Which statement explains why the two systems of equations below have the same solution
Answers
Answer: "B"
The first equation B is the sum of the equations in A, while the other is obtained by multiplying the first equation in A by 2.
The first equation B is the sum of the equations in A, while the other is obtained by multiplying the first equation in A by 2 hence, the correct option is second.
What is a system of equations?An equation is an expression that shows the relationship between two or more numbers and variables.
A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
We are given the system of equation as;
A, { 6x + 8y = -10}
{2x - 5y = 12}
B, {8x + 3y = 2}
{12x + 16y = -20}
If we add the first two equations that shown in A, then;
6x + 8y + 2x - 5y = -10 + 12
8x + 3y = 2
Now the first equation in A would be multiplied by 2, So
2(6x + 8y = -10)
12x + 16y = -20
Therefore, the correct option is Option B.
Learn more about equations here;
https://brainly.com/question/25180086
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Related Questions
complete the ratio table below
Answers
Sherry uses the steps below to solve the equation x + (negative 8) = 3 x + 6.
Step 1 Add 1 negative x-tile to both sides and create zero pairs
Step 2 Add 8 positive unit tiles to both sides and create zero pairs.
Step 3 Divide the 14 unit tiles evenly among the 2 x-tiles.
Step 4 The solution is x = 7
What is Sherry’s error?
In step 1, she should have added 3 negative x-tiles to both sides.
In step 2, she should have added 6 negative unit tiles to both sides.
In step 3, she did not divide the tiles evenly.
In step 4, she should have found the solution x = negative 1.
Answers
Step-by-step explanation:
The given equation :
x + (negative 8) = 3 x + 6.
or
x+(-8) = 3x+6
Step 1.
Add (-3x) to both sides of the equation.
x+(-8) + (-3x) = 3x+6 +(-3x)
x-8 = 3x +6
Step 2.
Add 8 positive unit tiles to both sides and create zero pairs.
x-8+8 = 3x +6 +8
x = 3x +14
Step 3.
x-3x = 14
-2x = 14
x = -7
Hence, step 1 is incorrect as she should have added 3 negative x-tiles to both sides.
Answer:
Step 2
Step-by-step explanation:
2y + 4x = 16
Anyone know how to solve for Y?
Answers
Answer:
y = -2x + 8
Step-by-step explanation:
In this question, you have to solve for "y".
Solve:
2y + 4x = 16
Get "y" by itself by subtracting 4x from both sides.
2y = -4x + 16
Simplify by dividing both sides by 2.
y = -2x + 8
Answer:
this i what i got..........
I need help. How do i solve this?
Answers
Answer:
C
Step-by-step explanation:
Cool
Which of the following shows a reflection of the triangle over the horizontal axis?
Answers
Answer:
Either C or D
Step-by-step explanation:
Because I can only see a and b and both are wrong. Try taking a better pic then ill answer it again.
Answer:
The fourth option
Step-by-step explanation:
It reflexs accros the x axis which is horizontal
there are 12 ribbons all of them equal 3 feet how long is each ribbon?
Answers
Answer:
i think
12 x 3 = 36 feet long
Answer:
36 feet and maybe check me out on sou-ndcloud and spo-tify and rate a sound I made "Jealousy is a bltch I hate her" might wanna turn down ur headphones and audio in general
Step-by-step explanation:
Which of the following are ordered pairs for the equation y = 3 /4 x + 6 ?
a. ( 6 , 0 ) ( 10 , 3 ) ( 14 , 6 )
b. ( 6 , 0 ) ( 9 , 4 ) ( 12 , 8 )
c. ( 0 , 6 ) ( 4 , 9 ) ( 8 , 12 )
d. ( 0 , 6 ) ( 3 , 10 ) ( 6 , 14 )
Answers
A car travels 120 miles on 2 gallons of gas. How far does the car travel on 1 gallon of gas? *
Answers
Answer:
60 miles
Step-by-step explanation:
120/2=60 or 60x2=120
Answer:60 miles
Step-by-step explanation:
120/2=60
7. The unlabeled graph shows the relationship
between two customary units of measure.
Only two pairs of units can be represented
Mini-Task
by the graph.
10
8
6
2
0 24
6
8 10
a. Determine the possible pairs of units.
b. Describe the relationship for each pair.
Answers
Answer:
I am not sure about that
An account has a principal of $500 and a
simple interest rate of 3.3%. How much interest
would be earned after 3 years?
Answers
Answer:
$49.50
Step-by-step explanation:
Simple interest formula => interest = principal x rate x time period
interest = 500 x .033 x 3 years
interest = 49.50
I hope this helps!
-TheBusinessMan
Which of the following values of t will result in a true statement when substituted into the given equation?
1/2 t-4(2+t)=20
A. t = 8
B. t = -8
C. t = 11
D. t = -12
Answers
Answer:
c
Step-by-step explanation:
In our amusement park that we built this week, the ride Diablo’s Domain had revenue of $250,000,000 in its first year as expected. The company paid $750,000 for insurance or $3 for every $1,000 in revenue. If the park is wildly successful and revenue increases by 25% in the second year and the rate of $3 for every $1,000 holds true, how much would it pay for insurance? Do you think it’s reasonable for insurance costs to increase proportionally? Why or why not?
Answers
Answer:
The amount to be paid for insurance will be $ 937,500. In this context, it is reasonable that insurance costs increase proportionally, as the ride will have a greater use and, therefore, a greater exposure to risk.
Step-by-step explanation:
Given that the amusement park Diablo's Domain ride generated $ 250,000,000 in revenue, and the company paid $ 750,000 in insurance for that game ($ 3 for every $ 1,000 in profit), to determine the amount of insurance that should be paid if the winnings increase by 25% and the same proportion of 3/1000 to be paid is maintained, the following calculation must be made:
(250,000,000 x 1.25) x (3/1000) = X
312,500,000 x 0.003 = X
937,500 = X
Therefore, the amount to be paid for insurance will be $ 937,500.
Solve the question below, please
Answers
Answer:
x = 133.33°
Step-by-step explanation:
The Law of Cosines
It relates the length of the sides of a triangle with one of its internal angles.
Let a,b, and c be the length of the sides of a given triangle, and x the included angle between sides a and b, then the following relation applies:
[tex]c^2=a^2+b^2-2ab\cos x[/tex]
Since we know the values of all three side lengths, we solve the equation for x:
[tex]\displaystyle \cos x=\frac{a^2+b^2-c^2}{2ab}[/tex]
For the triangle in the figure: a=4.1, b=8.5, c=11.7, x=angle C. Applying the formula:
[tex]\displaystyle \cos x=\frac{4.1^2+8.5^2-11.7^2}{2*4.1*8.5}[/tex]
[tex]\displaystyle \cos x=\frac{-47.83}{69.7}[/tex]
[tex]\displaystyle \cos x=-0.6862[/tex]
[tex]x = \arccos (-0.6862)[/tex]
x = 133.33°
A city has a population of 390,000 people. Suppose that each year the population grows by 6%. What will the population be after 15 years?
Use the calculator provided and round your answer to the nearest whole number.
Answers
Answer:
uh 351,000? im not sure..
Step-by-step explanation:
Three runners are running a relay race. The first runner runs 3 2/3 miles , the second runner runs
2 2/3miles, and the last runner runs 1 1/6 miles.
How many miles was the whole race?
Answers
Answer:
I think its uh carrot
Step-by-step explanation:
PLEASE HELP IM TIMED whats 1 divded by 1
Answers
Answer:
1
Step-by-step explanation:
1 divided by anything is that number. So with that information 1 divided by on would be 1.
solve for c
c+d=15
3c+2d=36
WILL MARK BRAINLIEST AND MANY POINTS PLS ANSWER
Answers
6+9=15
3(6)+2(9)=36
18 + 18 = 37
c = 15 - d ( get c by itself first)
3(15 - d) + 2d = 36 (replace c with 15 + d)
45 - 3d + 2d = 36 (distribute)
45 - d = 36 (combine like terms)
-d = -9
d = 9
find the cube root of 0.000216
Answers
Answer:
0.06
Step-by-step explanation:
hope that helps :))
Given the linear equation Ax+By=8,it's x intercept is (8,0) and y-intercept is (0,8). What are the values of a and b
Answers
Answer:
A=1, B=1
Step-by-step explanation:
Equation of the line in intercept form
The intercept form of the equation of a line is:
[tex]\displaystyle \frac{x}{h}+\frac{y}{k}=1[/tex]
Where:
h = x-intercept
k = y-intercept
We are given the y-intercept (0,8) and x-intercept (8,0), thus the equation is:
[tex]\displaystyle \frac{x}{8}+\frac{y}{8}=1[/tex]
Multiplying by 8:
x + y = 8
Thus, the values of A and B are:
A=1, B=1
Which expression is equivalent to |b| > 6 ?
b 6
b 6
b > –6 or b –6 and b < 6
Answers
Answer:
number 3. is the correct answer.
What is greater? 50 ppm (parts per mile) or 1.1 meters?
Answers
Solve 3[-x + (2x+ 1)] =X- 1.
x= ?
Answers
Answer:
x= -2
Step-by-step explanation:
what is the name for the marked?
Answers
Answer:
C not sure though
Step-by-step explanation:
Explanation: it’s a connected line and it can’t be DAC since there isn’t a option for that
Hope this helped! :)
Find the nth term of
1x2x3+2x5x6+3 x 4x
Answers
Answer:
66+12x
Step-by-step explanation:
1x2x3+2x5x6+3x4x
6+60+12x
66+12x
Line A is parallel to line B, if the measure of<2 is 78 degree, what is the measure of < 5 degree?
Answers
Answer:
h
Step-by-step explanation:
h
35 points! Will mark Brainliest! Real answers only!
Answers
Answer:
Ty for the free poiunts!
Step-by-step explanation:
You got the answer right LLO
Answer:
Yea the answer is right
Step-by-step explanation:
Solve the equation for x. −3=x3−6
A. x=−27
B. x=9
C. x=0
D. x=−6
Answers
Who ever helps gets barinliest.
Answers
Answer:
1/8
Step-by-step explanation:
The second option is the answer
Will mark brainliest!!!Please find the value of each variable in the parallelogram!!
Answers
Answer:
a=9
b=11
Step-by-step explanation:
opposite sides of a parallelogram are congruent(aka equal)
so, a=9
b=11
Answer:
A is 9 units and B is 11 units.
Step-by-step explanation:
In a parallelogram, there are 2 parallel line. And they are congruent. So whatever their parallel line is equal to, it is the measure of that variable.
please solve[tex]e^x=44[/tex] Thank You
