use the elimination method to solve the following system of equations
2x+y=7
6x-y=9
Answers
Answer:
x=2
Step-by-step explanation:
We see that there is already a common variable that can be canceled out -- y. y+(-y)=0! (Alternatively you may also multiply an equation by negative 1 and do subtraction, but in this case it's already done for you)
So now we just do some addition.
2x+6x=8x
y+(-y)=0
7+9=16
This means that 8x=16. Now we solve!
(Divide both sides by 8)
We're left with x=2 :)
Related Questions
please help me this is very confusing
Answers
Answer:
Tan(F) = x/y
Step-by-step explanation:
Tan(F) = opposite Side / Adjacent side. The hypotenuse is not involved.
The opposite side is the side that you hit when drawing a line inside F to DE
The Adjacent side is one of the lines forming angle F.
Opposite side = x
Adjacent side = y
Tan(F) = x/y
Ms. Owens has some butterflies, 7 of them fly away. Now she has 12 butterflies left. How many butterflies did she start with?
Answers
Answer:
19
Step-by-step explanation:
Since she had 12 butterflies left you just add 7 to it
PLEASE HELP ASAP
Find the volume of Epcot Center in cubic ft. The diameter of the sphere is 165 ft. Use 3.14 to approximate pi and do not round your answer.
Answers
Answer:
28495.5 ft
Step-by-step explanation:
V=(4 /3)π(r^2)
r=radius=diameter/2
165/2=82.5
(4/3)3.14(82.5^2)
(4/3) x3.14x6806.25=28495.5ft
Pleaseeee helpp
Which statement describes an advantage to using diagrams or graphs?
A. They make it!possible to do complicated calculations.
B. They can give you a visual sense of unknown quantities.
C. They make difficult problems easy to solve.
Answers
Answer:
b
Step-by-step explanation:
One of the advantages of graphs is they can give you a visual sense of unknown quantities.
What is graphical representation?Graphical Representation is a way of analysing numerical data. It exhibits the relation between data, ideas, information and concepts in a diagram. It is easy to understand and it is one of the most important learning strategies. It always depends on the type of information in a particular domain.
Advantages of graphs :-
It allows us to relate and compare data for different time periods. It is used in statistics to determine the mean, mode, and median of different data. It saves a lot of time as it covers most of the information in facts and figures. This in turn compacts the information.
Hence, the advantages can be they can give you a visual sense of unknown quantities.
Learn more about graphs, click;
https://brainly.com/question/17267403
#SPJ2
The hanger image below represents a balanced equation
Answers
Answer:
9.1 = a + 4
Step-by-step explanation:
Equations
If the hanger image represents a balanced equation, then the left and the right 'weights' on the hanger must be equal.
On the left side, there is a weight of 9.1, and on the right side, the weight is a+4. Balancing the hanger, we obtain the required equation:
9.1 = a + 4
Answer:
the equation would be 9.1 = a + 4
Step-by-step explanation:
khan academy
List the following numbers from greatest to least: -5, 4, 0, |-3|, -6, 2
6th grade integers
Answers
Answer:
4, 2, |-3|, 0, -5, -6
Step-by-step explanation:
If BD bisects AC and AC bisects BD, is ABE ≅ CDE? Explain.
A. Yes; the triangles are congruent by AAS.
B. Yes; the triangles are congruent by ASA.
C. Yes; the triangles are congruent by SAS.
D. No; the triangles are not congruent.
Answers
Answer:
C. Yes; the triangles are congruent by SAS.
Step-by-step explanation:
From the question, we understand that:
AC and BD bisects one another
The bisection is better illustrated with a diagram. (See attachment).
From this point, I'll use the attachment as a point of reference.
From the attachment:
[tex]AE = CE[/tex] --- Side
and
[tex]BE = DE[/tex] --- Side
When both lines bisect one another, they form a pair of vertical angles [tex]\angle AEB[/tex] and [tex]\angle CED[/tex]
When we apply the theorem of vertical angles to this, we have that:
[tex]\angle AEB[/tex] [tex]=[/tex] [tex]\angle CED[/tex] --- Angle
At this point, we have established:
Two sides of ABE and CDE are congruent
and
One angle in each of ABE and CDE are also congruent
Hence, the triangles are congruent by SAS.
Factor
-10x + 2
please answer!
Answers
Answer:
Step-by-step explanation:
you just give 2 a common factor
2(-5x+1)
What is the length of BG and LB need help will mark Brainliest
Answers
we get x by setting up a proportion.
[tex]\frac{12}{2x+2}[/tex] = [tex]\frac{21}{5x-1}[/tex]
then we cross multiply.
12(5x−1) = 21(2x+2)
60x − 12 = 42x + 42
18x − 12 = 42
18x = 54
x = 3.
plug in 3 for x for LB, which is 2x + 2.
LB = 2(3) + 2 = 8
plug in 3 for x for BG, which is 5x - 1.
BG = 5(3) - 1 = 14
Answers:LB = 8BG = 14A textbook store sold a combined total of 256 sociology and psychology textbooks in a week. The number of sociology textbooks sold was 82 more than the number of psychology textbooks sold. How many textbooks of each type were sold?
Answers
Answer:
sociology=169
psychology=87
Can someone help is due today
Answers
Answer:
sorry letters are to small but if you dont know just guess then but then try to get like good scores on at least 3 homeworks
Answer:
2
Step-by-step explanation:
56/（14*2）=2hours
Please answer this correctly without making mistakes
Answers
Answer:
(0,3)
Step-by-step explanation:
Answer:
(0,3)
Step-by-step explanation:
If you move 5 units right and end at (5,3) you do the opposite to find out where you started. So from (5,3) move 5 units left to be at (0,3)
11.
D
Name the postulate, if possible, that makes the triangles
congruent.
E
A
B
a) SSS
b) SAS
c) ASA
d) Not Possible
Answers
Answer:
Step-by-step explanation:
The two angles at E that are enclosed by DE and CE (<DEC) and AE and BE (AEB) are vertically opposite. Therefore you have 2 sides and an included angle.
The Postulate is SAS
Please help!
Stay safe and take care!
Answers
Need help don’t know what to do I’m confused
Answers
Answer:B
Step-by-step explanation:
Not sure but the math came out like that.
Answer: Second one
Step-by-step explanation:
a(b-c)=d
Solving for c
ab-ac=d
ab=d+ac
ab-d=ac
ab-d/a=c
Need someone who’s really good at math to help me please!! Suppose you buy 3500 worth of furniture for a new house. The furniture store is offering a fixed installment loan with three year financing with no money down at 11.96% annual interest. What is the monthly payment? Round to nearest cent.
Answers
Answer:
monthly payment $132.11
Step-by-step explanation:
Interest = Principal x Rate x Time
I = 3500(.1196)(3)
I = 1255.80
Amount = Principal + Interest
A = 3500 + 1255.80
A = 4755.80
Monthly payment = 4755.80 / 36 months = $132.11 monthly
what is the mean number of hours volunteered by students in the survey
Answers
Answer: Where is the survey
Step-by-step explanation:
Answer:
I don't see the survey but I'll tell you how to find the mean.
Step-by-step explanation:
You add up all of your numbers and then divide that sum by the number of numbers you have. That's how you find the mean. Hope this helps.
Simplify the expression using the order of operations.
(11 – 8): – 2 x 6
Answer=
Answers
For babysitting, Nicole charges a flat fee of $3, plus $5 per hour. Write an equation for the cost, C, after h hours of babysitting. What do you think the slope and the y-intercept represent? How much money will she make if she baby-sits 5 hours?
Answers
The average daily temperature, t, in degrees Fahrenheit for a city as a function of the month of the year, m, can be modeled by the equation graphed below, where m = 0 represents January 1, m = 1 represents February 1, m = 2 represents March 1, and so on. If the equation is t = a cosine (StartFraction pi Over 6 EndFraction (m + 1)) + k, what are the values of a and k?
On a coordinate plane, a curve starts at (0, 42). It increases to (5, 80) and then decreases to (11, 40).
a = –60; k = 20
a = –50; k = 30
a = –30; k = 50
a = –20; k = 60
Answers
Answer:
D
Step-by-step explanation:
edge
Answer:
The answer is D.) as you can see by the millions of comments under the question + the answer above
Plz hurry
Choose the words that best describe a hexagon.
A) 3 right angles, 3 sides
B) 6 sides, 6 angles
C) 6 angles, 3 parallel sides
D) 5 sides, 6 angles
Answers
Can anyone do this without seeing the whole thing?
Answers
Answer:
It is the first graph that is shown on the screen
Select two ratios equivalent to the ratio of white socks to brown socks. pls help
Answers
Answer:
Step-by-step explanation:
You have to do total ratio
that will give you 20/15
Brainliest if you pay for it
cheese and mustard for sale only $12.99 it is fresh crusty and yellow natural with skin from feet and very tasty get some cheese and mustard for sale make burgers with it make eggs with it make anything with it make toothpaste with it it makes it white and shiny call 811
Answers
Answer:
ohh thats interesting...
Step-by-step explanation:
Answer:
i'd pay for it--
*vomits in mouth*
Step-by-step explanation:
SOMEONE HELP PLEASE!!!!
Answers
Answer:
c
Step-by-step explanation:
should be c
you deposit 200 into an account that pays 7% interest compounded quarterly. how much will you have in 5 years
Answers
r = R/100
r = 7%/100
r = 0.07 per year,
Then, solve our equation for A
A = P(1 + r/n)nt
A = 200.00(1 + 0.005833333/12)(12)(5)
A = $ 283.53
Summary:
The total amount accrued, principal plus interest,
from compound interest on an original principal of
$ 200.00 at a rate of 7% per year
compounded 12 times per year
over 5 years is $ 283.53.
Which choice is equivalent to the expression below?
V-12
A. -2/3
B. 2193
C. 121
D. -127
E. 23
Answers
Answer:
B
Step-by-step explanation:
[tex]-\sqrt{12} = i\sqrt{12}[/tex]
[tex]i\sqrt{12} = i\sqrt{4*3}= 2i\sqrt{3}[/tex]
Lynnetta gets paid weekly for completing household chores. The amount of money she earns for doing dishes, D, is approximately Normally distributed with a mean of $53 and a standard deviation of $3.60. The amount of money she earns for doing laundry, L, is approximately Normally distributed with a mean of $47 and a standard deviation of $4.10. Assume that D and L are independent random variables. What is the probability that Lynnetta will earn more than $110 in a randomly selected week?
Answers
Answer:
0.034
Step-by-step explanation:
cuz i missed it
This weekend at the farmers market, a farmer sold 112
Ibs of strawberries and 40 lbs of blueberries. Last
weekend, the farmer sold 75 lbs of strawberries and 107
lbs of blueberries.
Answers
Answer:
Strawberries=187 and the blueberries=147
Step-by-step explanation:
WHAT IS THE EQUATION OF THE LINE IN SLOPE - INTERCEPT FORM
Answers
Answer:
The answer is [tex]y = x + 6[/tex]
