Step-by-step
D 0<\<12
−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 ?
https://brainly.com/question/15936865
Hope I helped ! ツ
Have a wonderful day / night ♡
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anyone know this, its rlly hard
Answer:
......................................................................................................
Step-by-step explanation:
-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
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, 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.
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]
What value of m would make the expression below simplified to 6x
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
A student claims that the equation y = 7 is not a linear equation because it does not have the form y = mx + b. Do you agree or disagree? Explain.
Answer:
Yes i agree
Step-by-step explanation: The equation is there for a reason and if an answer does not fir the equation it can be linear so therefore the equation y=7 is not linear.
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.
Can someone help me with this, I don't understand.
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.
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
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:
Someone i need help the question is 50 points.
Just answer it no explanation.
Answer:
okay buddyn
.............
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
Yo i just copped these for my bird. How they look?
no bully pls ;c
Answer:
they look good lol
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
Whats the answer does anyone know
Answer:
I think it's 12.96
Step-by-step explanation:
Answer:
1.8*1.8=3.24
3.24*4= 12.96
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
HELP ME PLS ITS SO EASY BUT ME BAD
Answerit would be the first one
Step-by-step explanation:
solve (−8x−12)+(9x+4)=
Pls tell me where to put what in the picture below
Answer:
M is the gradient of the line and b is the y-intercept or where the line cuts the y-axis and the x is zero at the point
Step-by-step explanation:
It took Jude 420 seconds to walk home from school. How many minutes did it take him?
9 minutes
6 minutes
7 minutes
5 minutes
Answer:
7 minutes
Step-by-step explanation:
420/60 = 7 minutes
Answer:
7
Step-by-step explanation:
420/60 which equals 7 mim
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:
plz help............
4. x.y
Step-by-step explanation:
thats the answer, Its number 4
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
It’s a Pythagoras question.
Given that a = 5.6 and b = 7.1 work out the perimeter of the triangle.
Give your answer rounded to 1dp
Answer:
22
Step-by-step explanation:
c²= a²+b²= (5.6)²+ (7,1)²=9
P=5.6+7.1+9=21,7=22
Find the midpoint of the segment with the following endpoints.
(8,1) and (5,7)
Answer:
(13/2,4)
Step-by-step explanation:
use the midpoint formula
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.