Answers
Answer:
y = [tex]-\frac{1}{3}[/tex]
[tex]2\frac{2}{3}=x[/tex]
Step-by-step explanation:
To solve a system of equations, solve one or both of the equations for the same variable. Then multiply one of the equations such that the coefficients of one variable are the additive inverse of the variable in the other equation. After doing so, add the two equations, then solve for the other variable using inverse operations. Finally, substitute the value of the other variable into one of the original equations in the system and solve for the unknown variable.
2x + y = 3
y = x - 2
First, manipulate the first equation such that the equation is solved for (y), this can be done using inverse operations,
y = 3 - 2x
y = x - 2
Now multiply the second equation by (2) so that the (x) coefficients are additive inverses of each other,
y = 3 - 2x
2y = 2x - 4
Add the equations,
3y = -1
Inverse operations,
3y = -1
/3 /3
y = [tex]-\frac{1}{3}[/tex]
Now back solve, substitute the value of (y) into the equation and solve for (x),
[tex]y=x-3\\[/tex]
Substitute,
[tex](-\frac{1}{3})=x-3[/tex]
+3
[tex]2\frac{2}{3}=x[/tex]
Related Questions
Find the area of the given shape?
Answers
Answer:
28
Step-by-step explanation:
Area for a triangle is
1/2(bxh) B-Base H-Height
So
1/2(7x8)
1/2(56)
=28
A manufacturer wishes to make a cereal box in the shape of a golden rectangle, based on the theory that this shape is the most pleasing to the average customer. If the front of the box has an area of 135 in^2, What should the dimensions be? round to the nearest inch. a. 16x8 b. 9x15 c. 10x14 d. 11x13
Answers
Answer: B 9 x 15
Step-by-step explanation:
Did it on edg
Use the number line to complete the statements.
A number line going from negative 10 to positive 10 in increments of 2.
The opposite of 4 is
.
The opposite of –8 is
.
Answers
Answer:
-4 and 8
Step-by-step explanation:
Answer:
The opposite of 4 is
✔ –4
The opposite of –8 is
✔ 8
Did it on Edge
Se quiere realizar la adición y multiplicación de los números enteros 43 y -32. En relación con los signos de las operaciones se puede decir que
Answers
Answer:
El caso de la adición es trivial.
La adición entre los números A y B es:
A + B
Entonces la adición entre los números 43 y -32 es:
43 + (-32)
No hace falta realizar la suma para darnos cuenta de que el resultado tendra signo positivo, esto se da porque el módulo del número positivo es mayor que el del número negativo.
Así tenemos:
43 + (-32) = 43 - 32 = 11
Para el caso de la multiplicación podemos recordar:
(+)*(+) = (+)
(-)*(+) = (-)
(+)*(-) = (-)
(-)*(-) = (+)
Entonces el producto entre un número positivo y uno negativo (como es nuestro caso con 43 y -32) siempre tendrá un signo negativo.
Entonces podemos concluir que el signo de la multiplicación entre esos dos números va a ser negativo.
También podemos resolver la multiplicación de otra forma para ver esto:
43*(-32)
43*( (-1)*32)
43*(-1)*(32)
(-1)*(43*32)
Que es claramente un número negativo.
The height of a cylinder is twice the radius of its base
Answers
Answer:
2πr³
Step-by-step explanation:
The volume (V) of a cylinder is calculated as
V = πr²h ← r is the radius and h the height
Here h = 2r, hence
V = πr² × 2r = 2πr³
Answer:
yes
Step-by-step explanation:
1. If you're trying to gain access to a credit card before you turn 21, which of
the suggestions rely on the support of your parent or guardian?
Answers
can someone pls help me
Answers
Answer:
x=−8 and y=−4
Step-by-step explanation:
8x−17y=4;−8x+15y=4
add eqn1 and 2
to eliminate x
you will get y=-4
put it zin eqn 1
x=-8
4) Graph f(x) 2(3)*. Compare the graph to the
graph of the parent function. Describe the domain
and range of f.
Answers
Answer it is 65
Step-by-step explanation:
Samantha has 52 jelly beans. She decides that she will eat 4 jelly beans per minute, and she wants to create an expression that represents how many jelly beans she has left after x minutes. Which of the following expressions correctly models this situation?
Select one:
A. 4x + 52
B. x + 52
C. -x + 52
D. -4x + 52
~and also if whoever answers doesn't mind, please put an actual explanation since I just wanna be able to fully understand the concept! It would be greatly appreciated! ~
Answers
Answer:
-4x+52
Step-by-step explanation:
So we know that Samantha has 52 jelly beans and that she'll eat 4 jelly beans per minute in X minutes.
It'd be 4*x=4x
Usually, it'd be 52-4x
But you can create an equivalent
Lets say x=5
So she'd eat 20 jelly beans
52-20=32
BUT
-20+52=32
So, the answer would be D
8.1g of sugar is needed for every cake made. How much sugar is needed for 6 cakes?
Answers
Answer:
48.6
Step-by-step explanation:
If you use 8.1g of sugar for 1 cake then 6 cakes will be 48.6g of sugar
Just do 8.1*6 and you will get 48.6
A fair six sided die is thrown .Find the probability of getting a 4
Answers
Answer:
1/6
Step-by-step explanation:
total no of out comes= 6
favourable out comes= 1
:. prob( getting 4)=1/6
7.17 x 10' and 8.17 x 1067
Answers
Answer:
1. =71.7
2. =8717.39
Step-by-step explanation: Hope this help :D
Suri makes $15 per hour and gets a weekly bonus of $25. Juan makes $14 per hour and gets a weekly bonus of $50. Is it possible for Suri and Juan to make the same amount of wages, y, by working the same number of hours, x, in one week?
Yes, because the slopes of the equations are different so the system of equations will have one solution.
No, because the slopes of the equations are different so the system of equations will have no solutions.
Yes, because the slopes of the equations are the same so the system of equations will have infinitely many solutions.
No, because the slopes of the equations are the same so the system of equations will have no solutions.
Answers
Answer:
Yes, because the slopes of the equations are different so the system of equations will have one solution.
Step-by-step explanation:
Can someone answer these? It like due in 15 mins
Answers
Answer:
1 = Supplementary
2 = Vertical
3 = Congruent
4 = Supplementary
5 = Complementary
6 = Adjacent
7 = never
8 = always
9 = sometimes
10 = 79°
11 = 28°
12 = 133°
Step-by-step explanation:
Which choice represents the simplified exponential expression? (11^-2)^7
PLEASE HELP!!!
Answers
Step-by-step explanation:
[tex]( {11}^{ - 2} ) ^{7} = {11}^{ - 2 \times 7} \\ = {11}^{ - 14} [/tex]
200 reduced by twice my age is 88
Answers
200 - x * 2 = 88
x = 56
y = 5 (0.3)? Is this exponential growth or decay?
Answers
I believe it is exponential growth
Answer: decay
Step-by-step explanation:
Maria had 10.5 pounds of flour. She used all of the flour to fill bags that hold 0.75 pound each.
How many bags was she able to fill? (:
Answers
Since each box contains 10 packages and each package weighs 3 lbs 4 oz which is equivalent to 3-1/4 lbs , then the weight of each box will be
(10 (3-1/4) = 32-1/2 pounds per box
The weight of 4 boxes will then be (4 boxes) (32-1/2 pounds per box) = 130 pounds.
She will be able to fit 14 bags
help please i been stuck for 2 hours........... the triangle above is a right-angled isosceles triangle. what would the measurement of x have to be, given that the hypotenuse is 8cm and legs a and b have the same length? please explain your answer
Answers
Answer:
4√2 or 5.66
Step-by-step explanation:
x² + x² = 8²
=> 2x² = 64
=> x² = 32
=> x = √32 = 4√2 or 5.66
Sarah will roll a fair number cube. The number cube is labeled 1 to 6. What is the probability that Sarah will roll a number greater than 2? HELP!
5/6
1/6
2/3
1/2
Answers
Answer:
5/6 or 4/6
Step-by-step explanation:
6-2=
4/6 -with out two
5/6 -including two
Anthony starts with $400 in his bank account. Over the course of a week, he withdraws $50, deposits $70, and withdraws $20. How much money is in his account?
show your work, please
Answers
Answer:
The answer is 400
Step-by-step explanation:
Withdraw means to take out, deposit means to put in. So you adding and subtracting all the numbers. 400-50+70-20= 400
OLEASE HELLPP I will mark good
Answers
Explanation
Hurry please
here is a triangle prism
why is the surface area of the prism, in square centimeters?
Answers
Answer:
Step-by-step explanation:
(6 * 4) + 2(10 * 5) + (10 * 6)
Multiply 6 by 4 to get 24.
24 + 2(10 * 5) + (10 * 6)
Multiply 10 by 5 to get 50, then multiply by 2 to get 100.
24 + 2(50) + (10 * 6)
24 + 100 + (10 * 6)
Multiply 10 by 6 to get 60.
24 + 100 + 60
Add 24 to 100 to get 124.
124 + 60
Add 124 to 60 to get 184.
184 cm²
The surface area of the prism is 184 cm².
Carl's grandfather is exactly 5 times older than Carl. Which three statements must be true? 1 SEE ANSWER
Answers
Answer:
x = 5y
Step-by-step explanation:
Let the age of Carl's grandfather be x
Let the age of his son be y
If Carl's grandfather is exactly 5 times older than Carl, this can be expressed as;
x = 5y
Hence the required expression is x = 5y
Please answer correctly! I will mark you Brainliest!
Answers
Answer:
27
Step-by-step explanation:
V=a^3=3^3=27
What is the unit rate? 52.5/2.5
Answers
Answer:
21
Step-by-step explanation:
You have 200 feet of fencing to build a rectangular dog pen. If you want the pen to have the maximum possible area. What should the dimensions of the pen be? Show your work.
Answers
Answer:
Each side would be 50 ft
Step-by-step explanation:
200/4=50
50*50=2,500
Techinally this is a square so if they really want it to be a "rectangle" it would be 51 and 49 and the areas would be 2,499...but the answer should be 50
Fatima paid for 5 pallets of grass to be delivered.
Each pallet of grass cost $129.95.
Fatima paid $76.20 for delivery.
What is the total amount Fatima paid?
A.$725.95
B.$649.75
C.$581.95
D.$1,030.75
Answers
• Each pallet of grass cost $129.95.
• Fatima paid $76.20 for delivery.
What is the total amount Fatima paid?
A $725.95
B $649.75
C $581.95
D $1,030.75
Answer:
A $725.95
Step-by-step explanation:
Given:
Number of Pallets = 5
Cost of each pallet = $129.95
Total amount spend on Pallets = Number of Pallets × Cost of each pallet =
Also given;
Amount spend on Delivery = $76.20
Total Amount Paid by Fatima = Total amount spend on Pallets + Amount spend on Delivery =
Hence Fatima paid a total amount of $725.95.
Someone is the age of 550 more than (97x90)+(2+0)+(1x4)+(9+14). How old is he?
Answers
Answer:
9,309
Step-by-step explanation:
550 + (8,730) + 2 + 4 + (23)
= 550 + 8,730 + 2 + 4 + 23
= 9,309
A group of four friends went out for dinner. Their bill came to $50.95. They also need to pay 8% sales tax, and want to tip their server 18% on the cost of the meal (including tax). How much will EACH friend have to pay? Round your answer to the nearest cent.
Answers
Answer:
Enter cost and tip percent to get a tip amount and total dinner amount. Also split the total amount; divide among any number of people. ... Money, Pay, Taxes. > Tip ... Enter your meal or dinner cost along with the tip percentage. ... To calculate a gratuity or tip on any calculator it is a simple multiplication. ... All rights reserved
Step-by-step explanation:
After eating at your favorite restaurant, you know that the bill before tax is $52.60 and that the sales tax rate is 8%. You decide to leave a 20% tip for the waiter based on the pre-tax amount. How much ... To figure out the tip, you need to find 20% of $52.60. 0.2 \times 52.6
The amount that each person should pay is $22.06 .
What is percent?Percentages can be stated as essentially fractions where the denominator is 100. To show that a number is a percent, we use the percent symbol (%) beside the number. We can take as example, if you got 75 questions right out of 100 on a test (75/100), you would have scored 75%.
here, we have,
in the question ,
it is given that
total number of persons = 3 person + 1 = 4 persons
cost of the meal = $72.50
sales tax percent = 6.75%
tip percent = 15%
So , the amount of sales tax = 6.75% of cost = 0.0675 * 72.50 = $4.89
and , the amount of tip is = 15% of cost
= 0.15 * 72.50
= 10.87
So , the total amount payable is = cost + sales tax + tip
= 72.50 + 4.89 + 10.87
= 88.26
since the total number of persons is 4 ,
the amount per person is = 88.26/4 = 22.06
Therefore , The amount that each person should pay is $22.06 .
Learn more about Percent here
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