−3x−9y=−12
−3x+7y=4
solve for x
Answer:
[tex] \huge{ \boxed{ \boxed{ \sf{ \red{ \sf{x = 1}}}}}}[/tex]
Step - by - step explanation :
[tex] \underline{ \underline{ \sf{Solution}}} : [/tex]
USING ELIMINATION METHOD :
[tex] \sf{ - 3x - 9y = - 12}[/tex] ••••••• equation ( i )
[tex] \sf{ - 3x + 7y = 4}[/tex] ••••••• equation ( ii )
Subtracting equation ( ii ) from ( i )
Note that while subtracting equation ( ii ) from ( i ) , sign of each term of equation ( ii ) changes and hence becomes 3x - 7y = -4.
[tex] \sf{ \cancel{ - 3x} - 9y = - 12}[/tex]
[tex] \sf{ \cancel{3x} - 7y = - 4}[/tex]
_____________________
➺ [tex] \sf{ - 16y = - 16}[/tex]
➺ [tex] \sf{ \frac{ - 16y}{ - 16} = \frac{ - 16}{ - 16}} [/tex]
➺ [tex] \sf{y = 1}[/tex]
The value of y is 1. Since , we are asked to find the value of x , substituting the value of y in equation ( i) , we get :
➺ [tex] \sf{ - 3x - 9 \times 1 = - 12}[/tex]
➺ [tex] \sf{ - 3x - 9 = - 12}[/tex]
➺ [tex] \sf{ - 3x = - 12 + 9}[/tex]
➺ [tex] \sf{ - 3x = - 3}[/tex]
➺ [tex] \sf{ \frac{ - 3x}{ - 3} = \frac{ - 3}{ - 3}} [/tex]
➺ [tex] \sf{ x = \boxed{ \bold{ \red{ \sf{1}}}}}[/tex]
Hence , the value of x is 1 .
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☞ [tex] \underline{ \sf{Extra \: Info}} : [/tex]
There are many methods to solve such simultaneous equations. They are :
Graphical method : In this method , we find a few pairs of solutions to each of two given equations. The pairs of solutions of each equation are plotted in a graph and by joining them, two separate straight line lines are obtained. The coordinates of the point of intersection of two straight lines are the solutions to the given equation.Elimination method : In this method, we add or subtract the given equations to eliminate one of the two variable by making their coefficients equal. Then , a single equation with one variable so obtained is solved to find the value of the variable. The value of the variable is substituted to any one equation to find the value of the eliminated variable.Substitution method : In this method , a variable is expressed in terms of another variable from one equation and it is substituted in the remaining equations.⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆
✑ Learn more :
Solve system of equations using elimination method :
https://brainly.com/question/20160304
What is the substitution method ?
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Hope I helped ! ツ
Have a wonderful day / night ♡
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How would 2X + Y = 13 be written in slope-intercept form?
Answer:
[tex]y=-2x+13[/tex]
Step-by-step explanation:
For reference, slope-intercept form is:
[tex]y=mx+b[/tex]
[tex](m=slope)[/tex]
[tex](b=y-intercept)[/tex]
For the equation [tex]2x+y=13[/tex] to be written in slope-intercept form, all we must do is subtract [tex]2x[/tex] from both sides of the equation:
[tex]2x+y=13[/tex]
[tex]y=-2x+13[/tex]
-5x+7y=-34
-5x+3y=-6
Answer:
x = -3, y = -7Step-by-step explanation:
-5x + 7y = -34 ⇒ -5x = -34 - 7y
-5x + 3y = -6
-34 - 7y + 3y = -6
-34 - 4y = -6 {add 34 to both sides}
-4y = 28 {divide both sides by (-4)}
y = - 7
-5x + 3y = -6
-5x + 3(-7) = -6
-5x - 21 = -6 {add 21 to both sides}
-5x = 15 {divide both sides by (-5)}
x = -3
What is the largest 2-digit composite number divisible by 46?
Answer:
92
Step-by-step explanation:
its 92 because its is a 2-digit number and is considered composite because its divisible by 2, 4, 23 and 46
The largest 2-digit composite number divisible by 46 is 92 and this can be determined by using the definition of composite numbers and by arithmetic operations.
Given :
Number - 46
The following steps can be used to determine the largest 2-digit composite number divisible by 46:
Step 1 - Remember that composite numbers are those numbers that are divisible by more than two numbers.
Step 2 - The two-digit composite numbers which are divisible by 46 are 46 and 92.
Step 3 - The largest number between 46 and 92 is 92.
So, the largest 2-digit composite number divisible by 46 is 92.
For more information, refer to the link given below:
https://brainly.com/question/1669816
Find the mean and median of 0.55, 2 and 50%
B. Identify the kind of algebraic expression and determine the degree, variables
and constant
Constant
Variables
Degree
Algebraic Expression
Type/kind
1. 7x + 4x3 - 17
2. 3abc2 + a2bc2-abc + 2
3. x + 2x2 - 6x3 + 9x4 +1
4. 3xyz2 + 12
5. 14
can u help me I'm from Philippines
9514 1404 393
Answer:
see the attachment
Step-by-step explanation:
There are no roots, fractional powers, or denominators containing variables, so each of these expressions is the sum of multiples of products of variables to integer powers. (One is a constant.) That makes each expression a polynomial. Some polynomials can be further classified by their degree.
The degree is the highest sum of powers of the variables in the terms. For example, the term a^2·b·c^2 has variables with powers 2, 1, and 2. The sum of those powers is 2+1+2 = 5, so this is a term of degree 5.
A constant is a term with no variables.
__
It is customary in algebra problems to use variables that are a single lower-case letter. Sometimes, a variable may be represented by a letter in uppercase, or in a special font or language (usually Greek). Sometimes, it may be a word or phrase. Here, we assume each variable is one letter, so xyz is the product of three variables.
Perhaps the table below answers the questions you are asking about these expressions.
Amanda and Ndiba are selling flower bulbs for a school fundraiser. Customers can buy packages of tulip bulbs and bags of daffodil bulbs. Amanda sold 6 packages of tulip bulbs and 12 bags of daffodil bulbs for a total of $198. Ndiba sold 7 packages of tulip bulbs and 6 bags of daffodil bulbs for a total of $127. Find the cost each of one package of tulips bulbs and one bag of daffodil bulbs.
Please answer with work, need this quick! thanks
Answer is on the attachment. Brainlist pls.
Step-by-step explanation:
Helppppp pleaseeeeee
Answer:
it is c
Step-by-step explanation:
use your brain
Answer:
C
Step-by-step explanation:
the lowest y coordinate is -1 with a closed point which means its included while the highest point is 4 with an open circle which means 4 is not included
You are a big baseball fan. You have a goal of attending a baseball game in every major league stadium in the country. Every time you go to a different stadium, you buy a baseball hat. You keep your hats in a display case that holds 25 hats. You have 8 baseball hats so far. What are the possible numbers of hats you can collect without needing another display case?
Answer:
17
Step-by-step explanation:
Write 264 as a product of primes. Use index notation when giving your answer.
Answer:
2^3 times 11 times 3
Step-by-step explanation:
264
/ /
2 132
/ /
2 66
/ /
2 33
/ / 11 and 3
HELP Darius owns a business that manufactures and sells record players, now that vinyl records have resurged in popularity. The graph shows Darius's expected revenue and cost in relation to the price he sets for each record player.
Answer: 32 and 85
Step-by-step explanation:
Darius set the price between $32 and $85.
What is Graph?The graph is simply a structured representation of the data. It aids in our comprehension of the data. The numerical information gathered through observation is referred to as data.
Given:
We have the graph shows Darius's expected revenue and cost in relation to the price he sets for each record player.
For the expected revenue = 32 the cost is $5539.
and, For the expected revenue = 85 the cost is $4062.
and there is a peak at expected revenue 52.
Then, for profit Darius set the price between $32 and $85.
Learn more about Graph here:
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#SPJ5
7(n+4)= 21 what’s does n equal
Answer:
Step-by-step explanation:
here you go mate
step 1
7(n+4)= 21 equation/Question
step 2
7(n+4)= 21 simplify
7n+28=21
step 3
7n+28=21 subtract
7n=-7
step 4
[tex]\frac{7n}{7} =\frac{-7}{7}[/tex]Divide
answer
n=-1
The sum of 3 times a number and
twice the same number
is less than 45.
a) 3n + 2n < 45
b) 3n + 2 > 45
c) 3(n + 2) < 45
d) 2(n + 3) < 45
Answer:
poop
Step-by-step explanation:
poop
Andre drew a scale drawing of his garden. Each inch represents 5 feet. What is the actual perimeter of his garden?
Answer:
c
Step-by-step explanation:
c
please help and show work if you can
Answer:
9) 127 °
10) 67°
11) 100°
12) 118°
Step-by-step explanation:
adjacent angles in parallelograms are supplementary (their sum is 180°)
opposite angles are congruent
A cook uses 4 ounces of flour to make
12 cup cakes. How much flour would
he use to make 36 cup cakes?
Answer:
12 ounces flour
Step-by-step explanation:
4 ounces 12 cup cakes
8 ounces 24 cup cakes
12 ounces 36 cup cakes
What is the mean of the data set?
82, 105, 247, 119, 94, 202
i got the totally of 141.5
just add them all up to get 849
and divide them by how many numbers there are
which is 6
Brainliest brainliest brainliest
Answer:
27 and 9
Step-by-step explanation:
27 divided by 1 = 27
27 divided by 3 = 9
:)
9. The diagram shows a triangle inscribed in a circle with centre O.
The lengths of the shorter sides of the triangle are 6 cm and 8 cm.
Work out the area of the circle.
Use π = 3.14.
Answer:
25π
Step-by-step explanation:
let c = length of third side of triangle
since you are working with a right triangle you can find the third side by using the pythagorean theorem: 8^2 + 6^2 = c^2
64 + 36 = c^2
100 = c^2
c = 10
10 is also the diameter of the circle and radius is 5
A = π · r²
A = 5^2÷ (3 ^4 · x^24 · y^12)
A = 25π
What’s the sum of -3a+2 and 5a-3
Answer:
2a-1
Step-by-step explanation:
Answer:
2a-1
Step-by-step explanation:
you take the -3a and add the 5a, and that gives you 2a. 2-3 is -1.
plz help............
4. x.y
Step-by-step explanation:
thats the answer, Its number 4
6th grade math help me plzzzz
Answer:
E. would be your answer
Step-by-step explanation:
ok so find an angle on figure A. and count how many units it takes to get to the same angle on figure B.
Pls pls help I don’t have time HELP ASAP. It also detects if it’s right or wrong.
Answer:
360
Step-by-step explanation:
hope this helps.
to stay healthy we should drink 6 1/2 glasses of water a day. if we follow guidelines how much water would we drink in a full week
Answer:
Step-by-step explanation:
Saying that each glass is 8 ounces if you drink 6.5 glasses a day your drinking 52 ounces a day. Seven days are in a week 52 ounces times 7 days gives you 364 ounces a week 364 ounces divided by 8 ounces per glass gives you 45.5 glasses in a full week
HELP ME PLS ITS SO EASY BUT ME BAD
Answerit would be the first one
Step-by-step explanation:
Can someone really help me please!
Answer:
Step-by-step explanation: You can order without knowing the areas because of the size
Answer:
From Left to Right:
Large, Medium, Small
Explanation:
Assuming all the numbers are the same (chances are that they are seeing as they use the same variable ((the Greek lowercase letter known as Psi - Ψ)), then we should determine the area based on formulas.For the leftmost shape, you have to use the length * width formula TWICE and then subtract the missing area value to find the remaining area (which is--even after subtracting, the greatest than out of all the other shapes).For the middle shape, the formula you use is length * width-- which is less than that of the leftmost shape, but more than the rightmost shape.For the rightmost shape, the formula you use is (length * width)/2--which is half of the middle shape and less than the largest shape.anyone know this, its rlly hard
Answer:
......................................................................................................
Step-by-step explanation:
What is the length of AB? 4 units 5 units 6 units 7 units
Answer:
the answer is 6 units
Step-by-step explanation:
find point A and point B and then just count the units over from
A to B and you will get AB is 6 units
Answer c
Step-by-step explanation: bc its 6 units
solve (−8x−12)+(9x+4)=
Help me, please! Look at the screenshot below!
Answer: the answer is B
Step-by-step explanation:
The x axis cannot have the same number. -2 and -2 are the same so you would have to replace one of them with a different number that is not used in the x axis.