HELPPPPP PLEASE
(04.02 MC)
What is the solution to the following system of equations?
4x + 2y = 6
x - y = 3
(2, 1)
(-2, -1)
(2, 4)
(2, -1)
Answers
======================================================
Explanation:
Double everything in the second equation to go from x-y = 3 to 2x-2y = 6.
So we have this equivalent system of equations
[tex]\begin{cases}4x+2y = 6\\2x-2y=6\end{cases}[/tex]
We can then add straight down. The x terms add to 6x. The y terms go away because they add to 0. The stuff on the right hand sides add to 12.
After those three sets of addition operations, we have the new equation 6x = 12 which solves to x = 2 after dividing both sides by 6.
Now use x = 2 with any of the equations mentioned that have x,y involved so we can solve for y.
4x+2y = 6
4(2)+2y = 6
8+2y = 6
2y = 6-8
2y = -2
y = -2/2
y = -1
or we could say
x-y = 3
2-y = 3
-y = 3-2
-y = 1
y = -1
Either way, we get the same y value.
Since x = 2 and y = -1 pair up together, we get the ordered pair solution (x,y) = (2, -1). Therefore, the answer is choice D.
If you were to graph the two equations, as shown below, the two lines intersect at (2,-1). This point is on both lines at the same time. This is visual confirmation that the point is a solution to both equations. Though you should still algebraically check each original equation.
Related Questions
SIMPLIFY THIS!!!!!
7(y - 5) + 3y = 10(y +1)
Answers
7(y-5)+3y=10(y+1)
Distribute the 7 to y and -5 and distribute 10 to y and 1
7y-35+3y=10y+10
Combine like terms
10y-35=10y+10
+35 to both sides
10y=10y+45
Subtract 10y from both sides and you’re left with 0=45 which is false- so the answer would be not true or there is no answer. Hope this helps!!!
7(y + -5) + 3y = 10y + 10
Reorder the terms:
7(-5 + y) + 3y = 10y + 10
(-5 * 7 + y * 7) + 3y = 10y + 10
(-35 + 7y) + 3y = 10y + 10
Combine like terms: 7y + 3y = 10y
-35 + 10y = 10y + 10
Reorder the terms:
-35 + 10y = 10 + 10y
Add '-10y' to each side of the equation.
-35 + 10y + -10y = 10 + 10y + -10y
Combine like terms: 10y + -10y = 0
-35 + 0 = 10 + 10y + -10y
-35 = 10 + 10y + -10y
Combine like terms: 10y + -10y = 0
-35 = 10 + 0
-35 = 10
Solving
-35 = 10
Couldn't find a variable to solve for.
This equation is invalid, the left and right sides are not equal, therefore there is no solution.
Please help me I need this so I can get off my computer it's so late rn
Answers
Answer: 45 units
Step-by-step explanation:
Find the coordinates of R and S
R = -25
S = 20
Then just subtract them to find the distance between them.
20 - (-25) = 45.
Answer:
45
Step-by-step explanation:
First, find out the specific locations of R and S: for R, it is-25, and for S, it is 20 (use the tick marks on the x-axis).
Next, to find out the distance between R and S, be sure to add the absolute value, rather than the actual numbers.
So, ∣R∣ + ∣S∣ = 25 + 20 = 45
Hope this helps and let me know if you have any more questions!
Divide Decimals by Decimals.
Fill in the blanks:
Steps:
1. Make the outside number whole (move the decimal point to the _________.)
2. However many decimals places you moved on the outside number, you must move it over the ________ amount on the inside number.
3. Put the decimal point on the elevator and bring it up on the roof.
4. Divide as with whole numbers.
Answers
Answer:
1-Left
2-same
Answer: 1) right
2) same
Hi! So, I need help. (Look at Screenshot below)
Answers
Answer:
(2 + 3/7) + 4/7
Step-by-step explanation:
(2 + 3/7) + 4/7
Regrouping
2 +(3/7+4/7)
2 +(7/7)
2+(1)
3
Help!!
I need help with my math!!
Answers
Step-by-step explanation:
[tex]thank \: you[/tex]
125-180=55
The answer equal to 55
pls help… I don’t understand this stuff
Answers
same thing for 8 (16)
9 do 20x18 then multiply that by five.
10 just add all four numbers
11 let me look up distrutive property rq bc i forgot
You all have a wonderful day
PLZ HELPPPP!!! WILL GIVE BRAINLIEST! TYSM!!
Find the arc length of the semicircle.
Either enter an exact answer in terms of π (pi) or use 3.14 and enter your answer as a decimal.
Answers
Answer:
6 pi
Step-by-step explanation:
The arc length is 1/2 of the circumference
C = pi * d
So the arc length is 1/2 C
arc length= 1/2 ( pi *d)
= 1/2 pi(12)
= 6 pi
shshdhnddbdndbdbdb
Write an inequality:
from -5 to -1 inclusive
PLZ HELP I need the answer really quick. My assignment is due today. I will give brainliest and 30 points
Answers
Answer:
We can write this inequality in Interval Notation.
So, an inequality from -5 to -1 inclusive would just be.
[-5, -1].
The "[]" brackets mean "inclusive".
Let me know if this helps!
Answer:
1231
Step-by-step explanation:
12312
In which pair do both decimals represent rational numbers?
A. 0.397 and 0.8999...
B. 2.28182845904523536... and 0.8999
C. 9.1426535893793238... and 0.397
D. 9.1426535893793238... and 0.8999...
Answers
Answer:
Option b
step by step explanation:
Answer:
Option (A)
Step-by-step explanation:
0.296 and 0.9888 is correct because rational no are terminating and repeating ..
Which of the following are accurate descriptions of the distribution below?
Choose all answers that apply:
A) The distribution has an outlier
B) The distribution has a peak from 40 to 45 hours
C) None of the above
[PIC INCLUDED]
Answers
Answer:
Both a and b
Step-by-step explanation:
The distribution has an outlier from 0 to 5 hours. The peak of this distribution is from 40 to 45 hours since this column is the tallest.
Give three equivalent rates that describe the top speed of a tuna.
Answers
Write an equation to represent the following statement.
33 is 15 less than k.
Solve for k.
Answers
33 is fifteen less than k
---"Is" can be a key word in this statement, meaning equals
33 = k - 15
k = 48
Hope this helps!
Answer is K = 48
Question down below. Pls have an explanation its optional tho
Answers
Answer:
10-x
Step-by-step explanation:
The total amount is made up of movies and music
total = movies + music
10 = x+ music
Subtract x from each side
10-x = x+music-x
10-x = music
Answer:
the answer is 10-x
Step-by-step explanation:
[tex]\sf{}[/tex]
♛┈⛧┈┈•༶♛┈⛧┈┈•༶
Is what I did correct if not then what is the answer
Answers
Answer:
Yes it is correct
Step-by-step explanation:
Answer:
You're correct!
Subtract 47 from both sides.
j = 55 - 47
Simplify 55 - 47 to 8.
j = 8
Please help meee WITH THIS
Answers
Mrs. Singh made 372 cookies to put in gift boxes. She will put 20 cookies in each box. How many cookies will be left over?
Answers
Answer:
12
Step-by-step explanation:
372 : 20 = 18 (rest 12)
check
18 * 20 + 12 = 372
20 times 18 = 360
372-360 = 12
Please help! I need detail and I need a part a and a part b! Please I need this fast!
Answers
Answer:
A) 60 cents
B) 10 pounds of cabbage = 6 $
Step-by-step explanation:
The number of pounds of cabbage = (x)
The price = (y)
(x,y) = (5,3)
That means for 5 pounds of cabbage the price is 3 dollars.
A.
The price for 1 pound of cabbage can be found using this equation
5x = 3
x = 3/5 or 0.6
60 cents.
B.
(10,6) means that for 10 pounds of cabbage, the price is $6.
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
b- 10lbs of cabbage, 6 $
A map is drawn to a scale of 1 cm to x m. A plot of land with an area of 28 hectares is represented by an area of 112 cm?. Find the value of x. (1 hectare = 10 000 m²)
Answers
Answer:x=50
Step-by-step explanation:
28 hectares=28 0000 m2
1000
2500
50
the area ratio is the square of the scale drawn ratio
fr33 p0ints/ umm? please help me with this question
Answers
Plsss helppp! I will give brainliest!! (13 points!)
Answers
Answer:
The model goes Left 4 times, and Up 2 times.
Answer:
start at the origion of 0,0, then go right 4 units, and up 2 units if i am not mistaken
Step-by-step explanation:
What are some things you know about linear functions?
Answers
Candy counted to 600 by 6's, beginning with 6. Danny counted to 600 by 4's beginning with 4. How many the numbers that candy counted were also counted by Danny?
Answers
Step-by-step explanation:
If we count for both numbers up to 36, we start seeing a pattern...
Candy: 6 12 18 24 30 36
Danny: 4 8 12 16 20 24 28 32 36
Every other number in Candy's counting is also counted by Danny. So here's what we'll do:
Divide 600 by 6600/6 = 100
This is how many numbers Candy counted overall.
Divide the result by 2.100/2 = 50
This is how many numbers Danny counted that were also numbers Candy counted.
Answer:
50 of the numbers that candy counted were also counted by Danny.
Answer:
50
Step-by-step explanation:
Aliya made 8 liters of punch for a party. Did she make more than, less than, or exactly 800 milliliters? Explain your answer
Answers
Answer:
more than
Step-by-step explanation:
8 liters
We know that 1000 mL = 1 liter
8 liters * 1000ml / 1 liter = 8000 ML
That is more than 800 mL
May someone help me with this question?(Extra points maybe brainliest for the person who I think helped the most best way.
Answers
Answer:
15
Step-by-step explanation:
The distance from (-2,1) to (6,1) is 8 units
The distance from (6,1) to (6,-3) is 4 units
The distance from (6,-3) to (9,-3) is 3 units
Now add 'em up: 8 + 4 + 3 = 15
The length of the biking trail is 15 units long!
Hope that helps <3
If h(x) = x2-5x + 7 find:
⅓ h(-8)
Answers
Answer:
[tex]\displaystyle \frac{1}{3} h(-8) = 37[/tex]
Step-by-step explanation:
Hi there!
[tex]h(x) = x^2-5x + 7[/tex]
First, find h(-8) by replacing all of [tex]x[/tex] with -8:
[tex]h(-8) = (-8)^2-5(-8) + 7\\h(-8) = 64+40 + 7\\h(-8) = 111[/tex]
Now, find ⅓ h(-8) by multiplying the entire expression by ⅓:
[tex]\displaystyle \frac{1}{3} h(-8) = 111 * \frac{1}{3} \\\\\displaystyle \frac{1}{3} h(-8) = 37[/tex]
I hope this helps!
What is the Tenth COMMON FACTOR of 6 and 9? (DO NOT respond with the LCM of 6 and 9)
Answers
help plz its due tomorrow
Answers
Answer:
Go to Slader.com and select the grade lvl and click the page number
Step-by-step explanation:
hope this helps
Slader.com
Step-by-step explanation:
PLZ ANSWER!!! IF YOU ANSWER U GET 20 POINTS
Find |-65|.
0
65
-65
Answers
It helps you
Step by step on how to do this plz
Answers
Answer:
a=8/3
Step-by-step explanation:
(-1/8)a=(5/8)a-2
2=((5/8)+(1/8))a
a=8/3
Step-by-step explanation:
hope this is helpful please
Express each of the following decimals as a percentage
1.35
solution for class 7
Answers
Answer:
135%
Step-by-step explanation:
To represent a decimal to percentage, multiply by 100
1.35 x 100 = 135
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
