What is the solution to the following system of equations?

2x + y = 0

x + 2y = 3

Group of answer choices

(0, 0)

(-1, 2)

(2, -4)

(-5, 4)

Answers

Answer 1
Answer: (-1,2)


Steps:

Solve by elimination

Multiply the first equation by 2 to make the coefficients of x in both equations the same

2(x+2y=3)

2x+4y=6

Then line them up and subtract

2x+y=0
-2x+4y=6

= -3y=-6

Divide both sides by -3 to isolate y

y=2


Then substitute 2 for y into one of the equations to find x.

x+2(2)=3

x+4=3

x=-1

Related Questions

At a jewelry store, the necklace costs $380.60, but the store is having
a 75% discount for Valentines Day. What is the new price of the necklace?
$95.15
O $190.30
O $266.42
$285.45

Answers

Answer: 95.15

Step-by-step explanation:

To find the answer, you have to multiply the original cost by the percent subtracted from 100. For example, 380.60 x .25=95.15

(I got the .25 from subtracting 100-75, and the 75 is the percent)

Answer: 95.15

Step-by-step explanation:

Multiply 380.60 by .75 and you get 285.45 subtract 380.60 and 285.45 and you should get 95.15

If x = -5, which inequality is true?

A. -4 - 3x > 7

B. -2 - 6x 14

D. 7 - x < 6

Answers

Answer:

A

Step-by-step explanation:

Its A because -4 - 3x > 7 because -1 - 7 is -6 but u have to - 1 because of the negative signs

What could be the value of x in the number sentence? 6 + x < 10

Answers

Answer:

the answer is 3 or less dhevvshsbdvdd

Greatest common factor of 25,50,75

Answers

Answer:

gcd (50; 75) = 25 = 5^2:

Step-by-step explanation:

hope it help

The greatest common factor of 25, 50 and 75 is 5*5, which is equal to 25.

We are given that;

The three numbers = 25, 50, 75

Now,

The greatest common factor (GCF) of two or more numbers is the largest positive integer that divides evenly into all the numbers with zero remainder.

To find the GCF of 25, 50 and 75, we can use the prime factorization method. This involves writing each number as a product of its prime factors and then finding the common factors among them.

The prime factorization of 25 is 5*5

The prime factorization of 50 is 2 x 5*5.

The prime factorization of 75 is 3 x 5*5.

The common factors of 25, 50 and 75 are 1 and 5*5.

Therefore, by factorization the answer will be 25.

Learn more about factorization here;

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If two lines are perpendicular, what must be true about the slopes of the two lines. Select all that apply.

.

slopes are the same

Slopes are reciprocals

Slope are whole values

Slopes are opposites (one positive and one negative)

Answers

Answer:

Concept: Linear Systems

Those that are parallel have equal slope, contrary those that are parallel have reciprocal. Hope this helps!

Help me with this answer I know there is no solution I just wanna know why

Answers

Answer:

The solution x = 0 means that the value 0 satisfies the equation, so there is a solution. “No solution” means that there is no value, not even 0, which would satisfy the equation. ... This is because there is truly no solution—there are no values for x that will make the equation true

Answer:

No solution

Step-by-step explanation:

The solution x = 0 means that the value 0. “No solution” means that there is no values

Drag the correct word into the space provided in order to complete the sentence.
If an outlier is included in a data set the....... is least affected

mean , median, range or standard deviation

Answers

Answer:

mean for the the second median for the 1st one

Step-by-step explanation:

Sharon makes bracelets and necklaces to sell at the school fair. She makes a total of 40 bracelets and necklaces. She makes 3 times as many bracelets as necklaces. Which system of equations can be used to determine how many bracelets, x, and how many necklaces, y, she m

Answers

Answer:

So, the system of equations are

x+y=40

x= 3 y

Step-by-step explanation:

Let's make system of equations for the given information.

Let x number of bracelets and y number of necklaces made.

So, for the information

She makes a total of 40 bracelets and necklaces, we can set up equation as

x+y=40

Now, for she makes 3 times as many bracelets as necklaces, we can set up equation as

x=3 y

What is the value of 2(5b - 7) in terms of y if b = 3y ?

Answers

2(5b-7), you can input b as 3y
2(5(3y)-7) —> 2(15y-7) —> 30y -14
—> 30y = 14 —> y = 14/30 —> y = 4.6667
It’s just 2(5(3y)-7) or 2(15y-7), which is 30y-14.

PLEASE HELP whats the answer for this problem

Answers

Answer:

it is 20 me and that other kid did the same thing

Step-by-step explanation:

5x+12 + 3x+8 =180

8x=180-20

8x=160

hope that helps brainly plz

x=20

Select the correct answer.
Which function has the same zeros as g(x) = -x3 + x2 + 12x?
ОА. .
y
-30
-20
10
1-10
-8
-6
-4
-2
6
8
10
-10
20

Answers

Answer: -30

Step-by-step explanation:

-30 bc it has the same functions.

Answer:

points -3,0,4 on a graph

Step-by-step explanation:

correct on edmentum or plato

−(5x−0.4)=−7(−0.4−x) need to be exact or rounded to the nearest hundredth.

Answers

Answer:

-0.2

Step-by-step explanation:

it's that exact answer , I did not rounded

Write the equation of the line fully simplified slope-intercept form. ​

Answers

y=-2/3x-5
i think is the answer

if i have 50 assignments to do and 4 days to do ot how many assignments do i need to do a dwy to get them done on time​

Answers

Answer:

12.5assignments

Step-by-step explanation:

50 assignments over 4 days

50/4

=12.5 assignments

Answer: I just did a semesters worth of work in a day and a half. You can do this!!! I know it’s frustrating and hard and you’re probably burned out but keep pushing. It’s worth it :)

Step-by-step explanation:

What is the domain of the square root function graphed below?
8
6
4
2
-6 -4
6
8
х
-6
X>1
O x21
OOOO
x>3
x23
Mark this and return
Save and Exit
Next
Submit

Answers

Answer:

x ≥ 3

Step-by-step explanation:

the domain of a graph consists of all the input values shown on the x -axis

The domain of the square root function graphed below would be x ≥ 3

What is a function?

Function is a type of relation, or rule, that maps one input to specific single output.

In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable , functions are indispensable for formulating physical relationships.

The domain is all  real numbers for x>3 and the range of the square root function graphed is equal to the interval------> [1,∞)

so, the range is all real numbers for x>3

Hence, the domain of a graph consists of all the input values of the x -axis.

Learn more about function here:

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Please answer correctly !!!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!

Answers

Answer:

x = 97

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Trigonometry

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

Step-by-step explanation:

Step 1: Define

We are given a right triangle. We can use PT to solve for the missing side length.

Step 2: Identify Variables

Leg a = 72

Leg b = 65

Hypotenuse c = x

Step 3: Solve for x

Substitute [PT]:                    72² + 65² = x²Exponents:                           5184 + 4225 = x²Add:                                      9409 = x²Isolate x:                               97 = xRewrite:                                x = 97

A puppy weight increases by 15% each week for the first 6 months. The puppy currently weight 3.7 pounds. which expression will not calvulate how much the puppy will weigh in 1 week? A) 3.7(0.15) B) 3.7(1.15) C) 3.7 + 3.7(0.15) D) 3.7 + 0.555​

Answers

Answer:

B) 3.7(1.15)

Step-by-step explanation:

which angles on the unit circle have central angles with measures less than 180 degrees

Answers

a central angle is an angle that can be created from the center of the circle.

30°, 45°, 60°, 90°, 120°, 135°, and 150° are central angles.


HELP ASAP! WILL MARK BRAINLIEST

Answers

Answer:

it will be the first the 5th the 2nd and the 3rd

-2/3h-4=4/3
a. -3
b.-8
c.3
d.8​

Answers

Answer:

its b

Step-by-step explanation:

Please answer correctly !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!

Answers

Answer:

11,60,62

Hope this helps

what isn’t your the first time in the year you have a baby shower

What is 1/3 (x + 15) = 3

Answers

Answer:

hi there

-6

Step-by-step explanation:

x=-6

Final Answer: [tex]x = -6[/tex]

Steps/Reasons/Explanation:

Question: What is [tex]\frac{1}{3} (x + 15) = 3[/tex]?

Step 1: Simplify [tex]\frac{1}{3}(x + 15)[/tex] to [tex]\frac{x+15}{3}[/tex].

[tex]\frac{x + 15}{3} = 3[/tex]

Step 2: Multiply both sides by [tex]3[/tex].

[tex]x + 15 = 3[/tex] × [tex]3[/tex]

Step 3: Simplify [tex]3[/tex] × [tex]3[/tex] to [tex]9[/tex].

[tex]x + 15 = 9[/tex]

Step 4: Subtract [tex]15[/tex] from both sides.

[tex]x = 9 - 15[/tex]

Step 5: Simplify [tex]9 - 15[/tex] to [tex]-6[/tex].

[tex]x = -6[/tex]

~I hope I helped you :)~

f(x) = x + 2
g(x) = 3x^2 - 5
Find (f•g)(x).

Answers

Step-by-step explanation:

(f o g)(x)

= f(3x² - 5)

= (3x² - 5) + 2

= 3x² - 3.

(f.g)(x) = 3x^2 - 3

f(x) = x + 2
g(x) = 3x^2 - 5

What is equation?

equation is the relationship between variable and represented as     is example of polynomial equation.

f(x) = x + 2
g(x) = 3x^2 - 5

now putting the x = g(x)
in f(x) = x + 2
Thus,
f(g(x)) = 3x^2 - 5 + 2
f(g(x)) = 3x^2 - 3

Thus, (f.g)(x) = 3x^2 - 3

Learn more about equation here:

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HELP ME PLEASE ! we’ll do brainlest?

Answers

Answer:

Only the first two

Step-by-step explanation:

Plot all the points on the graph in your mind and see if the points are either in the red or on a solid colored line. That will show you whether a  specific point is a solution to a system of inequality or not.

8÷(3-1) _2 ×5-2
plssss help ​

Answers

Answer:

8

Step-by-step explanation:

You always start with the equasions in parenthesis. 3-1 is 2 and 8 divided by 2 is 4. Then you can move on to the next part of the eqasion. You start by subtracting 2 from 5 and then multiplying that by 2.then you add up the answers and you gat 8.

what are 3 decimals between 5.7 and 5.8​

Answers

Answer:

5.75 , 5.76, 5.73

Step-by-step explanation:

Hope this helps!

A sequence is recursively defined by f(1)=3,f(n)=2* f(n-1) for n >=2. Write the equation for the nth term

Answers

Given:

[tex]f(1)=3,f(n)=2\times f(n-1)[/tex]         ...(i)

For [tex]n\geq 2[/tex].

To find:

The nth term for the given recursive formula.

Solution:

The given recursive formula is of the form of

[tex]f(n)=r\times f(n-1)[/tex]            ...(ii)

It is the recursive formula of a GP, where r is common ratio.

On comparing (i) and (ii), we get

[tex]r=2[/tex]

Now,

First term: [tex]a=f(1)=3[/tex]

Common difference: [tex]r=2[/tex]

nth term of a GP is

[tex]f(n)=ar^{n-1}[/tex]

Putting a=3 and r=2, we get

[tex]f(n)=3(2)^{n-1}[/tex]

Therefore, the equation for the nth term is [tex]f(n)=3(2)^{n-1}[/tex].

Tablets are on sale for 15% off original price with the function p(t)=0.85t

Answers

The answer would be 45% there you go

What the answer is for this question

Answers

Answer:

im pretty sure its 24

Step-by-step explanation:

because 12+12=24

The zoo has 12 Emperor penguins, which makes up 24% of all penguins at the zoo. How many penguins live at the zoo?​

Answers

Answer:

[tex]50[/tex] penguins

Step-by-step explanation:

Let [tex]p[/tex] = number of penguins at the zoo

[tex]24\%p=12[/tex] (Is given that 12 Emperor penguins at the zoo make up 24% of total penguins)

[tex]0.24p=12[/tex]

[tex]p=12\div0.24[/tex]

[tex]p=50[/tex]

∴ There are [tex]50[/tex] penguins at the zoo

Hope this helps :)

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