Answers
Answers:
System 1: x = 3 and y = -5System 2: x = 1 and y = 2==========================================================
Explanation:
For now, let's focus on system 1.
We have identical copies of "2y" in each equation, which means that if we were to subtract the equations straight down, then the y terms cancel out. That allows us to solve for x.
The x terms subtract to 7x-x = 6xThe y terms subtract to 0 and go awayThe right hand sides subtract to 11 minus (-7) = 11-(-7) = 11+7 = 18After doing those subtractions, we have the new equation 6x = 18 which solves to x = 3. Divide both sides by 6 to isolate x.
Once we know x, we can find out y.
7x+2y = 11
7(3)+2y = 11
21+2y = 11
2y = 11-21
2y = -10
y = -10/2
y = -5
or we can say
x+2y = -7
3+2y = -7
2y = -7-3
2y = -10
y = -10/2
y = -5
We should lead to the same y value either way. This helps confirm we have the correct x value.
Overall, the solution to system 1 is (x,y) = (3, -5)
----------------------------
Now onto system 2.
Unfortunately, we don't have identical y terms this time. But what we can do is double everything in the second equation to go from -x+y = 1 to -2x+2y = 2.
The new equivalent system is
[tex]\begin{cases}7x+2y = 11\\-2x+2y = 2\end{cases}[/tex]
Now we have the same situation as before: Subtract straight down, solve for x.
The x terms subtract to 7x-(-2x) = 7x+2x = 9xThe y terms go away when subtractingThe right hand sides subtract to 11-2 = 9So we have 9x = 9 and that solves to x = 1.
We'll use this x to find the y value.
7x+2y = 11
7(1)+2y = 11
7+2y = 11
2y = 11-7
2y = 4
y = 4/2
y = 2
Or you could pick on the second equation
-x+y = 1
-1+y = 1
y = 1+1
y = 2
Related Questions
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The diagram shows a cylinder.
8.2 cm
10 cm
The cylinder has radius 8.2 cm and height 10 cm.
The cylinder is empty.
Pam pours 1.5 litres of water into the cylinder.
Work out the depth of the water in the cylinder.
Give your answer correct to 1 decimal place.
Answers
Answer:
7.1 cm
Step-by-step explanation:
You want the height of a cylinder of radius 8.2 cm and volume 1500 cm³.
V = πr²h . . . . . formula for the volume of a cylinder
h = V/(πr²) . . . formula solved to give h
h = (1500 cm³)/(π·(8.2 cm)²) ≈ 7.1 cm
The depth of the water is about 7.1 cm.
I DONT KNOW THIS QUESTION
Answers
11/4z + 6/20
**EXPLANATION**
Helppppp Pleaseeeeeee
Answers
Answer:
what is the question
Step-by-step explanation:
Can someone please help me I will mark u brilliant
Answers
to Linear Fun -unctions Which of the following terms in the equation y=xy + x + 20 makes it nonlinear? y DOOO ху 20
Answers
Answer:
xy
Step-by-step explanation:
Seth has 15 cans of regular soda and 20 cans of diet soda. He wants to create some identical refreshment tables that will operate during the high school football game. He also doesn't want to have any sodas left over. What is the greatest number of refreshment tables that Seth can stock? How many regular sodas will be at each table? How many diet sodas will be at each table?
Answers
What is the period of the trigonometric function f(t) = 3sin()?
A) 2 pi
B) 3 pi
C) 4 pi
D) pi / 2
Answers
If Shane’s average number of jumps completed is greater than one-half, then the
eighth graders earn 50 points. If not, the seventh graders earn 50 points. Which
grade should be awarded 50 points?
Answers
Ok so, it all depends if Shane is likely to jump win over all of the other seventh graders then the eighth graders should earn the 50 points...
But if the roles are reversed the the Seventh graders should earn the 50 points.
There is not a full answer to what I am saying but from speculation you should be able to decide..
Answer:
Step-by-step explanation:
pls help me i will mark you brilliant
Answers
2. a) 3 days.
b) 1 hour.
3. a) 20 km
b) 1200 l
Either enter exact answer in terms of pie or 3.14
Answers
Answer:
18 π ≈ 56.52
Step-by-step explanation:
The formula for the volume of a cylinder is V = π · r² · h.
This cylinder has a height (h) of 2 and a radius (r) of 3.
Therefore the volume is:
V = π · r² · h = π · 3² · 2 = 18 π ≈ 56.52.
Write the equation of the line parallel to the line and passing through the point.
y=x+5, (8, 1)
Answers
Answer:
y=2x+9
Step-by-step explanation:
I got y-2x+9 because if you add 8-1 that equals 7 and if u do 7-5 that equals 2 so y2x and then 7 Plus 2 equals 9 so it all adds up to Y=2x+9?.
Dr. Smith can see 12 patients in 2 hours. At this rate, how long would it take him to see 96 patients?
OA. 576 hours
Answers
Step-by-step explanation:
set up a proportion
12 patients. 96 patients
---------------- = ------------------
2 hours. ?
96 • 12 = 1152
1152 ÷ 2 = 576 hours
Answer:
16hours
Step-by-step explanation:
12=2
96=x
crossmultiply
12x=192
x=192÷12
x=16
6+7+8+...+(n+5) find the sum.
Answers
Answer:
n + 26
Step-by-step explanation:
first you have to simplify
6 + 7 +8 + n + 5
then combine the like terms
6 + 7 + 8 + n + 5
(n) + ( 6 + 7 + 8 + 5)
= n + 26
hope this helps
If f(x)=2(x2+5), then f(-3)=
Answers
Answer:
-1
Step-by-step explanation:
So you would do
-3×2= -6
then do
-6+5= -1
An octopus weighed 3 5/6 kilograms.After two weeks,its weight was increased by 1 4/5 kilgrams.But afterwards,it got sick and lost 2 7/15 kilograms.what is the current weight?
Answers
I think it's 3 1/6 kilograms
Step-by-step explanation:
3 5/6 + 1 4/5 since it increased
find the LCD (Least Common Denominator)
that would be 30
3 25/30 + 1 24/30
=4 49/30
= 5 19/30
Then we do subtraction since it lost some weight
5 19/30 - 2 7/15
find LCD again
5 19/30 - 2 14/30
=3 5/30
simplify
3 1/6 kilograms. That's what I think.
Help help help help help please math I’m stuck
Answers
Answer:
A' (-2, -4)
B' (1, -8)
C' (-3, -16)
Step-by-step explanation:
Since k is the vertical scale factor, multiply all y coordinates by 4. All x coordinates will remain the same.
Order the fallowing numbers from least to greatest put the lowest number on the left. -4 , 2 , -1, 3
Answers
Answer:
-4,-1,2,3
Step-by-step explanation:
If an opossum is 40 cm long, and a bat is 20 cm long. So an opossum is how many times as long as a bat?
Answers
40/20=2
So an opossum is 2 times as long as a bat
A snowy owl weighs 64 ounces.
16 ounces (oz) = 1 pound (lb)
How many pounds does the owl weigh?
Answers
Answer:
4 pounds
Step-by-step explanation:
Add 16 64 divided
The snowy owl weighs is 4 pounds.
What is Ratio?A ratio is defined as a relationship between two quantities, it is expressed as one divided by the other
What are Arithmetic operations?Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.
/ Division operation: Divides left-hand operand by right-hand operand
For example 4/2 = 2
We have been given that A snowy owl weighs 64 ounces.
16 ounces (oz) = 1 pound (lb)
We have to determine the number of pounds the owl weighs.
Let x pounds would be the owl weighs
We can write this as a ratio as
16 ounces (oz) : 1 pound (lb) = 64 ounces : x pounds
⇒ 16/1 = 64/x
⇒ (16)(x) = 64
Divide each side by 16
⇒ x =64/16
⇒ x = 4
Therefore, the snowy owl weighs is 4 pounds.
Learn more about the Ratio here:
brainly.com/question/1504221
#SPJ2
At a cafe, the Bishop family pays $12 for a salad, a fruit bowl, and two sandwiches. The Cortez family pays $14 for two salads and two sandwiches. The Donovan family pays $14 for a salad and three fruit bowls. What is the price of a fruit bowl at the cafe?
$2
$3
$4
$5
Answers
Answer:
$3
Step-by-step explanation:
https://brainly.com/question/16432745
a
2. During one month, a homeowner used 400 units of electricity and 120 units of gas for a total cost
of $73.60. The next month, 350 units of electricity and 200 units of gas were used for a total cost of
$72. Find the cost of a unit of gas.
Define variables:
Equation:
Equation:
Solution:
Answers
Answer:
Step-by-step explanation:
120G + 400E = 73.60
400E = 73.60 - 120G
E = 0.184 - 0.3G
200G + 350E = 72.00
200G + 350(0.184 - 0.3G) = 72.00
200G + 64.4 - 105G = 72.00
95G = 7.60
G = $0.08/unit
[tex]\left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right][/tex]
Answers
[tex]\huge{\underline{\underline{\boxed{\sf{\purple{Answer}}}}}}[/tex]
Since column 3 of the given matrix consists of numbers which are all constant multiples of each other, there is a theorem which states that the determinant of this matrix is 0 .However, I will prove it from calculation just to verify and show how you would calculate such determinants should you not be aware of the theorems of linear matrix algebra.Use co-factor expansion along any row or column of your choice.This involves adding the products of the entries in each row with their co-factors[tex] { - 1}^({i + j} )[/tex]for an entry in row I and column j, multiplied by the minor of the entry, formed by evaluating the resulting determinant when you delete row I and column j.In this case, since the given matrix is 3x3 indimension, it will result in three 2×2 determinants which we can find from definition[tex] \binom{a \: b}{c \: d} [/tex] = ad-bc
I will take co-factor expansion along row 1 as an example to find the determinant of the given matrix as :
∆=[tex] 1( - 1) {}^{1 + 1} {} \binom{56}{8 \: 9} + 2( - 1) {}^{1 + 2} \binom{4 \: 6}{7 \: 9} + 3( - 1) {}^{1 + 3} \binom{4 \: 5}{7 \: 8} \\ = 1(45 - 48) +( - 2)(36 - 42) + 3(32 - 35) \\ = - 3 + 12 - 9 \\ = 0 [/tex]
I am good at reading not math I need help please
Answers
Step-by-step explanation:
the answer is attached
I Hope This HelpSophia uses 3 cups of peanut butter to make 51 peanut butter cookies. At this rate, how many cups of peanut butter does she need to make 153 peanut butter cookies?
Answers
I need help on my algebra test. I’m reaching out because I’m really stuck and have no teachers available. Can you help me solve for y?
Answers
where is the question?
WHAT IS THE EQUATION IN SLOPE INTERCEPT FORM FOT THE LINE THAT PASSES THROUGH THE POINTS (2,-2) AND (-3,-17)
Answers
Answer:
y = 3x - 8
Step-by-step explanation:
to find slope the equation (y2 - y1) / (x2 - x1) is used
this means change of y over change of x
[-17 - (-2)] / (-3 - 2)
(-17 + 2) / -5
-15 / -5 = 3
the slope is 3
to find slope intercept form you must find the y intercept
using y = 3x + b and plugging things in we can find it
we can plug in the first point
-2 = 2(3) + b
b is your y intercept
-2 = 6 + b
b = -8
Answer:
y = 3/1x - 8
steps:
(2,-2) (-3, -17)
x1. y1. x2. y2
y2-y1
x2-x1
-17 - -2 = -15. = 3
-3-2. -5. 1
(2,-2)
y= mx + b
-2 = 3/1(2) + b
-2 = 6 + b
-6 -6
-8 = b
y = 3/1x - 8
4 CHALLENGE 35 toes—how
many
feet?
Hint Draw a picture to help.
How many in all?
Answers
7/8 * 1/2 =7/16 yes but wouldn't you have to divide it though like divide 16 / 7 = 3 3/7???
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1/2 is a simplified version of 4/8.
So then putting it back into the original equation:
7/8 * 4/8 = 7/16 or 0.4375
The final answer would be 7/16 because there isn’t another way to simplify that.
I hope that makes sense, let me know if you have any questions.
Answer:
No.
Step-by-step explanation:
I think you're talking about simplifying/reducing the fraction.
You would not do that in this case because the numbers 7 and 16 have no common factors besides 1.
The answer is already in its lowest/reduced form. You do not divide.
Please let me know if this was not what you were talking about!
Write the number below as a fraction in its simplest form
0.41 recurring
Answers
Answer:
41/100
Step-by-step explanation:
Any decimal to a fraction would have to have a extra digit than the numerator also it has to start with 1 and the rest having to be a certain amount of 0's, 0.41 as a fraction fraction would be 41/100
noah ran 2 1/2 miles in 3/5 hour
Answers
Answer:
4.1(6), 25/6, or 4 1/6 mph
Step-by-step explanation:
2.5/0.6=25/6