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Given the system of linear equations:
{x+6y=6
y=1/3 x−2
Part A: Graph the system of linear equations.
Part B: Use the graph created in Part A to determine the solution to the system.
Part C: Algebraically verify the solution from a Part B
Answers
Answer:
QUESTION 1
The image attached shows the graph of the given system of equations. There you would notice that the solution is (-1,-5), which is the interception point.
To verify the solution algebraically, we need to multiply the first equation with -1 and then sum them up
Then, we use this value to find the other one
Therefore, the solution is (-1,-5), which is the same showed graphically.
QUESTION 2.
Using the same process as we did in the QUESTION 1. The image attached shows both lines and the interception point which is the solution. So, the solution is (6,0).
To verify the solution algebraically, we must multiply the second equation by -6
Then, we use this value to find the other one
Therefore, the solution is (6,0), the same showed graphically.
Step-by-step explanation:
If you don't get it
question 1
solution is (-1,-5)
question 2
solution is (6,0),
The solution to the system of linear equations x+6y=6 and y=1/3 x−2 is x = 6 and y = 0.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have:
The system of linear equations:
x+6y=6
y=1/3 x−2
Part A: Graph is shown in the picture.
Part B: The intersection point is (6, 0)
x = 6
y =0
Part C: By substitution method.
[tex]\rm x+6\left(\dfrac{x}{3}-2\right)=6[/tex]
x = 6
y = 0
Thus, the solution to the system of linear equations x+6y=6 and y=1/3 x−2 is x = 6 and y = 0.
Learn more about the linear equation here:
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Related Questions
Use the correct order of operations to solve the problem below.
26 - (5 + 4) - 20 ÷ 4
Answers
Answer:
15
Step-by-step explanation:
To solve this question we will be using BIDMAS.
This stands for, Brackets, indices, division, multiplication, addition and subtraction.
As brackets is first, we need to do 5+4, to get 9.
This gives us 26-9-20 divide 4
Next is division so we do 20 divide by 4, to get 5.
This gives us 29-9-5
So now we subtract 9 from 29 to get 20, and 5 from 20 to get 15, which is our final answer.
My I please have some help
Simplify (89^6 x 91^3)^0
1
(89^6 x 91^3)
0
(89^7 x 91^4)
Answers
Answer:
Any number(except 0) to the power 0 is equal to 1. So the the answer is 1.
Step-by-step explanation:
At a glass vase factory, 2 out of the last 10 vases produced were chipped. What is the experimental probability that the next vase will be chipped?
Answers
Answer:
there is a 20% chance that a vase will be cracked
Step-by-step explanation:
Answer:
2/10 = 1/5 = 0.2 = 20%
Step-by-step explanation:
Determine the intercepts of the line.
Answers
Answer:
x = 5/3 or 1.67 and y= 2.5 or 5/2
Step-by-step explanation:
Firstly to find the x intercept make y= 0 meaning put zero at where ever you find y to help eliminate the y
so
3x + 2y =5
3× + 2 (0)=5
3×=5
×=5/3 or 1.67
Secondly for the y intercept make x = 0 meaning put zero at where ever you find x to help eliminate the x leaving you with y
3x + 2y =5
3 (0) + 2y = 5
2y=5
y= 5/2 or 2.5
If y is a positive integer, for how many different values of y is RootIndex 3 StartRoot StartFraction 144 Over y EndFraction EndRoot a whole number?.
Answers
The value of y will be 18 or 144.
Given information:
The given expression is [tex]\sqrt[3]{\frac{144}{y} }[/tex].
It is required to find the values of y which are whole numbers.
Now, factorize 144 as,
[tex]144=2\times2\times2\times2\times3\times3\\144=2^3\times2\times3\times3[/tex]
So, for the value of given expression to be a whole number, the value of y should be,
[tex]2\times3\times3=18[/tex] or 144.
For the above values of y, the given expression will be,
[tex]\sqrt[3]{\frac{144}{y} }=\sqrt[3]{\frac{144}{18} }\\=\sqrt[3]{8} =2\\\sqrt[3]{\frac{144}{y} }=\sqrt[3]{\frac{144}{144} }\\=\sqrt[3]{1} \\=1[/tex]
Therefore, the value of y will be 18 or 144.
For more details, refer to the link:
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Answer:
Its B. 2
Step-by-step explanation:
Edge
Darrian creates caricatures for an initial fee of $5 then charges $2 each minute it takes him to complete the drawing.Write an equation to match the situation.
Answers
Answer:
2x+5
Step-by-step explanation:
Equation y = 3x + 5 correctly represents the situation.
What is an equation?Two algebraic expressions having same value and symbol '=' in between are called as an equation.
Given:
Darrian creates caricatures for an initial fee of $5 then charges $2 each minute.
Let x be the number of each extra minutes.
And y be the total fees.
So, the equation;
The total fee = Charges of x minutes + initial fee.
y = 3x + 5
Therefore, the equation is y = 3x + 5.
To learn more about the equation;
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A number is les than or equal to -11
Answers
Answer:
-12 is the answer for this question
Step-by-step explanation:
make me as brainlist
Answer:
[tex]x\leq-11[/tex]
Step-by-step explanation:
simplify and factor if necessary
Answers
Answer:
[tex]\frac{1}{x}[/tex]
Step-by-step explanation:
[tex]\frac{3x - 12}{3x^{2} - 12x}[/tex]
[tex]\frac{3x - 12}{x(3x-12)}[/tex] Factor out x.
[tex]\frac{1}{x}[/tex] Simplify.
3q+3.97=7.57 please help im stuck on ixl
Answers
Answer:
1.2
Step-by-step explanation:
3q+3.97=7.57
3q=7.57-3.97
3q=3.6
q=3.6/3
q=1.2
on a map where each unit represent one kilometer, two marainas are located at p(4,2) and Q(8,12). if a boat travels in a straight line from one marina to the other, how far does the boat travel?
Answers
Answer: 5 kilometers.
Step-by-step explanation:
534 divided by 43. Please help..
Answers
Answer:
Step-by-step explanation:
The numbers in the fraction cannot be reduced to create a simplified fraction. Therefore there are 3 ways to write this answer ...
1) [tex]\frac{534}{43}[/tex]
2) 12[tex]\frac{18}{43}[/tex]
3) 12.41861
how many solutions are there for 2x−5=8x+7−6x
Answers
Answer:62
Step-by-step explanation:
2 times 5=10-5=5
8 times 7=56+7= 63-6=57+5=62!
No solution. hope this helps
Given the two similar triangles below, which proportion is true?
Answers
Answer:
B) 10/15 = 15/22.5
Step-by-step explanation:
For the two triangles, proportions that involve ratios of the corresponding sides are true.
pleaseeee help me ………
Answers
Answer:
number 2
Step-by-step explanation:
This graph represents the design of a child’s slide what is the slope of the slide
Answers
Answer:
I think it is 1/2 because it goes up 1 over 2
3х + 4y= 4
12х + 16y = 8
Answers
Answer:
No Solution.
Step-by-step explanation:
3x+4y=4
12x+16y=8
--------------
-4(3x+4y)=-4(4)
12x+16y=8
--------------------
-12x-16y=-16
12x+16y=8
-----------------
0=-8
no solution
A. (4,1)
B.(-2,8)
C.(8,-2)
D.(-1,4)
Answers
Answer:
i think B is answer
Step-by-step explanation:
0.5x+9 = -3x+2
x = -2
y = -3x+2
y = -3(-2) +2
y = 6+2
y = 8
(x,y) = (-2,8)
F(x) = -4x + 3, find f(-3)
Answers
[tex]f(x) = -4x +3\\\\f(-3) = -4(-3) +3 = 12 +3 = 15[/tex]
HELPPPPP!!!!!!!!!!!!!!!!!!!! THIS IS DUE IN 17 MINUTES AND THIS IS THE LAST QUESTION I NEED THE ANSWER TO! (((PLEASE ACTUALLY GIVE ME THE ANSWER AD NOT THE LINKY PLEASE!!)))
Answers
Answer:
689/1000
hope this helped
what is the probability
Answers
Answer:
1/4
Step-by-step explanation:
the probability on getting blue on spinner is 1/2
1/2 x 1/2 =1/4
Problem Solving
4. A school club sells 43 raffle tickets on Monday and
39 raffle tickets on Tuesday. How many more raffle
tickets did it sell on Monday than on Tuesday?
Answers
Answer:
They sold 4 more raffle tickets on monday than they did on tuesday.
Step-by-step explanation:
Answer: they sold 4 more raffle tickets on monday than tuesday.-
Step-by-step explanation:
Simplify x⁷y⁹ ÷ x³y⁶
Answers
...............
Explain with examples of your own how to find the domain and range of a function.
Answers
Step-by-step explanation:
hope it will help you....
What is the equation of the line?
Answers
Answer: x=0
Step-by-step explanation:
The line has an undefined slope and has infinitely many solutions as it passes through the y-axis
Therefore the equation of the line is x=0
Gia started to solve the equation 3(x − 10) − 5x = 2x − 26 below. They want to move the variables to the left side of the equation for their next step.
Fill in Line 4 and give the property.
Line 1: 3(x − 10) − 5x = 2x − 26 Original Problem
Line 2: 3x − 30 − 5x = 2x − 26 Distributive Property
Line 3: -2x − 30 = 2x − 26 Collect Like Terms
Line 4:
please helpp
Answers
Answer:
Subtract 2x from each side, Subtraction Property
Step-by-step explanation:
The diagram shows a rectangle 15cm long and 13cm wide.It has been split into four smaller rectangles. write the area of each small rectangle on the diagram.
Answers
[tex]195 cm^{2}[/tex]
Area of each splited rectangles =[tex] \frac{195cm{}^{2} }{4} [/tex]
=[tex]48.75 {cm}^{2} [/tex]
!! PLEASE MARK ME THE BRAINLIEST!!AND I'M REALLY VERY SORRY IF MY ANSWER IS WRONGplease help!
the subject is 9th-grade geometry honors
I need help finding the length for this problem.
Answers
The perimeter of an equilateral triangle is 14.4 cm. Find out the length of the side of that triangle in decimal fraction.
Answers
Answer:
4.8 cmStep-by-step explanation:
Given,
Perimeter of an equilateral triangle = 14.4 cm
As we know,
Perimeter of an equilateral triangle = 3 × sides (s) = 3s
Therefore,
By the problem,
=> 3s = 14.4 cm
[On dividing both sides with 3][tex] = > \frac{3s}{3} = \frac{14.4}{3} [/tex]
[On Simplification]=> s = 4.8 cm
Hence,
The required side of the given equilateral triangle is 4.8cm(Ans)
A music store purchases a grand
piano, wholesale, for $5,000.
They markup the retail price 65%.
What is the retail price?
Answers
Answer: 8250
Step-by-step explanation:
Answer:
8548
Step-by-step explanation:
Will give brainliest
No need to give explanation.
No links!!
The system of equations has
Answers
Answer:
One Solutions I think
Step-by-step explanation: