5}

Therefore, the quantity of water =  x =\frac{24}{5}=4.8\text{ liter}

And, the quantity of 25% bleach solution = y =\frac{36}{5}=7.2\text{ liter}

3 0
2 years ago
|x-7|+5 is greater than or equal to 3
jonny [76]
\large\begin{array}{l} \textsf{Solve the absolute value inequality:}\\\\ \mathsf{|x-7|+5\ge 3}\\\\ \mathsf{|x-7|\ge 3-5}\\\\ \mathsf{|x-7|\ge -2}\\\\\\ \textsf{Since absolute values always give a non-negative number,}\\\textsf{every real value for x satisfies the inequatily:}\\\\ \textsf{For all }\mathsf{x\in\mathbb{R},}\\\\ \mathsf{|x-7|\ge 0>-2}\\\\\\ \therefore~~\mathsf{|x-7|\ge 2}\\\\ \textsf{regardless of the value of x.} \end{array}


\large\begin{array}{l} \textsf{Solution set: }\mathsf{S=\mathbb{R}.} \end{array}


If you're having problems understanding this answer, try seeing it through your browser: brainly.com/question/2180151


\large\textsf{I hope this helps. :-)}


Tags: <em>absolute value inequatily solve solution algebra</em>

6 0
2 years ago
Two four digit numbers abcd and efgh are constructed using the digits from 1 to 8. [a. b. c. d. e. f. g and h are the digits of
NeX [460]

Answer:

that is your answer on the picture

4 0
2 years ago
What is 2/1 divided by 1 6/7?
Lubov Fominskaja [6]
<span>What is 2/1 divided by 1 6/7?
</span>answer would be 0.9
6 0
3 years ago
"a man drove 11 mi directly east from his home, made a left turn at an intersection, and then traveled 2 mi north to his place o
Charra [1.4K]
Pythagorean therom!


east and the north make a right angle

a^2 + b^2 = c^2
(11)^2 + (2)^2 = c^2
121 + 4 = c^2
125 = c^2
11.2 miles = c
8 0
3 years ago
Other questions:
  • Triangle ABC is shown on the coordinate plane. Shade in
    14·1 answer
  • Please help me, I will give brainliest
    8·1 answer
  • Type the correct answer in the box use numerals instead of words if necessary use / for the fraction bar
    12·2 answers
  • Square root of 10201 by long <br> division
    13·1 answer
  • Common factors of 128 and 192
    9·2 answers
  • Which type of graphs show individual data?
    11·1 answer
  • 2. Samantha's mom has a koi fish pond at the corner of her backyard. Samantha wanted to install a brick walkwa on two sides of t
    15·1 answer
  • The length of a rectangle is 2 cm less than twice the width. The area of the rectangle is 112 cm2. Find the length and width of
    8·1 answer
  • A 4 x 4 x 4 wooden cube has been assembled using unit cubes. If it is cut at 45 degrees angle starting at one of its facial diag
    9·1 answer
  • Can Someone Please help me I am super confused.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!