Solve for y: 3x - 2y - 7 = 0
Answers
Answer:
x
=
1
and
y
=
−
2
Explanation:
Here ,
3
x
−
2
y
=
7
...
.
→
(
1
)
5
x
+
y
=
3
...
...
→
(
2
)
Multiplying eqn.
(
2
)
by
2
and adding:
i
.
e
.
(
1
)
+
2
×
(
2
)
we get
3
x
−
2
y
=
7
10
x
+
2
y
=
6
−−−−−−−−−−−−−
13
x
+
0
=
13
∴
x
=
1
Subst.
x
=
1
into
e
q
n
.
(
2
)
we get
5
(
1
)
+
y
=
3
∴
5
+
y
=
3
∴
y
=
3
−
5
∴
y
=
−
2
Hence,
x
=
1
and
y
=
−
2
Answer:
[tex]y=\frac{3}{2}x+\frac{-7}{2}[/tex]
Or, for a more simplified version:
[tex]y=\frac{3x}{2}-\frac{7}{2}[/tex]
Or, for an EVEN MORE simplified version:
[tex]y=\frac{3x-7}{2}[/tex]
Step-by-step explanation:
There are three different forms of answers that I put for you, but they are all still equivalent answers, it’s just that one is more simplified than the other. If I were you, I would pick the most simplified version.
Also, the image below shows step-by-step on how to solve it.
Hope this helps! :)
Related Questions
The club sold shirts and capes to raise money for new stage equipment. The club sold each shirt for $20.00. The club made profit of $4.00 for each shirt. Sold. Part A: The drama club sold a total of $480.00 worth of shirts. How much profit did the club make from the shirt sale?
Answers
Answer:
The club made a profit of $96 from the shirt sale.
Step-by-step explanation:
First, you have to find the number of shirts sold by dividing the total amount sold by the price per shirt:
480/20=24
Now, that you know the number of shirts that were sold, you can multiply the profit per shirt for the number of shirts sold:
4*24=96
According to this, the answer is that the club made a profit of $96 from the shirt sale.
can someone plz help me! plz i also added some more points plz help
Answers
Answer:
15x + 12(10 - x) = 1417 and 3Step-by-step explanation:
The number of people who have two-course meal is (10 - x)
Correct equation is:
15x + 12(10 - x) = 141Solving for x:
15x + 120 - 12x = 1413x = 141 - 1203x = 21x = 7Answer:
Number who have three-course meal = 7Number who have two-course meal = 3Answers:
1) 15x + 12(10 - x) = 141
2) 7 and 3
15x + 12(10 - x) = 141
15x + 120 - 12x = 141
3x = 141 - 120
3x = 21
x = 7
lan has 30 star stickers to share. she gives 4 stickers to each of her and has 2 stickers.
how many friends does lan have.
Answers
30/4 =7.5 so the answer is 7
Answer:
7
Step-by-step explanation:
this can be written as an equation, which is 4x+2= 30
X = the number of friends
30= the total of stickers
4= the stickers each friend gets
2= the amount lan gets.
Now solve the equation, first subtract 2 on both sides, which is 28
4x=28 now divide both sides by 4, which will give you 7
x= 7, that means that answer is 7
find the value of x.
4.
122°
100°
to
144
Answers
Answer:
84 degrees i think
Step-by-step explanation:
polygons have their interior angles add up to 540, so you just add up all the angles given and subtract them from 540, then you get your answer.
At the start of the month, Stephen’s savings account had a balance of $1,624. He made a $420 withdrawal each week for four weeks. During that month, he also made two deposits of $600 each and one deposit of $1,000. What was the balance in Stephen’s account at the end of the month?
Answers
Answer:
- 1625
Step-by-step explanation:
420 times 4 = 1680
1624 - 1680 = -56
-56 - 600 - 1000 = -1625
BRAINLIEST PLEASE
The equation 2x-7=5+x has exactly one solution. True or false
Answers
Answer:
True
Step-by-step explanation:
x=5+7=12
The only solution is x=12.
Simplify 3(2y -1) + 2y
Answers
Answer: 8y -3
Step-by-step explanation:
3(2y -1) + 2y
6y -3 + 2y
8y -3
Answer:
8 y - 3
Step-by-step explanation - I got it from google so its right 100%
Is SAM - DEL? If so, identify the similarity postulate or theorem that
applies.
A. Similar - AA
B. Similar - SSS
C. Similar - SAS
D. Cannot be determined
Answers
Answer:
Step-by-step explanation:
C
The theorem that applies is Similar SAS.
The correct option is C.
What are similar triangles?Those triangles look the same but are different in size.
And in similar triangles,
the corresponding sides are in proportion to each other and the corresponding angles are equal to each other.
Given information:
SM = 27, angle SMA = 31 degrees, MA = 15, DL = 9, LE = 5 and Angle DLE = 31 degrees.
From the given information, we know that angle SMA is congruent to angle DLE because they both have a measure of 31 degrees. However, we do not have any information about the other angles in the two triangles.
To check if the corresponding sides are proportional, we can compare the ratios of the corresponding side lengths:
SM/ DL = 27/9 = 3
MA/LE = 15/5 = 3
Since the ratio of SM to DL is equal to the ratio of MA to LE, we know that the corresponding sides are proportional.
Therefore, we can use the Similarity-SAS (Side-Angle-Side) postulate to conclude that the triangles are similar. The postulate states that if two pairs of corresponding sides are proportional and the included angles are congruent, then the triangles are similar.
The answer is (C) Similar - SAS.
To learn more about similar triangles;
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What is the rate
$150/25
written as a unit rate?
A.
$30/5
B.
$6/1
C.
$4/1
D.
$125/2
Answers
Answer:
B
Step-by-step explan
150 divide by 25
25 divide by 25
Can someone help me pls
Answers
Answer:
1) rational
2) Irrational
3)rational
4) irrational
5) rational
Step-by-step explanation:
If it has a whole number answer and doesn't have never ending number its rational
Can someone do this please
Answers
Someone help plz right answer gets to be brainliest
Answers
2)E
3)B
4)G
If you have any questions let me know:)
One brand of cookies is sold in three different box sizes small medium and large the small box has half the volume of the Box the volume of the medium box the volume of the medium boxes X if someone buys one of each size which expression shows the combined volume of the three boxes?
Answers
Answer:
3.5x
Step-by-step explanation:
the medium box would be 1x, if small is half the size, its 0.5x, and large is 2x since its 2x the size of medium. add all of them up and its 3.5x size
PLEASE HELP ME WITH THIS ASAP
Answers
9514 1404 393
Explanation:
1. ΔABC ≅ ΔDEF . . . . . 1. SAS postulate*
_____
The two given congruent sides are either side of the given congruent angle, so the SAS postulate applies. The objective appears to be irrelevant.
Billy Bob is filling his bathtub with water. At one minute, there are 5
gallons, at two minutes there are 8 gallons, and at 3 minutes there are
11 gallons of water in the tub.
If this pattern continues, how many gallons of water will be in the tub
at 7 minutes?
Answers
Answer:
There will be 23 gallons
Answer:
23 gallons
Step-by-step explanation:
the bathtub is filling by 3 more gallons every minute, 7-4=3, 4*3=12, 11+12=23
Can anyone by chance know how to do these geometry questions?
Answers
Answer:
G is equal to (8, -11)
Step-by-step explanation:
We are given the midpoint and one end of the line segment. We can find the other end of it by taking the distance from H to M, doubling it, and adding that to H:
[tex]G(x, y) = H(x, y) + 2(M(x, y) - H(x, y))\\\\G_x = H_x + 2(M_x - H_x)\\G_x = -4 + 2(-6 - (-4))\\G_x = -4 + 2(-2)\\G_x = -4 - 4\\G_x = 8\\\\G_y = H_y + 2(M_y - H_y)\\G_y= 3 + 2(- 3 - 4)\\G_y= 3 - 6 - 8\\G_y = -11[/tex]
So the coordinates of endpoint G are (8, -11)
i genuinely don't understand . please help me asap
Answers
Answer:
48.17
Step-by-step explanation:
Umm.. i don't really have time to explain but
A^2+B^2=C^2
36^2+32^2=48.17
1. Suppose Alice eats 3 ounces of base 2 cake (doubles her height for each ounce eaten) at each meal. a) What will her height be multiplied by after two meals? b) After three meals? c) After four meals? d) After M meals?
Answers
Answer:
a)64
b)512
c)2^12
d)2^3m
Step-by-step explanation:
At every meal, 3 ounces of the cake is eaten
a) After 2 meals, the number of ounces consumed is 6 ounces
For each ounce, height is doubled , for 6 ounces, we have 2 * 2 * 2 * 2 * 2 * 2
Her height is multiplied by 64
b) After three meals
Total consumption is 3 * 3 = 9 ounces
So her height will be multiplied by 2^9 = 512
c) After four meals
Total ounces is 4 * 3 = 12
So her height will be multiplied by 2^12
d) After M meals
Number of ounces is m * 3 = 3m ounces
Her height will be multiplied by 2^3m
Solve the system using substitution. Check your solution.
2x - y= 65
5y = x
Answers
Answer:
The solutions to the system of equations are:
[tex]x=\frac{325}{9},\:y=\frac{65}{9}[/tex]
Step-by-step explanation:
Given the system of the equations
[tex]\begin{bmatrix}2x-y=65\\ 5y=x\end{bmatrix}[/tex]
isolate 'x' for 2x-y
[tex]2x-y=65[/tex]
Add y to both sides
[tex]2x-y+y=65+y[/tex]
[tex]2x=65+y[/tex]
Divide both sides by 2
[tex]\frac{2x}{2}=\frac{65}{2}+\frac{y}{2}[/tex]
[tex]x=\frac{65+y}{2}[/tex]
[tex]\mathrm{Subsititute\:}x=\frac{65+y}{2}[/tex]
isolate 'y' for [tex]5y=\frac{65+y}{2}[/tex]
[tex]5y=\frac{65+y}{2}[/tex]
[tex]10y=65+y[/tex]
subtract y from both sides
[tex]10y-y=65+y-y[/tex]
[tex]9y=65[/tex]
Divide both sides by 9
[tex]\frac{9y}{9}=\frac{65}{9}[/tex]
[tex]y=\frac{65}{9}[/tex]
[tex]\mathrm{For\:}x=\frac{65+y}{2}[/tex]
[tex]\mathrm{Subsititute\:}y=\frac{65}{9}[/tex]
[tex]x=\frac{65+\frac{65}{9}}{2}[/tex]
[tex]x=\frac{325}{9}[/tex]
The solutions to the system of equations are:
[tex]x=\frac{325}{9},\:y=\frac{65}{9}[/tex]
im stressing and im losing points. i need help please
Answers
Answer:
I think it is X or Y. I might be wrong.
Answer:
∠Y = 85° , side XZ
Step-by-step explanation:
180 = 5x - 1 + 8x + 5 + 4x + 6
180 + 1 - 5 - 6 = 5x + 8x + 4x
170 = 17x
x = 170 / 17
x = 10
∠X = 5(10) - 1 = 49°
∠Y = 8(10) + 5 = 85°
∠Z = 4(10) + 6 = 46°
therefore, the longest side of a triangle is the opposite site of
∠Y = 85° , side XZ
Graph the line x+2y=12 on the axes provided.
Answers
Answer: x=2y=12
Step-by-step explanation:
Answer:
Step-by-step explanation:
Convert the equation into mx+b format.
y=-1/2x + 6
Then, graph the line using the slope and y-intercept.
Your friend offers to pay you $10 plus $2 per day if you will watch his dog while he’s on vacation. Another friend offers you $15 plus $1 per day to watch her dog during the same time. You cannot do both jobs. Tell which job you would choose and explain why.
Answers
Answer:
the first one
Step-by-step explanation:
you get lower down payment but higher fee payment
Answer:
their correct
Step-by-step explanation:
answer quickly !!! Pls
Answers
Answer:
(6 × 5) + (6 × 3) = 6 × (5 + 3)
Step-by-step explanation:
Since both 5 and 3 are being multiplied by 6, the total would be 6 multiplied by the sum of 5 and 3.
please help me i’ve tried so many of these and i can’t figure out how to do it
Answers
Answer:
15.4%
Step-by-step explanation:
Calculate the volume of both containers.
The volume (V) of a cylinder is calculated as
V = πr²h ( r is the radius and h the height )
[tex]V_{A}[/tex] = π × 10² × 11 = 1100π ft³
[tex]V_{B}[/tex] = π × 7² × 19 = 931π ft³
Subtract volume of B from volume of A to find quantity left in A
quantity left in A = 1100π - 931π = 169π ft³
To calculate the percentage left in A after B has been filled
[tex]\frac{left}{full}[/tex] × 100%
= [tex]\frac{169\pi }{1100\pi }[/tex] × 100%
= [tex]\frac{169}{1100}[/tex] × 100%
= 15.4% ( to the nearest tenth )
A video game awards points each time a player finds a diamond. The players' point total increases with each additional diamond the player finds, as shown in the table below.
If n represents the number of diamonds found and p represents the total number of points, write an equation that models the points awarded for finding diamonds in this video game. Use the on-screen keyboard to type the equation in the box.
Answers
Answer:
15x-5=y
Step-by-step explanation:
The equation of the line will be written as y = 15x - 5.
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The general form of the equation of the line:-
y = mx + c
m = slope
c = y-intercept
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
The given data is,
The number of diamonds Total number of points earned
1 10
2 25
3 40
4 55
5 70
The slope of the line will be,
Slope = ( 25 - 10 ) / 1
Slope = 15
The y-intercept of the line,
y = mx + c
y = 15x + c
10 = 15 + c
c = -5
The equation will be written as,
y = mx + c
y = 15x - 5
Therefore, the equation of the line will be written as y = 15x - 5.
To know more about an equation of the line follow
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Solve the following inequality.
7(6 - 4n) + 4n > 138
Answers
Answer:
n <−4
42 - 28n + 4n >138
42 - 24n >138
-24n > 138 - 42
-24n >96
n <−96/24
N <−4
Hi if anyone gets this pls help i understand but i wanna be sure
Answers
Answer:
A. [tex]8x^{6}[/tex]
Step-by-step explanation:
Answer:
8x6
Step-by-step explanation:
PLEASE HELP
due today in 20 minutes
i will mark you brainliest
Answers
Keegan and Annie are working on an experiment in the
science lab. Their mixture contains ingredients that weigh
5.12 grams, 4.7 grams, and 7.32 grams. Keegan calculates
the combined weight to be 17.14 grams; Annie calculates
it to be 12.91 grams.
Who is correct, and why?
5.12
4.70
Keegan
+7.32
17.14
5.12
4.7
Annie
+7.32
12.91
O A. Keegan is correct. Annie did not regroup properly,
O B. Annie is correct. Keegan did not line up the decimals correctly.
C. Keegan is correct. Annie did not line up the decimals correctly.
D. Annie is correct. Keegan did not regroup properly.
Answers
Answer:
me name mort am swag
Step-by-step explanation: me my mom. she say help the noob. am no help you. doodoo pants.
what is 3,910 divided by 25 using the power of 10
A: 25
B: 250
C: 25,000
Answers
Answer:
izuocha is superior
Step-by-step explanation:
Answer:
ochaochaochaocha
Step-by-step explanation:
sorry i trying to get attention from someone
