solving systems of equations by subsitution

Answers

Answer 1
Step 1: Solve one of the equations for one of the variables. Let's solve the first equation for y: ...Step 2: Substitute that equation into the other equation, and solve for x. ...Step 3: Substitute x = 4 x = 4 x=4 into one of the original equations, and solve for y.


Related Questions

1/3 ( 30y + 6 ) = 32
1/3 is a fraction. Solve for y

Answers

Y=3 vsetyhjjkhv I need to make this 20 characters

Answer:

y=3

Step-by-step explanation:

30y+6/3=23

6(5y+1)/3=32

2(5y+1)=32

5y+1=32/2

32/2=16

5y=16-1

16-1=15

y=15/5

y=3

help pls answerrrrff on math​

Answers

5 beacause 24 / 5 = 5

Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 2, and the given zeros. -4,0,2,4

Answers

Answer:

A least degree polynomial, having rational coefficients and a leading coefficient of 2, with,-4, 0, 2, and 4 as the zeros of the polynomial is;

f(x) = 2·x⁴ - 4·x³ - 32·x² + 64·x

Step-by-step explanation:

The given parameters of the polynomial are;

The leading coefficient of the polynomial = 2

The zeros of the polynomial = -4, 0, 2, 4

We note that zeros of -4, and 4 gives a factor of the form, (x² - 4²)

For a zero of the polynomial equal to 0, one of the factors of the polynomial is equal to 'x'

To have a leading coefficient of 2, we can add '2' as a factor of the polynomial

Therefore, we can have the factors of the polynomial as follows;

(x² - 4²)·2·x×(x - 2) = 0

From the above equation, using a graphing calculator, we get the following possible polynomial;

(x² - 4²)·2·x×(x - 2) = 2·x⁴ - 4·x³ - 32·x² + 64·x = 0

Therefore, a polynomial, function of least degree that has rational coefficients, a leading coefficient of 2,and the zeros, -4, 0, 2, and 4 is  f(x) = 2·x⁴ - 4·x³ - 32·x² + 64·x.

Which multiplication expression is equivalent to 3/8 ÷ (-5/8)​

Answers

Answer:

- [tex]\frac{3}{5}[/tex]

Hope this helps big boy

What is the next term of the geometric sequence?
20, -10,5,

Answers

Answer:

-2.5

Step-by-step explanation:

-1/2 is the number it is being miltiplied by

answer would be -2.5



because:
20 times -.5 is -10
-10 times -.5 is 5
5 times -.5 is -2.5

the reason for this geometric sequence, is each number being multiplied by -.5

a grocery store sells avocados for 4 dollars per pound what would be the cost of 2 3/4 lb of avocados? please help! its already late! -taylor aka GR0UPIEL0VE

Answers

Answer:

11 dollars

Step-by-step explanation:

First, we take 2 3/4 and make it a decimal: 2.75

We know one pound is 4 dollars, so 2.75 pounds of avocados would be 4 times 2.75 - 11 dollars.

Hope this helps!!! <3

A rectangle or field is 62 m long and 48 m wide Diana estimate the length of the field to be 60 m and the ways to be 45 m what is the percent error of Dianas estimated area measurement round your answer to the nearest whole percent

Answers

Answer:

To make estimates, we usually round the numbers the nearest integer.

Since 1.9 is closest to 2 than it is to 1, the nearest integer of 1.9 is 2.

Similarly, since 4.4 is closest to 4 than it is to 5, the nearest integer of 4.4 is 4.

Now, to estimate the area of the farm, we are going to multiply our two integers:

Estimated Area of the Farm= x

Since 8 is between 4 and 10, we can conclude that the best estimate of the area of the farm is: between 4 and 10

Step-by-step explanation:

graph
f(x) = (x - 1) (x + 4)?

Answers

Answer:

graph

Step-by-step explanation:

graph shown

intersected large curve

what was a effect on the war of 1812
PLEASE HURRY AND HELP ME ​

Answers

Answer:

The War of 1812 changed the course of American history. Because America had managed to fight the world's greatest military power to a virtual standstill, it gained international respect. Furthermore, it instilled a greater sense of nationalism among its citizens.

Step-by-step explanation:

¿Que fracciones representan los puntos A, B, C y Den la siguiente recta numérica

Answers

Answer:

can you translate this

Step-by-step explanation:

Solve for X

6+3x=12x-15​

Answers

Answer:

x=2.33

Step-by-step explanation:

6+3x=12x-15​

-9x=-21

x=21/9

x=2.33

Answer:

x = 2.33

Step-by-step explanation:

6 + 3x = 12x - 15​

6 = 9x -15

21 = 9x

x = 2.33

ty gets paid $15 an hour working at a resturant. the equation y=15x gives the amount of money he makes, y, after hours of work. which is true of the relationship between x and y

Answers

y determines how many hours, and x gives you the whole amount.

Adult tickets to a basketball game cost $5. Student tickets cost $1. A total of $3,077 was collected on the
sale of 1,201 tickets. How many of each type of ticket were sold?
The basketball game sold
adult tickets and
student tickets.

Answers

Answer:

Your problem will require you setting up 2 algebraic equations. First, you should.

Let A represent the number of adult tickets

Let S represent the number of student tickets

The first equation will be:

A+S = 1,215 tickets

The number of adult tickets plus the number of student tickets equals 1,215 tickets

The second equation will be:

5.00A+1.00S=$2,591

The price and number of adult tickets plus the price and number of student tickets equals $2,591.

I hope this has made the problem easier to understand. I hope you are able to solve the problem from here. If you can not solve the problem from here, I will be more than happy to further assist you.

Step-by-step explanation:

You have two unknowns, two variables, therefore you need to have at least two equations in this word problem in order to find a solution. Let's review the info you are given:

The price of an Adult ticket: $5

The price of a Student ticket: $1

The two variables are: the number of Adult tickets sold (you can use variable "A"), and the number of Student tickets sold (use variable "S").

The other info you are given is the total number of tickets sold: 1,215 tickets. Use this to make your first equation: the number of adult tickets plus the number of student tickets equals 1,215.

You are also told how much money was collected: $2,591. That means, $5 from every Adult ticket and $1 from every student ticket. We don't know how many of each ticket, but we assigned variables A and S to stand in for this unknown info. The money made from all the adult tickets would be the price of the adult ticket times how many adult tickets sold (5 times A), and the money made from all the student tickets would be the price of the student ticket times how many student tickets sold (1 times S). Use this to make your second equation, which says that all the money collected from all the tickets (5 times A in addition to 1 times S) is (=) 2,591.

Now you have two equations, each equation has two variables. To solve, go back to the easiest equation (the first one) and isolate one of the variables. By isolate I mean get it on one side of the equation by itself. Since in this case these variables are being added together, you have to do the opposite of addition, which is of course subtraction. To do this, you will have to subtract the other variable ON BOTH SIDES of the equation. So, say we want to isolate the variable A, we will subtract S from both sides. Well, S minus S is zero, so now A is isolated, meaning the left side of the equation is just A = ...  Now you want to subtract the S on the other side. Remember that whatever you do to one side you must do to the other.

Now that you have your equation re-worked to show A = ..., you need to "plug it into" the second equation. What I mean is, you need to substitute instead of A, put in this equation. Then you will have one equation with one variable which you can solve! Remember the rules of equations, to do work in parenthesis first, the multiply or divide, then add or subtract. You will be able to solve for S.

Once you have found S (the number of student tickets sold), you can easily find A (the number of adult tickets sold) by going back to that first equation and subtracting your value of S from 1215.

pls solve this besties 5^-2

Answers

Answer:

0.04

Step-by-step explanation:

Answer: 1/25

Step-by-step explanation: when you go to a negative exponent you get a fraction and .04 is the same as 1/25 by the ways.

factor 15x + 30y plz show work​

Answers

Answer:

60

Step-by-step explanation: Simplifying

15x + 30y = 60

Solving

15x + 30y = 60

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-30y' to each side of the equation.

15x + 30y + -30y = 60 + -30y

Combine like terms: 30y + -30y = 0

15x + 0 = 60 + -30y

15x = 60 + -30y

Divide each side by '15'.

x = 4 + -2y

Simplifying

x = 4 + -2y

Answer:

15 ( x + 2y)

Step-by-step explanation:

First 15x + 30y

(3x5)x + (2 x 3 x 5)y

3 x 5 (3x5x/3x5 + 2 x 3 x 5y/3x5)

3 x 5 (x + 2y)

15 (x + 2y)

Hope this helps :)

What is the value of m∠A + m∠B?

Answers

Answer: The answer is 90

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

A different number can be placed in each box to make the number sentences
true.
8 +
< 10
8 +
< 10
Enter the numbers in the box below. Explain how you found your answers.

Answers

I’m not sure but one of the numbers could be 1 and the other could be 0.5. These are possible answers that could go in the boxes. I got this because I knew that I had to get a number that’s less than 10. So when you do 8+1 you get 9 which is less than 10. I picked 0.5 because it said in the question we can’t pick the same number so I picked a decimal. When you do 8+0.5 you get 8.5 which is less than 10.
Hope this helped

Which angles are congruent to each other? Help ASAP

Answers

Answer:

Angles 2 and 4

Angles 3 and 1

Angles 5 and 7

Angles 6 and 8

Angles 10 and 12

Angles 11 and 9

Step-by-step explanation:

Angles 11 and 9 are congruent. Congruent angles have the same measure.

can someone plz help

Answers

Answer:

16

Step-by-step explanation:

Answer:

Your Answer is 16 bro Okk and good morning and please mark me as brainliest

What is the complex conjugate of the root x = 3i

Answers

Answer:

For example, the conjugate of 0 + √3 is 0 - √3, the conjugate of -√3 is √3, and the conjugate of 2 - 5√3 is 2 + 5√3.

Step-by-step explanation:

The complex conjugate of the root x = 3i will be x = -3i.

What is complex conjugate?

The complex conjugate of a complex number is the number that has equal real and imaginary parts that are opposite in sign but equal in magnitude.

A given complex function is x = 3i

As we know that the complex conjugate function is one in which the imaginary part of the function becomes negative.

The complex conjugate function will be:-

x = -3i

Therefore the complex conjugate of the root x = 3i will be x = -3i.

To know more about complex conjugate functions follow

https://brainly.com/question/16819078

#SPJ2

In January, a bookstore sells 450 books, but in February, it sells only 300 books. What is the percent of change from January to February?

50%
-33.3%
-50%
66.7%

Answers

Answer:

33.3

Step-by-step explanation:

i´m good at math but hit thanks

Find the values of x, y, and z. Round to the nearest tenth, if necessary.

(choices are 3.6, 4.5, and 6.5)

Answers

Answer: x= 4.5, y=3.6, z=6.5

Step-by-step explanation:

To find : x, y and z.

First label the triangle as A,B,C and D (as in the picture below).

ΔABC , ΔACD and ΔABD both are right triangles.

In ΔABC ,

[tex]y^2=3^2+2^2[/tex]        [By Pythagoras theorem]

[tex]\Rightarrow\ y^2=13\\\\\Rightarrow\ y=\sqrt{13}\approx3.6[/tex]

In ΔACD ,

[tex]AD^2=3^2+x^2\\\\\Rightarrow\ AC^2=9+x^2 \ \ ...(i)[/tex]        [By Pythagoras theorem]

In ΔABC ,

[tex]y^2+AC^2=(2+x)^2\\\\\Rightarrow\ AC^2=(2+x)^2-y^2\ \ ...(ii)[/tex]

From (i) and (ii), we get

[tex]9+x^2=(2+x)^2-y^2\\\\\Rightarrow\ 9+x^2=4+x^2+4x-(3.6)^2\\\\\Rightarrow\ 9=4+4x-12.96\\\\\Rightarrow\ 4x=9-4+12.96\\\\\Rightarrow 4x= 17.96\\\\\Rightarrow\ x=\dfrac{17.96}{4}\\\\\Rightarrow\ x=4.49\approx4.5[/tex]

Z = 2+x= 2+4.5 =6.5

Hence, x= 4.5, y=3.6, z=6.5

Two points in the (x, y) plane are a distance of 5 units apart. After a certain transformation is applied to both points, the two new points are 10 units apart. What was the transformation?

Answers

Answer:

translation

Step-by-step explanation:

Based on the information provided the type of transformation would have been a translation of one or both points. This means that either one or both points were moved. If only one point was moved it would have moved 5 units. If both were moved equally then they would have moved 2.5 units apart. Since we are not told the initial and end values of each point we cannot tell if the translation was a vertical or horizontal translation.

On Sunday, Sheldon bought 4 1/2 kg of plant food. He used 1 2/3 kg on his strawberry plants and used 1/4 kg for his tomato plants. How many kilograms of plant food did Sheldon have left? Which number sentence matches the problem? *
1 point

Answers

Answer:

[tex]2\frac{7}{12}[/tex] kg of plant food

Step-by-step explanation:

The second question doesn't have choices, so I'll answer the first question only.

In order to know how much plant food Sheldon has, you have to subtract [tex]1\frac{2}{3}[/tex] kg of plant food used for the strawberry plants from [tex]4\frac{1}{2}[/tex] kg of plant food. Then, [tex]\frac{1}{4}[/tex] kg will be subtracted from the difference.

[tex]4\frac{1}{2}[/tex] - [tex]1\frac{2}{3}[/tex] = ?

Let's convert both fractions into improper fractions first, so it will be easier to subtract.

[tex]4\frac{1}{2}[/tex] = [tex]\frac{9}{2}[/tex][tex]1\frac{2}{3}[/tex] = [tex]\frac{5}{3}[/tex]

Now, let's subtract.

[tex]\frac{9}{2}[/tex] - [tex]\frac{5}{3}[/tex] = [tex]\frac{17}{6}[/tex] or [tex]2\frac{5}{6}[/tex] kg of plant food

Next, you have to subtract [tex]\frac{1}{4}[/tex] kg of plant food used for the tomato plants from the remaining plant food of [tex]\frac{17}{6}[/tex] kg.

Let's subtract again.

[tex]\frac{17}{6}[/tex] - [tex]\frac{1}{4}[/tex] = [tex]2\frac{7}{12}[/tex] kg of plant food

Therefore, Sheldon has [tex]2\frac{7}{12}[/tex] kg of plant food left.

Simplify: (-7x° +7x°)+(-9x° +9+3x)

Answers

Answer:

-2x^3 - 4x^2 + 9

Step-by-step explanation:

You have to solve the equations in the parenthesis first then you just add the 9 to the end because it doesn't correspond with the rest of the variables "x"

SOMEONE PLEASE HURRY AND HELP ME WITH THIS FOR A P E X

Answers

Answer:    A

Step-by-step explanation:

8,4 cause they in there intersect there

first one to get the correct answer AND answer first gets points and a bonus .

Answers

Answer:

Its 1

Step-by-step explanation:

hELP I WILL GIVE BRAINLIEST TO THE CORRECT ANSWER

Answers

Answer:

It’s the number hairline

Step-by-step explanation:

Hairline cut it straight

Answer:

16x16x16x16

Step-by-step explanation:

Peter was thinking of a number. Peter divides by 7, then adds 5 to get an answer of 13. What was the original number?

Answers

Answer:

56

Step-by-step explanation:

5-13=8

7*8=56

Answer:

the answer is 56(fifty six)....

A garment is on sale for 25% off the regular price. If the discounted price is $57, then what is the original
price?

Show work please!

Answers

Answer:

$71.25

Step-by-step explanation:

57 increase 25% =

57 × (1 + 25%) = 57 × (1 + 0.25) = 71.25

Other Questions
The importance of this Bridge in its far-reaching effects at once entices and baffles the imagination. At either end of the Bridge lies a great city cities full of vigorous life. Opening Ceremonies of the New York and Brooklyn Bridge Seth LowRead this passage and identify the purpose that subjective language serves. Which sentence about drone rescue vehicles uses informationfrom the diagram and the passage detail in the chart? Which department protects America's natural resources? work out giving your answer in its simpliest form 2/3 3 3/5help asap I will give brainlist pls help me, i need to search about the concept of learning, learning elements and theorical poses of Howard gardner Who was at the top of the social structure in the Byzantine Empire? oquer e antagonista helppppppppp pleaseeeeee Evaluate the expression 7/13 8/11 Can anyone help me plz? what do you think are the most important competencies one must possess in order to be successful in running a chosen business How many atoms are in 5.00g of carbonQuestion 1 options:3.62 x 1025 atoms C2.51 x 1023 atoms C2.51 x 1024 molecules C3.62x 1023 atoms C Solve for xC. 120 2x 3xD. (2x+6) X 126 There are 5 red apples and 2 green apples in a bowl. Which phrase describes a ratio relationship between the two quantities? HELP!! 4. (01.02 MC)Which number line shows the solution to -3- (-1)? (1 point)o When the temperature on Earth drops abruptly, the land cools down faster than the sea.Which property of water allows water to be resistant to sudden temperature changes?choose 1 answer:-density-surface tension-high specific heat capacity-adhesion Divide. Then, check your work with multiplication. 2.8/ 16 Net Purchases + Purchases Returns and Allowances + Purchase Discounts equals:O A. Gross Profit.OB. Gross Purchases.O C. Net Income.OD. Net Loss. nWho is more likely to wear a "vestido?"O a policemana gravediggera parrota girlHurry please Write an equation in slope-intercept form for the line with slope and -intercept .