What is the solution to this system of equations using the linear combination method?
Please help!!
Answers
Answer:
x= -3, y= 13
Step-by-step explanation:
The idea is that x and y in both equations are the same numbers and that the equations are like rules that need to be followed both in the same time.
We take the y from one equation and use it in the other equation because is the same y .
3x+y =4 , subtract 3x from both sides
y= -3x+4
2x+y =7 , substitute y with the y = -3x+4 from the first equation
2x -3x+4 = 7, subtract 4 from both sides
2x-3x = 7-4, combine like terms
-x = 3 so x = -3
We know that x= -3 so we can substitute it in y= -3x+4 to find y
y= -3x+4
y= -3 (-3) +4
y= 9+4 = 13
y= 13
Related Questions
Please help its line segments
Answers
Step-by-step explanation:
[tex]here \: c \: is \: the \: \: mid \: point \\ so \: bc = cd \\ 6x - 16 = 4x + 10 \\ x \: terms \: togather \\ 6x - 4x = 10 + 16 \\ 2x = 26 \\ x = \frac{26}{2} \\ x = 13 \\ thank \: you[/tex]
Answer:
x=13
Step-by-step explanation:
BC = CD
6x-16 = 4x+10
Subtract 4x from each side
6x-16-4x = 4x+10-4x
2x-16 = 10
Add 16 to each side
2x-16+16 = 10+26
2x = 26
Divide by 2
2x/2 =26/2
x = 13
Shirts are on sale at a price of $50 for 4. How many shirts can be purchased for $125?
A) 2 B) 8 C) 9 D) 10
Answers
Answer:
10 shirts
Step-by-step explanation:
We can use a ratio to solve
50 dollars 125 dollars
-------------------- = -------------------
4 shirts x shirts
Using cross products
50 *x = 4 * 125
50x = 500
Divide each side by 50
50x/50 = 500/50
x = 10
Answer:
D. 10
Brainliest, please!
Step-by-step explanation:
50/4 = 125/x
25/2 = 125/x
25 = 250/x
x = 250/25
x = 10
it confuses me when i have to fill in the in between i just dont quite understand how to work it out please explain it clearly
Answers
Make the unknown numerator be x and unkown denominotor be y
We have : 7 - [tex]\frac{x}{y}[/tex] = 6[tex]\frac{4}{5}[/tex]
=> [tex]\frac{x}{y}[/tex] = 7 - 6[tex]\frac{4}{5}[/tex]
[tex]\frac{x}{y}[/tex] = [tex]\frac{1}{5}[/tex]
So we need to fill in the box : [tex]\frac{1}{5}[/tex]
If the answer is helpful, Brainliest please!
Look at the two points on the number line. Each number graphed is the square root of a whole number that is not a perfect square. Write appropriate square root in each box. Explain how you found those answers.
Answers
Answer:
2.8 and 4.4
Step-by-step explanation:
The distance between tick marks is 0.25.
Since the first number is greater than 2.75, we can approximate is as 2.28.
The second number is less than 4.50, we can approximate it as 4.4.
8. Find the length of the segment indicated. Round to the nearest tenth if necessary.
Answers
Answer:
5
Step-by-step explanation:
x = 5 ( as the radius of the circle)
Hey! I need help please!
Answers
Answer:
11.36
Step-by-step explanation:
because the total amount of gallons divided by 34.08 will get you 11.36
Answer:11.36
Step-by-step explanation:
PLS HELP, FINAL EXAM QUESTION!!
Which of the following functions best represents the graph?
f(x) = (x − 2)(x − 3)(x + 2)
f(x) = (x + 2)(x + 3)(x + 12)
f(x) = (x + 2)(x + 3)(x − 2)
f(x) = (x − 2)(x − 3)(x − 12)
Answers
Answer:
C
Step-by-step explanation:
The roots of the function are - 3, - 2 and 2. The function will be (x+3)(x+2)(x-2)
please help only real answers please
Answers
Answer:
D. WV
Step-by-step explanation:
A ray has one endpoint and one arrow. It goes infinitely in one direction.
D is the one that is a ray; the endpoint is on the left, the arrow is on the right.
Efetue as divisões indicadas.
a. 3,6 : 1,5
b. 42:0,21
c. 200:0,5
Answers
Answer:
a)
[tex] \frac{3.6}{1.5} = \frac{36}{15} = 2.4[/tex]
b)
[tex] \frac{42}{0.21} = \frac{4200}{21} = 200[/tex]
c)
[tex] \frac{200}{0.5} = \frac{2000}{5} = 400[/tex]
I hope I helped you^_^
is y = 4.3x proportional
Answers
Answer:
yupp y is always 4.3 times more than x
Step-by-step explanation:
Step-by-step explanation:
no its not proportional
answer from Gauth math
The outside temputure was -4 f in the morning and 13 f in the afternoon.by how much did the temputure increase
Answers
Answer:
17
Step-by-step explanation:
You need to add 4 degrees to get to 0.
You need to add 13 degrees to get to 13
The total = 4 + 13 = 17
What is the quotient of 5.67 x 107 and 2.7 x
104 expressed in scientific notation?
Answers
solve
[tex] {49}^{x} = {7}^{3} [/tex]
please help
Answers
Answer:
hey answer is above
god bless you
Answer:
[tex]\displaystyle 1\frac{1}{2} = x[/tex]
Step-by-step explanation:
[tex]\displaystyle 7^3 = 49^x → 7^3 = 7^{2x} ⇉ 3 = 2x \\ \\ 1\frac{1}{2} = x[/tex]
I am joyous to assist you at any time.
1 Reflection across the x-axis. R(-2,2)→R J(-1,4) ► J'_ G(3,4) →G
Answers
Answer:
Play pes or fifa mobile or bgmi or see Jordaindians
Can someone give me the answer?
Answers
Answer:
5 inches
Step-by-step explanation:
The distance from the center of a circle to any point on the circumference must be equal.
20.
What is the distance from the point (3,8) to the
point (7,-6)?
a. 2V5 units
b. 2V 47 units
c. 2V 51 units
d. 2V53 units
e. 2V74 units
Answers
Answer:
the answer is d using the distance formula
Triangle ABC is s defined by the points A(2,3), B (3,4), and C(6,3). Find the perimeter of a triangle. Round to 2 decimal places if necessary. Please help me :(
Answers
Answer:
a
Step-by-step explanation:
ssdsdaaaaashjkkkllbhgdsfiii
Can someone please do this maze for me and show work?! Dm me and help me plsss
Answers
Answer:
See the attachedStep-by-step explanation:
Use midpoint formula to calculate x or y- coordinates.
A(x₁, y₁), B(x₂, y₂)M = ((x₁ + x₂)/2, (y₁ + y₂)/2)Which statement describes the graph of f(x) = –4x3 – 28x2 – 32x + 64?
The graph crosses the x-axis at x = 4 and touches the x-axis at x = –1.
The graph touches the x-axis at x = 4 and crosses the x-axis at x = –1.
The graph crosses the x-axis at x = –4 and touches the x-axis at x = 1.
The graph touches the x-axis at x = –4 and crosses the x-axis at x = 1.
Answers
It should be noted that a statement that describes the graph of f(x) = -4x3 - 28x2 - 32x + 64 will be;
D. The graph touches the x-axis at x = -4 and crosses the x-axis at x = 1.
What is a graph?It should be noted that a graph is a diagram that shows the relationship between two or more sets of numbers.
Given that;
The function is,
⇒ f(x) = - 4x³ - 28x² - 32x + 64
Now, We can draw the graph of the function,
We get;
The x-axis at x = -4 and crosses the x-axis at x = 1.
In this case, the statement that describes the graph of f(x) = -4x3 - 28x2 - 32x + 64 will be is that the graph touches the x-axis at x = -4 and crosses the x-axis at x = 1.
Learn more about graphs on:
brainly.com/question/26013847
#SPJ5
Write 4 3/7 as a decimal.
Enter your answer as a decimal rounded to the nearest hundredth, like this: 3.14
Answers
Answer:
4.43
Step-by-step explanation:
4 3/7
~Turn into an improper fraction
31/7
~Divide
4.42885714286...
~Round
4.43
Best of Luck!
Find the value of the expression 3m^2 + 2p^2 - 15 when m = 3 and p = 10
( 9th grade algebra 1 )
Answers
Answer:
212
Step-by-step explanation:
[tex]3( {3}^{3}) +2 ( {10}^{2} ) - 15[/tex]
[tex]3(9) + 2(100) + 15[/tex]
[tex]27 + 200 - 15[/tex]
[tex]212[/tex]
8. 7.6 + (-7.1) = what does it equal plz help
Answers
Answer:
vsddddddddddddddddddddddddddddddddddddddddddddddddddddddbgtresxvzjdhdf;lsjb
Step-by-step explanation:
Three consecutive vertices of a parallelogram are (– 2, 1); (1, 0) and (4, 3). Find the coordinate of the fourth vertex and find the area of the parallelogram.
Answers
Answer:
D(1,4) - the fourth vertex, the area is equal to 12
Step-by-step explanation:
A(2,-1), B(1,0),C(4,3), They are consecutive, we need to find the point D, find the midpoint of AC (O)
xo= (xA+xc)/2 x0= (-2+4)/2=1
y0=(yA+yC)/2 y0= (1+3)/2=2
0(1,2)
O is the midpoint of BD, so let's find the vertex D
X0= (xB+xD)/2 1= (1+xD)/2 xD=1
y0= (yB+yD)/2 2= (0+yD)/2 yD=4
D(1,4)
the vector DA is (-2-1, 1-4)= (-3,-3)
the vector DC is (4-1, 3-4)= (3,-1)
The modul of DC is sqrt ((-3)^2+(-3)^2)= 3*sqrt2(the length of the side Dc)
The modul of DA is sqrt (3^2+(-1)^2)= sqrt10(the length of the side DA)
cosD= (-3*3+(-3)(-1))/3*sqrt2*sqrt10=-6/3*2*sqrt5=-1/sqrt5
sinD= sqrt (1- 1/5)=2/ sqrt5
S=3sqrt2*sqrt10*2/sqrt5= 12
Anjali paid $8 for a salad. She now has
$37. With how much money did she start?
Answers
Answer:
Below.
Step-by-step explanation:
37+8= 45
45-8=37
so 45.
Answer:
45
Step-by-step explanation:
total money = amount spent plus amount remaining
total money = 8+37
total money = 45
Evaluate 3x-4 when x=5
Answers
Answer: 11
Step-by-step explanation:
Substitute x with 5.
3(5)-4=11
Answer:
11
Step-by-step explanation:
Plug in 5 for x to get the following expression:
3(5) - 4
Then just solve:
15 - 4
11
Ahmad travelled 1/4 of a journey by Train X, 3/4 of the remainder by Train Y and the remaining 10km by Train Z. a) How far did Ahmad travel by Train Y? b) What was the total distance that Ahmad travelled?
Answers
Hey there! I'm happy to help!
Train X takes out 1/4 of our journey.
Now, we have 3/4 of the journey left.
Train Y takes 3/4 of the last 3/4 of the journey. How much is that, let's just multiply the fractions!
3/4*3/4= 9/16
So, 9/16 of the total journey is done by Train Y.
A fourth of 16/16 is 4/16, so that leaves us with 3/16 left to go.
So, 3/16 of our total distance is equal to 10 km. Let's call our total distance d and set this up as an equation.
3/16d=10
Divide both sides by 3/16.
d= 53 1/3
We also remember that Train Y gave us 9/16 of our total journey, so we can multiply this by our total distance to see how far train Y went.
53 1/3 * 9/16= 30
So, A. Ahmad traveled 30 miles by Train Y and B. his total distance traveled is 53 1/3 miles.
Have a wonderful day and keep on learning! :D
The angles of a quadrilateral are in the ratio 1:2:3:4. The smallest and the largest angle are
urgent pls answer asap
thank you
Answers
Step-by-step explanation:
Let the angles of quadrilateral be
X, 2x, 3x, 4x
Sum of all angles of quadrilateral = 360
X+2x+3x+4x = 360
10x = 360
X = 360/10 = 36
Ans: the four angles are
X = 36
2x = 2 X 36 = 72
3x = 3 X 36 = 108
4x 4 X 36 = 144
can someone help me please??
Answers
Answer:
11,4 > 11 > 9,8 > 1
Step-by-step explanation:
To list the numbers from smallest to largest we need to determine the value of them in same/similar format
11 and 1 is in same format
The approximate value of [tex]\pi ^{2}[/tex] 9.8
the root of [tex]\sqrt{121}[/tex] = 11
the root of [tex]\sqrt{130}[/tex] is = 11.4 approximately
Now we have them as real numbers we can evaluate
11,4 > 11 > 9,8 > 1 we don't need to write 11 twice but if needed we can write is as:
11,4 > 11 = 11 > 9,8 > 1
What is the solution to this system of equations?
Please help!!
Answers
Answer:
(5,1)
If you use substitution it'll be very easy.
In this case substitute the second equation into the first so you get y+4+y=6. Then simplify and you'll get 2y=2. Then solve for y and you'll get 1. Now plug in the 1 for y into either of the equations. Let's plug it into the second equation. X=1+4. X=5.
Final answer is (5,1).
The solution to the system of equations is x = 5, y = 1
The given system of equations is:
x + y = 6......(1)
x = y + 4......(2)
Substitute the equation x = y + 4 into the equation x + y = 6
y + 4 + y = 6
Collect like terms
y + y = 6 - 4
2y = 2
y = 2/2
y = 1
Substitute y = 1 into equation (2)
x = 1 + 4
x = 5
The solution to the system of equations is x = 5, y = 1
Learn more on simultaneous equation here:
https://brainly.com/question/16863577
what are 5 expressions that are equivalent to 12x4
Answers
Answer:
6 x 8
48 x 1
24 x 2
12 x 4
16 x 3
Are the 5 expressions equivalent to 12 x 4