7x+3y=8
3x-4y=14
solve by elimination method
Answers
Answer:
{x,y} = {2,-2}
Step-by-step explanation:
System of Linear Equations entered :
[1] 7x + 3y = 8
[2] 3x - 4y = 14
Graphic Representation of the Equations :
3y + 7x = 8 -4y + 3x = 14
Solve by Substitution :
// Solve equation [2] for the variable x
[2] 3x = 4y + 14
[2] x = 4y/3 + 14/3
// Plug this in for variable x in equation [1]
[1] 7•(4y/3+14/3) + 3y = 8
[1] 37y/3 = -74/3
[1] 37y = -74
// Solve equation [1] for the variable y
[1] 37y = - 74
[1] y = - 2
// By now we know this much :
x = 4y/3+14/3
y = -2
// Use the y value to solve for x
x = (4/3)(-2)+14/3 = 2
Solution :
{x,y} = {2,-2}
Related Questions
Hey can you help me out with this problem?
Answers
Answer:
10
Step-by-step explanation:
20/2=10 smores
In the coordinate plane, point A(-1,-1) is translated to point A' (-3.-3). Under the same translation, the points B(-4,-4) and C(5.-5) are translated to B' and C' respectively. What are the coordinates of B' and C'?
Answers
Answer:
B' (- 6, - 6 ) , C' (- 7, - 7 )
Step-by-step explanation:
Consider the coordinates of A and A'
A (- 1, - 1 ) , A' (- 3, - 3 )
- 1 to - 3 in both the x and y direction means subtracting 2 units , then
translation rule is
(x, y ) → (x - 2, y - 2 ) , then
B (- 4, - 4 ) → B' (- 4 - 2, - 4 - 2 ) → B' (- 6, - 6 )
C (- 5, - 5 ) → C' (- 5 - 2, - 5 - 2 ) → C' (- 7, - 7 )
Find the remainder when f(x) = 5x3 + 7x + 5 is divided by x + 2
A. -49
B. -7
C. 11
D. 59
Answers
:)
f(x) = x + 13. Find the inverse of f(x).
O A. f '(x) = (x+13)
O B. f '(x) = x3 + 13
O c. f '(x) = 23 – 13
O D. f '(x) = (2 – 13)"
SUBMI
Answers
The answer should be x-13
How many digits are in the smallest sequence of repeating digits in the decimal equivalent of 5/9
Answers
4y²=49 solve the equation
Answers
steps:
divided both sides by 4
y^2 = 12.25
square 12.25
= 3.5
[tex]4y ^{2} = 49 \\ = > {y}^{2} = \frac{49}{4} \\ = > {y} = \sqrt{ \frac{49}{4} } \\ = > y = \frac{ \sqrt{49} }{ \sqrt{4} } \\ = > y = \frac{7}{2} \\ = > y = 3.5[/tex]
Answer:y = 3.5
there are 4, 6, and 7 points on three lines. How many triangles is it possible to create with given points as vertices?
Answers
4 triangles can be created with 3 points on a line.
20 triangles can be created with 6 points on a line.
30 triangles can be created with 7 points on a line.
Combination has to do with selection.
Note that a triangle has 3 vertices. If there are 4 points on a line, the number of triangles it is possible to create is derived using the combination formula shown as:
[tex]nC_r=\frac{n!}{(n-r)!r!}[/tex]
[tex]4C_3 = \frac{4!}{(4-3)!3!}\\4C_3 =\frac{4\times3!}{3!}\\4C_3=4triangles[/tex]
This means that 4 triangles can be created with 3 points on a line.
For a line with 6 points:
[tex]6C_3 = \frac{6\times 5\times 4\times 3!}{(6-3)!3!}\\6C_3 =\frac{6\times5\times 4\times3!}{3!3!}\\4C_3=20triangles[/tex]
This shows that 20 triangles can be created with 6 points on a line.
For a line with 7 points:
[tex]7C_3 = \frac{7\times 6\times 5\times 4!}{(7-3)!3!}\\4C_3 =\frac{7\times6\times 5\times4!}{4!3!}\\4C_3=30triangles[/tex]
This shows that 30 triangles can be created with 7 points on a line.
Learn more here: https://brainly.com/question/23885729
Guinea made a scale drawing of a window she is making for her house.
1 centimeter = 3 inches. Triangle A B C. Side A is 4 centimeters, side B is 3 centimeters, and side C is 5 centimeters.
Which proportion could Guinea use to find the length of side B?
Answers
Answer:
The answer is c: 1cm/3in = 3 cm/Xin
Step-by-step explanation:
Which is greater 1.44 or 1.2544
Answers
Answer:
1.44
Step-by-step explanation:
Answer:
1.2544
Step-by-step explanation:
It is closer to 1 than the latter.
The square of the sum of two consecutive positive even integers is greater than the sum of their squares by 48. Find the two integers.
Answers
Answer:
4 and 6 or -6 and -4Step-by-step explanation:
Let the numbers are 2x and 2x + 2.
We have:
(2x + 2x + 2)² = (2x)² + (2x + 2)² + 484(2x + 1)² = 4x² + 4(x + 1)² + 48(2x + 1)² = x² + (x + 1)² + 124x² + 4x + 1 = x² + x² + 2x + 1 + 122x² + 2x - 12 = 0x² + x - 6 = 0(x - 2)(x + 3) = 0x = 2, x = -3The numbers are:
4 and 6 or - 6 and - 4the perimeter of a rectangular field is 344m.if the length of the field is 93m.what is it’s width?
Answers
Answer:
79m
Step-by-step explanation:
344-(93x2)=158
158/2=79m
Step-by-step explanation:
perimeter = 344
length = 93
perimeter of rectangle = 2( l+ b )
344 = 2 (93 + b)
344÷2 = 93 + b
172 = 93 + b
172 - 93 = b
79 = b
in other words width is 79
hope it helps
The perimeter of the rectangle below is 104 units. Find the length of side RS.
Write your answer without variables.
S
3z
R
4z + 3
RS = ]
х
P
Q
Answers
20 POINTS PLEASE HELP ASAP!
Answers
Answer: increasing . . . positive . . . 2
Step-by-step explanation:
As best as I can tell . . .:
increasing . . . positive . . . 2.
The equation describing this line is y = 2x + 2
It has a positive (increasing) slope of 2 (with a y-intercept of +2).
the value of a + b + c for equation 2 Y - x = 7 is
Answers
Answer:
Correct option is
B
1.x+0.y=7
x=7 can be written as, 1.x+0.y=7 as the coefficient of x is 1 and that of y is 0. Step-by-step explanation:
PLZ HELP...........................................
Answers
Answer:
y=x-2+√3
Step-by-step explanation:
I'm not sure keep it up
It is first down in a football game. Your team has the ball at your 25-yard marker, and the play is a successful run for 6 yards.
Where does the ball end up? Where is the ball relative to where it started? Use the number line to find the answer.
Enter the correct answers in the boxes.
Answers
Answer:
the ball would be at the 31 yard line, because you are moving 6 yards closer to midfield which would be 50, and the end zone if he ran all the way there would be 69 more yards
PLEASE HELP I KNOW I DONT HAVE THAT MUCH POINTS BUT NOBODY HAS HELPED ME WITH THIS :C I'LL GIVE BRAINLIEST 5 STARS AND A THANKS ITS DUE SOON SO THANKS IF U HELPED :C
Answers
Answer:
Step-by-step explanation:
Simplest way to do this?
Plug a point in each equation given.
Point I'm using: (1, 5650)
Mateo's Equation: y= 125x+5775
5650= 125(1)+5775
5650=5900
False. His equation is not correct.
Do this for the rest of equations.
If the diagonals of a rhombus are of length 24 & 32 cm, find the altitude of the rhombus.
a) 15.8 cm
b) 14.2 cm
c) 12 cm
d) 19.2 cm
Answers
Hello Carousel!
[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]
If the diagonals of a rhombus are of length 24 & 32 cm, find the altitude of the rhombus.
a) 15.8 cm
b) 14.2 cm
c) 12 cm
d) 19.2 cm
[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
Please refer to the attached picture for the answers with steps included.
NOTE :-
The sides of a rhombus are equal to each other.The point of intersection of the diagonals (marked as O in the figure) forms 90° angles (which is why we used the pythagoras property to solve the question).Since 0 is the point of intersection, it's also the midpoint of the diagonals. (So, BO = ½ × BD & AO = ½ AC -- we used this to solve the question).__________________
Hope it'll help you!
ℓu¢αzz ッ
(2.1 x 10^2) x (3.0 x 10 ^4)
Answers
Answer: 6,300,000
Step-by-step explanation:
First solve the expressions in the parenthesis using PEMDAS or GERMDAS or any other one it would be simplified to
(2.1 x 100) x (3.0 x 10000)
210 x 30000
6,300,000
5/14 x 4/7 in the simplist form
Answers
Answer:
10/49
Step-by-step explanation:
make it (5)(4)/(14)(7)
20/98
divide it by the greatest common factor, 2
10/49
Another destructive species transplanted by humans to the United States is the
Burmese Python, one of the largest snakes in the world. Imported as pets, some
escaped, and many more were released by their owners, possibly after getting
too big to care for. Most places are too cold for the tropical snake, but it has
begun to thrive in southern Florida.
Assume that the Burmese Python population in Florida is modeled by the
formula P(t) = Po: (1.15)? If there were 100,000 Burmese Pythons in 2010 (no
t
one really knows the exact number), how large could the population become by
2050 (without human intervention)?
Answers
Without human intervention, by 2050 there will be 26,786,354 Burmese Pythons in the United States.
Given that it is proposed that the Burmese Python is increasing its population at a rate of 1.15 year by year, and that it is estimated that by 2010 there were 100,000 of these in the United States, to estimate how many there will be by 2050 the following calculation should be done:
100,000 x 1.15 ^ (2050-2010) = X 100,000 x 1.15 ^ 40 = X 100,000 x 267.86 = X 26,786,354.62 = X
Therefore, without human intervention, by 2050 there will be 26,786,354 Burmese Pythons in the United States.
Learn more in https://brainly.com/question/15625553
7/8÷2/3= __
can i get only the answer
Answers
Answer:
21/16
Step-by-step explanation:
hope it hepls pa brainlest na din po
Answer:
in fraction= 1 5/16
in decimal = 1.3125
Please help me out! View the image below!
Answers
Answer:
y=-2x+1
Step-by-step explanation:
Look at the photo i think
add the expression (1/4x - 4 + 2y) + (2/5x + 5 - 4y)
Answers
Answer:
= 13/ 20 x − 2y+1
Here's your answer, I hope you enjoy.
findthe classification schemes of a fungues
Answers
Step-by-step explanation:
The five true phyla of fungi are the Chytridiomycota (Chytrids), the Zygomycota (conjugated fungi), the Ascomycota (sac fungi), the Basidiomycota (club fungi) and the recently described Phylum Glomeromycota.
Over 4 days, Krista deposited $45 into her bank account, transferred $30 1 point
to a friend, deposited $59, and withdrew $18. What was the mean change
per day to Krista's account in dollars during that week? *
Answers
Jada had some dimes and quarters that had a total value of $12.50
Answers
Answer:
1.She has 115 dimes because 0.10*115=11.5 0.25*4=1.00 11.5+1.00=12.5
2.She has 100 dimes because 0.10*100=10.00 and 0.25*10= 2.5 10+2.5=12.5
3.I think they don’t function because quarters are worth more than a dime.
4.he has 40 quarters because 0.25*40=10.00 0.10*25=2.5 10.00+2.5=12.5.
5.She has 38quarters because 0.25*38=9.5 0.10*30=3 9.5+3=12.5
6.Yes they can function because q=dx-12.5
The Questions:
Question 1 - 1 pts
If Jada has 4 quarters, how many dimes does she have?
Question 2 - 1 pts
If Jada has 10 quarters, how many dimes does she have?
Question 3 - 1 pts
Is the number of dimes a function of the number of quarters? If yes, write a rule (that starts with d =...) that you can use to determine the output, d, from a given input, q. If no, explain why not.
Question 4 - 1 pts
If Jada has 25 dimes, how many quarters does she have?
Question 5 - 1 pts
If Jada has 30 dimes, how many quarters does she have?
Question 6 - 1 pts
Is the number of quarters a function of the number of dimes? If yes, write a rule (that starts with q =...) that you can use to determine the output, q, from a given input, d. If no, explain why not.
4(v + 8) = 40
Which solutions makes this equation true?
1. 2
2. 4
Answers
Let’s try v = 4
4(4 + 8) = 40
PEMDAS says do what’s in the parentheses first so
4 x 12 = 40
Now multiply
4 x 12 = 48 not 40 so it’s not that
Now let’s try v = 2
4(2 + 8) = 40
Do what’s in the parentheses
4 x 10 = 40
So 2 is the answer
PEMDAS is
Parentheses
Exponents
Multiply
Divide
Add
Subtract
Hope this helps
jasmine's cell phone company charges her $35 for the month plus an additional $1.50 for everyday she goes over her data. this month, she was charged $44. how many days did she go over her data?
Answers
Answer:
6 days
Step-by-step explanation:
$44 - $35 = $9
$9/$1.50 = 6 days
120-20/10+2
help quick due in 10 min
Answers
Answer:
120
Step-by-step explanation:
120-20/10+2
=120-2+2
=120