Solve the system of equations using elimination.
3x-2y=5
x+2y=3

Answers

Answer 1

Answer:

x = 2

y = 1/2

Step-by-step explanation:

3x - 2y = 5

x + 2y = 3

We don't have to mutiply anything because we have values that we can eliminate.-2y and 2y can be crossed off becuase they have the same value and plus and minus cancel out. We can add instead of changing the signs.

4x = 8

x = 2

Now we know that x = 2. To find y we have to plug in x into one of the equations. I am going to use x + 2y = 3.

2 + 2y = 3

2y = 1

y = 1/2

Now we figured out y. I hope I helped!


Related Questions

Rudolfo has 15 toys in his toy box, and he adds 2 new toys every month. Based on this
information, which representation best shows this relationship between the number of toys
Rudolfo has in his toy box, y, and the number of months that have passed, x?

Answers

Answer:

G

Step-by-step explanation:

(x)0 months: (y)15 toys, 1:17, 2:19, 3:21, 4:23, 5:25, 6:27, 7:29, 8:31, etc.

The equation that represents best shows this relationship between the number of toys Rudolfo has will be y = 2x + 15. Then the correct option is G.

What is a linear equation?

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Rudolfo has 15 toys in his toy box, and he adds 2 new toys every month.

Let x be the number of months and y be the total number of toys. Then the equation is given as,

y = 2x + 15

The equation that represents best shows this relationship between the number of toys Rudolfo has will be y = 2x + 15. Then the correct option is G.

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Use the geometric mean (altitude) theorem. What is the
value of m?
4
2 √7
4 √10
160

Answers

Answer:4 10

Step-by-step explanation:

Answer:4 √10

Step-by-step explanation:

edgy

The following is an example of what type of sequence? 3, 11, 19, 27, 35...
a geometric
C. ratio
b. arithmetic
ddifference

Answers

B....................

Answer:

b. Arithmetic .

Step-by-step explanation:

b because  to get the next term you add 8.

An item on the sale rack at a local supermarket was marked $3.42. The original price of the item was $4.75.
What was the percent of the discount?

Answers

Answer:

$475

Step-by-step explanation:

The percentage of discount of the item is 72 %

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the percentage of discount in the price be = A

The marked price of an item at the supermarket = $ 3.42

The original price of an item at the supermarket = $ 4.75

Now , the equation will be

The percentage decrease = ( marked price of an item at the supermarket / original price of an item at the supermarket ) x 100

Substituting the values in the equation , we get

The percentage decrease A = ( 3.42 / 4.75 ) x 100

The percentage decrease A = 0.72 x 100

The percentage decrease A = 72 %

Therefore , the value of A is 72 % and the percentage of discount is 72 %

Hence , The percentage of discount of the item is 72 %

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Jack’s car used 18 gallons of gasoline to go 468 miles. At that rate, how many gallons would be used to go 754 miles? Explain how you know.

Answers

It would take 29 gallons of gas because when you divide 468/18=26 and then you would divide 754/26=29.

Answer:

29 gallons.

Step-by-step explanation:

For every gallon, a total number of 468/18 miles = 26 miles could be travelled.

And hence, to travel 754 miles, a total of 754/26 gallons = 29 gallons would be needed.

Hope this helped!

Which of the following events is impossible?

Spinning a number that is neither odd nor even.
Spinning an odd number.
Spinning a number greater than 1.
Spinning a number less than 1.

Answers

Answer: number 4

Step-by-step explanation:

Answer:

Spinning a number that is neither odd nor even.

Step-by-step explanation:

Every number is either odd or even

A cone had a height of 16 inches and a radius of 14 inches . If pi is 3.14 what is the volume ?

Answers

Answer:

3284.01, brainliest if correct pls

Step-by-step explanation:

Answer:

3282 cubic inches.

Step-by-step explanation: Just times 14 times 14 since its in radius form then times by 16 then by 3.14 last divide by 3.

Ms. Davis counts 12 large boxes and 18 small boxes of pencils in the supply cabinet. Each large box contains 144 pencils. Each small box contains 24 pencils. Estimate the number of pencils. Is your estimate an underestimate or an overestimate? The find the exact answer.

Answers

Answer:

Estimated amount of pencils = 2040 pencils

Exact amount of pencils = 2160 pencils

Step-by-step explanation:

Estimated amount of pencils are calculated by:

rounding up the numbers to the nearest tens

large box= 144 pencils = 140 pencils

small box = 24 pencils = 20 pencils

Estimated number of pencils =

(12 × 140) + (18 × 20)

= 1680 + 360

= 2040 pencils

This is an underestimate

The exact number of pencils is calculated as:

(12 × 144 pencils ) + (18 × 24 pencils)

= 1728 pencils + 432

= 2160 pencils

Which of these is the algebraic expression for "4 times the sum of 2 and y?"
4. 2 + y
4(2 + y)
2 +4.7
2(4 + y)

Answers

The answer is 4(2+y)

Okay so how would you simplify 6/7 divided by 1/2 to show work?

Answers

Answer:

1   5/7

Step-by-step explanation:

well lets show you!!

6/7 ÷ 1/2 = (Always flip the fraction on the right side) 6/7 x 2= 12/7 = 1   5/7

Hope this helps ∞<3

what is the value of (-0.7)(6.0)

Answers

Answer:   Look below

  Step-by-step explanation: its not letting me put the answer in its said its i

For the picture I think you can zoom in to see it more clearly.

Answers

Answer:

y=15x

Step-by-step explanation:

YEPP PRETTY CONFIDENT IN THE ANSWER

9514 1404 393

Answer:

  s = 15w

Step-by-step explanation:

The problem statement tells you the dependent variable is s, and the independent variable is w. Unfortunately, the graph axes are labeled y and x instead of s and w. The line on the graph has a "y-intercept" of 0 and a rise/run of 30/2 = 15.

The equation asked for is ...

  s = 15w

Use inductive reasoning to predict the most probable next number in each list.
6, 9, 15, 24, 36, 51, ?

Answers

Answer:

69

Step-by-step explanation:

The numbers increase by 3 more than the previous amount increased by.

6 +3 9 +6 15 +9 24 +12 36 +15 51 +18 69

69 ! ............................

5 divide by 8 plus 9

Answers

Answer:

9.625

5 divided by 8= 0.625 + 9 = 9.625

Step-by-step explanation:

Answer:

9.625

Step-by-step explanation:

5/8=0.625, than add 9 to it, and have 9.625

The Jackson's dinner cost $125. They left $21.25 as a tip. What was the percentage of the tip? Please explain and help me! THANK YOU!!!

Answers

Answer:

17%

Step-by-step explanation:

to find the percentage of something, you have to fill out the following formula:

x/100 = 21.25/125. Basically that is saying that some percent out of 100 is equal to 21.25 out of 125. To solve that, you have to cross multiply:

125x = 2125

then you have to divide, to single out x:

the answer is 17

so it is 17%

17%
Divide the tip by the amount dinner was and you get your percentage for the tip

Create an expression that would represent the area of a triangle.

Answers

Answer:

a = 1/2 (15 *5)

Step-by-step explanation:

a = 1/2 (b * h)

     1/2 (15 *5)

Answer:

1/2 (15x5)

Step-by-step explanation:

Area = 1/2bh

The solution of 3x - 4 ( x - 2 ) = 0 is ;

Answers

Answer:

8

Step-by-step explanation:

simplify the expression

3x - 4x+8 = 0

put like terms together 3x-4x = -x

-x + 8 = 0

add x on both sides

x = 8

happy holidays :)

please click the heart to give thanks :)

Step-by-step explanation:

STEP 1:

Equation at the end of step 1

 (3x - 4)2  = 0

STEP 2:

Solving a Single Variable Equation:

2.1      Solve  :    (3x-4)2 = 0

 (3x-4) 2 represents, in effect, a product of 2 terms which is equal to zero

For the product to be zero, at least one of these terms must be zero. Since all these terms are equal to each other, it actually means :   3x-4  = 0

Add  4  to both sides of the equation :

                     3x = 4

Divide both sides of the equation by 3:

                    x = 4/3 = 1.333

One solution was found :

x = 4/3 = 1.333

Mrs. Hidalgo paid $30 for 4 students to visit an art museum. Find the cost for 20 students.

Answers

Answer:

The cost for 20 students would be $120

Step-by-step explanation:

We know that 4x5=20 therefore we will multiply 30x4 which will give us 120.

Our final answer would be $120

fill in the blanks
50 = __ 9 + __

Answers

Answer:

49 +1 =50 is the answer you are looking for

A business held a job fair for prospective employees. The number of women attending was 10 more than three times the number of men attending. A total of 180 people attended the meeting. Which system of equations could be used to find w, the number of women, and m, the number of men, at this meeting?
1. w = m + 10
w + m = 180

2. w = m + 10, , w + m = 180,
3w + m = 10

3. w + m = 180
3w + m = 10, , w + m = 180,

4. w = 3m + 10
w + m = 180

Answers

Answer:

Step-by-step explanation:

Option 4 is the correct answer

If someone could answer this, that'd be great!
(359x+1000)-(175x+.50m+62.36)

Answers

you can’t get an exact answer but you can simplify it. I got:
184x + 937.64 - 0.5m

Evaluate the step function for the given input values.
-4, -35 x < -1
-1, -1sx<2
g(x) =
3, 25x< 4
5, x 24
9(2) =
g(-2) =
g(5) =

Answers

Answer:

I would, but the way this is set up is VERY confusing. sorry. maybe try to fix it after copying and pasting to make sure it makes sense.

The evaluated values of the step function for the given input values are as g(-2) = -4, g(2) = 3, and g(5) = 5.

To evaluate the step function g(x) for the given input values, we need to follow the conditions specified for each interval.

Given the step function:

g(x) =

-4, x < -1

-1, -1 ≤ x < 2

3, 2 ≤ x < 4

5, x ≥ 4

Let's evaluate the step function for each input:

g(-2):

Since -2 is less than -1, the condition for the first interval is satisfied. Therefore, g(-2) = -4.

g(2):

Since 2 is less than or equal to 4, the condition for the second interval is satisfied.  Therefore, g(2) = 3.

g(5):

Since 5 is greater than or equal to 4, the condition for the last interval is satisfied. Therefore, g(5) = 5.

Hence, we have:

g(-2) = -4

g(2) = 3

g(5) = 5

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PLS HELP ASAP

What is the value of X?
The answer is 8 but I need to show the work pls help

Answers

Answer:

x = 8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Geometry

All angles in a triangle add up to 180°

Step-by-step explanation:

Step 1: Set up Equation

(7x - 1) + 80 + (6x - 3) = 180

Step 2: Solve for x

Combine like terms:                    13x + 76 = 180Isolate x term:                              13x = 104Isolate x:                                       x = 8

Answer: x = 8

Step-by-step explanation:

Hoped this helped

What is the slope of AB?

Answers

-2/3 from A you go to the right 3 times which is 3 x and you go down 2 which is -2y

Answer: -2/3

Step-by-step explanation:

If you want to find the slope of something, the quick way is to use [tex]\frac{rise}{run}[/tex].

In this situation, the “rise” (change in y axis) is -2 because it’s going down and the “run” (change in x axis) is 3. Therefore, it’s -2/3.

The formula to find slope is:

[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1} }[/tex]

(I think, if I memorized it correctly)

CAN SOMEONE PLEASE HELP ME WITH THIS please please help me with this please please

Answers

Answer:

Congruent

3x= 360 I believe if this is the outside of the triangle?

x= 120

Step-by-step explanation:

brainliest

Answer:

1. Congruent

2. 3x= 360

3. x= 120

Step-by-step explanation:

Y’all I need it by today please


Find the equation of the quadratic function y = ax^2+ bx + c which
passes through the points (-1, 9), (2, 3), and (5, 15).

Answers

Answer:

y=(x-1.5)^2+2.75

Step-by-step explanation:

Hope I could help!

help me plssssssssssssss

Answers

Answer:

D

Step-by-step explanation:

3/4 × 2/6 = 1/4

3/4÷6/2=1/4

D is ur answer
explanation:

find the domain of the graphed function​

Answers

Answer:2 < x < 5

Step-by-step explanation:

I should look like this but with lines under the less than symbol

The domain of the graphed function is x ∈ (2,5), which is defined in the interval 2 < x < 5.

If the parent function is y = x² and it is defined in the x-coordinate interval 2 < x < 5, the domain of the graphed function would be the same interval, namely 2 < x < 5.

The domain of a function represents the set of all possible input values (x-values) for which the function is defined.

Here, since the parent function y = x² is defined for all real numbers, the domain of the graphed function will also be all real numbers within the specified interval, which is 2 < x < 5.

Thus, the domain of the graphed function is x ∈ (2,5).

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What is the area of a rectangle with a width of x2 + x + 1 and a length of
3x2 - 2x - 1?

Answers

Answer:

[tex]x^{4}[/tex] + 3x³ - 3x - 1

Step-by-step explanation:

The area (A) of a rectangle is calculated as

A = lw ( l is the length and w the width ) , thus

A = (3x² - 2x - 1)(x² + x + 1)

Each term in the second factor is multiplied by each term in the first factor, then

A = 3x²(x² + x + 1) - 2x(x² + x + 1) - 1(x² + x + 1) ← distribute parenthesis

   = 3[tex]x^{4}[/tex] + 3x³ + 3x² - 2[tex]x^{4}[/tex] - 2x² - 2x - x² - x - 1 ← collect like terms

   = [tex]x^{4}[/tex] + 3x³ - 3x - 1

how do we find the value of y when x = 0​

Answers

Answer:

both variables are just 0-

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