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The following system of equations has exactly one (x, y) pair for its solution.
4x + 6y= 24
2x+y=8
If we add the two equations in the original system, we have 6x + 7y= 32.
Explain why the same (x, y) pair is also a solution to this equation. Use math and be
specific in your explanation!
Answers
y
y in
2
x
+
y
=
8
2x+y=8.
y
=
8
−
2
x
y=8−2x
2 Substitute
y
=
8
−
2
x
y=8−2x into
4
x
+
6
y
=
24
4x+6y=24.
−
8
x
+
48
=
24
−8x+48=24
3 Solve for
x
x in
−
8
x
+
48
=
24
−8x+48=24.
x
=
3
x=3
4 Substitute
x
=
3
x=3 into
y
=
8
−
2
x
y=8−2x.
y
=
2
y=2
5 Therefore,
x
=
3
y
=
2
x=3
y=2
look in comments to read it better but x=3 y=2 hope this helps :)
Related Questions
Can someone explain their answer?
Answers
13,6,-1,-8,-15,-22,-29,-36
Answer: -36
Step-by-step explanation:
13, 6, -1
to get from 13 to 6 and 6 to -1, you would subtract by 7 so keep subtracting by 7 until you get 8 different terms
13, 6, -1, -8, -15, -22, -29, -36
the eighth term would be -36
i hope that makes sense
2. A kitten is gaining 0.6 pounds per week. The kitten is currently seven pounds. After how many weeks will the kitten be at least 10 pounds?
Answers
Answer:
Here is the answer
Step-by-step explanation:
The kitten weighs_____pounds every week -0.6 pounds
Weight of the kitten at current time -7 pounds
Weeks it will take for the kitten to reach 10 pounds -0.6+7=7.6
now round it off and you will get 7
∴the kitten will take 7 more weeks for getting to 10 pounds
The kitten will be at least 10 pounds after 5 weeks. Let's set up an equation to solve for the number of weeks needed for the kitten to reach at least 10 pounds.
Let "w" represent the number of weeks.
The weight of the kitten after "w" weeks can be calculated as:
Weight = Initial weight + (Weight gained per week * Number of weeks)
Weight = 7 + (0.6 * w)
We want to find the number of weeks when the weight is at least 10 pounds:Weight ≥ 10
Substituting the equation for weight:
7 + (0.6 * w) ≥ 10
Subtracting 7 from both sides:
0.6 * w ≥ 3
Dividing both sides by 0.6:
w ≥ 3 / 0.6
w ≥ 5
Therefore, the kitten will be at least 10 pounds after 5 weeks.
To know more about kitten:
https://brainly.com/question/29277335
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Determine whether the measures for the figure shown are proportional.
a. the length of a side and the perimeter
b. the length of a side and the area
Answers
See image for question.
Please show workings and diagrams.
Answers
Answer:
a) 7 kmb) 298°Step-by-step explanation:
See attached diagram (not to scale).
All given details reflected.
a) Find the measure of XZ using the law of cosines:
y = √(5² + 3² - 2*5*3*cos 135°) = 7 km (rounded)b) Now using the law of sines find the measure of angle X:
7 / sin 135° = 5 / sin X sin X = 5 sin 135° / 7m∠X = arcsin (5 sin 135° / 7 ) = 28° (rounded)The bearing of Z from X is:
270° + 28° = 298°What is the solution for -4x - 10 ≤ 2?
Answers
Answer:
x>=-3
Step-by-step explanation:
-4x-10<=2
-4x<=2+10
-4x<=12
x<=12/-4
x<=-3
x>=-3
PLEASE HELP IF POSSIBLE :)
Answers
Answer:
JM = 20
Step-by-step explanation:
Find the value of JM
Using similar triangles;
MJ/HN = GJ/HK
GJ+JM/HN = GJ/HK
15+JM/12+16 = 15/12
15+JM/28 = 15/12
Cross multiply
12(15+JM) = 15*28
180+12JM = 420
12JM = 420 - 180
12JM = 240
JM = 240/12
JM = 20
Hence the length of JM is 20
Factor 18r+15s escribe tu respuesta como un producto con un número entero >1?
Answers
Determine if the expression -z^3 + 8x is a polynomial or not. If it is a polynomial, state the type and degree of the polynomial. (Someone help me )
Answers
Answer No because it does not have a coefficient
Step-by-step explanation:
A coat is on sale for 30% off the original price of 120$.what is the amount of discount
Answers
Answer:
36
Step-by-step explanation:
You do 120 multiplied by .3 to get 36. This makes the discount amount is $36 which also means you only pay $84 for the coat.
A researcher begins an experiment with 50 bacteria. She notices each bacterium triples every hour. Which equation best represents this scenario?
A. y=3(50)x
B. y=3x+50
C. y=50(3)x
D. y=3x+50
Answers
Answer:
A. y=3(50)x
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
find the value of given expression
[tex] \sqrt{213 \times 213} [/tex]
Answers
Answer:
213 Answer ..............
Answer:
√{213×213}=√213²=±213 is your answer
a pilot is flying an airplane at an elevation of 17,500 feet. she is increasing her elevation at a rate of 2,500 feet per minute. which number line shows the solution set for the number of minutes the pilot could increase her elevation and be above 25,000 feet?
Answers
Answer:
y= *greater than or equal to sign* 2500x+17500
The answer is: A
Step-by-step explanation:
Hope this help :)
Answer:
It's C
Step-by-step explanation:
I put in A for my exam but it said it was incorrect and it said the answer was C :')
Anyone help please god lord please
Answers
here are the answers:
#1
#2=11
#3=-2
#4=70
What goes on the green box?
Answers
At a zoological garden, 3 people ride the tram for every 4 people who don't ride it. Write the ratio of people who ride the tram to all people in three ways. Write the ratio of all people to people who don't ride the tram in three ways. Write the ratio of people who ride the tram to all people in three ways.
Answers
Answer:
= 3 to 7
= 3 : 7
= 3/7
Step-by-step explanation:
Number of people who ride the tram = 3
Number of people who does not ride the tram = 4
Total people = 3 + 4 = 7
Ratio of people who ride the tram to all people in three ways.
= 3 to 7
= 3 : 7
= 3/7
Ratio of all people to people who don't ride the tram in three ways.
= 7 to 4
= 7 : 4
= 7/4
Ratio of people who ride the tram to all people in three ways.
= 3 to 7
= 3 : 7
= 3/7
The Martinez Family has driven 240 miles so far. Their total trip is 300 miles. What percentage of the trip have they already driven?
Answers
Work in picture ↓
Write down the x-coordinate of the point where y=x2-x and y=x+1 cross
Answers
A hollow ball is made of rubber that is 2 centimeter thick. The ball has a diameter of 20 centimeters at the outside surface.
What is the exact volume of rubber used to make the ball?
Please explain how to find the volume and i will mark brainliest
Answers
Answer:
628.57CM²
Step-by-step explanation:
20/2=10
VOLUME OF CYLINDER=PIR^2H
22/7*10*10*2=628.57
The determinant of the matrix
Answers
Answer:57
Step-by-step explanation:
(7 x 9) - (-3 x -2) = 57
V= u +at U=2 A=-5 T=1/2 Work out the value of v
Answers
Answer:
v =-1/2 hope it may help u
Step-by-step explanation:
v =u+at
v=2 -5/2
v=4-5/2
v=-1/2/2
Answer:
Step-by-step explanation:
Given
u = 2 , a = - 5 t = 1/2
Now
v = u + at
= 2 + (-5) * 1/2
= ( 4 - 5) /2
= - 1/2
The area of a rectangular parking lot is 8051 m ^2 . If the length of the parking lot is 97 m, what is its width?
Answers
Answer:
Width of rectangle = 83 meter
Step-by-step explanation:
Given:
Area of rectangle = 8,051 m²
Length of rectangle = 97 m
Find:
Width of rectangle
Computation:
Area of rectangle = Length of rectangle x Width of rectangle
97 x Width of rectangle = 8,051
Width of rectangle = 8,051 / 97
Width of rectangle = 83 meter
a local taxi company charges a base fare of $3.20. the taxi company charges $0.40 for every minute the taxi is in service
Answers
Answer: The equation would be x = 3.20 + 40m where m represents the minutes of service and x is the total cost.
Step-by-step explanation:
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Answers
Answer:
268.083
Step-by-step explanation:
volume of a sphere = 4/3 times pi times r^3. 4/3(pi)(4^3) = 268.083
Write an equation for the hanger diagram and then us the sketch to show how to solve the equation algebraically.
Answers
Step-by-step explanation:
Since there are 3 w's and a 1 on one side and 7 1's on the other and the hanger diagram shows they are even, we can set them equal to each other.
3w + 1 = 7 Subtract 1 from both sides
3w = 6 Divide 3 from both sides
w = 2
y = 100 - 8.9x percent
Answers
Find the value of x. Round to the nearest tenth. 9 4 x = [?]
Answers
Answer:
26.4° (nearest tenth)
Step-by-step explanation:
[tex]\boxed{sinθ = \frac{opp}{hyp} }[/tex]
[tex]sinx = \frac{4}{9} [/tex]
Taking the inverse of sine on both sides:
[tex]x = sin^{ - 1} ( \frac{4}{9} )[/tex]
x= 26.4° (nearest tenth)
What is the radius of 18 circle?
Answers
The area of the parallelogram below is ____ square meters.
Answers
Answer:
63
Step-by-step explanation:
9 * 7 = 63
Select all that are equivalent to a^2/a^9
Assume a \= 0
1
1
DONE
Answers
What is the equation from this graph?