Solve by using substitution
x=3y-1
x+2y=9

Answers

Answer 1

Answer:

x=3y−1x=3y-1

x+2y=9x+2y=9

Replace all occurrences of xx with 3y−13y-1 in each equation.

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Replace all occurrences of xx in x+2y=9x+2y=9 with 3y−13y-1.

(3y−1)+2y=9(3y-1)+2y=9

x=3y−1x=3y-1

Add 3y3y and 2y2y.

5y−1=95y-1=9

x=3y−1x=3y-1

Solve for yy in the first equation.

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Move all terms not containing yy to the right side of the equation.

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Add 11 to both sides of the equation.

5y=9+15y=9+1

x=3y−1x=3y-1

Add 99 and 11.

5y=105y=10

x=3y−1x=3y-1

Divide each term by 55 and simplify.

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Divide each term in 5y=105y=10 by 55.

5y5=1055y5=105

x=3y−1x=3y-1

Cancel the common factor of 55.

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Cancel the common factor.

5y5=1055y5=105

x=3y−1x=3y-1

Divide yy by 11.

x=5,y=2

Step-by-step explanation:

please mark me as brainliest thank you


Related Questions

What is greater -3.2 or -3

Answers

Answer:

-3 is greater

Step-by-step explanation:

Have a good day :)

I think that it is greater

A football player has made 80% of the field goals he has attempted in his career. If he
attempts 45 field goals in a season, how many would he be expected to make?

PLEASE ANWSER SERIOUSLY

Answers

Answer:

im pretty sure its 56.25 cus 45= 80% of 56.25

Step-by-step explanation:

9 ⅚ + 1 ¼ + ___________ = 14

Answers

Answer:

14

reeaADADSDDSSA

Step-by-step explanation:

[answer 1 11/12 or 2.917]

1. 9 5/6 + 1 1/4 =  11 1/12

2. 14 - 11 1/12 = 35/12 then you smiplfy to get  1 11/12 or 2.917

freh points for da butter dog the dog wit da butter

Answers

Answer:

tanks for the freh points

Step-by-step explanation:

we all like freh points

Answer:

butter dog sounds cool

Step-by-step explanation:

EXOTIC BUTTERS?

solve the proportion 9x=62

Answers

Answer: x=6.8

Step-by-step explanation:

I figured it out ;)

Answer:

x=6.889

Step-by-step explanation:

9x=62

x=62/9

x=6.889

HEELLPPP!!!!! fastttt plzzzzz!

The sales for products sold at an electronic store are below. What percent of the products sold were speakers?

Answers

Answer:

6.00%

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

I
A 10 kg box is pulled across the floor at a constant speed. If the force of pull was 70 N at
a 30° angle:
a. What was the force of friction
b. What was the coefficient of friction

Answers

Answer:

Acceleration equals zero because of constant velocity

[tex]f - fr = ma \\ 70 \cos(30) - fr = 0 \\ 70 \cos(30) = fr \\ fr \: = 60.62[/tex]

coefficient

Fr = coefficient × r

60.62= ce ×100

0.60 = coefficient

Ramona has a bag that contains candies of the same size and shape. There are 5 green candies, 4 orange candies and 3 yellow candies. She draws a candy at random, replaces it, and then draws a second candy. What is the probability that both candies will be orange?

Answers

Answer:

the answer is 1/3

Step-by-step explanation:

What is the vertex of the function defined as
g(x) = f(x – 5) + 3?

Answers

Answer:

f=gx−3/x−5

Step-by-step explanation:

Step 1: Flip the equation.

fx−5f+3=gx

Step 2: Add -3 to both sides.

fx−5f+3+−3=gx+−3

fx−5f=gx−3

Step 3: Factor out variable f.

f(x−5)=gx−3

Step 4: Divide both sides by x-5.

f(x−5)/x−5=gx−3/x−5

Simplify the exponential expression 48 Superscript one-half.

2 (24 Superscript one-half Baseline)
3 (16 Superscript one-half Baseline)
4 (3 Superscript one-half Baseline)
16 (3 Superscript one-half Baseline)

Answers

Answer:

the answer is C here you go for anyone needing it

Step-by-step explanation:

Answer:

The answer is C. (2)

Step-by-step explanation:

Function g is a transformation of the parent exponential function. Which statements are true about function g?
FAKE ANSWERS WILL BE REPORTED!!

Answers

Using function concepts, it is found that the correct options are:

Function g is positive over the interval [tex](-\infty, \infty)[/tex].The range of function g is [tex](3, \infty)[/tex].Function g has a y-intercept of (0,4).

What is the parent exponential function?

The parent exponential function is defined by:

[tex]y = e^x[/tex]

In this problem:

When [tex]x = 0, e^x = 1[/tex], while [tex]g(x) = 4[/tex] when x = 0, hence it is 4 - 1 = 3 units above function f.From the graph, it is above the x-axis in the interval [tex](-\infty, \infty)[/tex], hence it is positive in this interval.The range is the set that contains all output values, that is, all values of y, hence it is [tex](3, \infty)[/tex].The domain is the set that contains all possible input values, hence it is [tex](-\infty, \infty)[/tex].The y-intercept is (0, g(0)), hence (0,4).Function g is increasing over the entire interval.

To learn more about function concepts, you can take a look at https://brainly.com/question/16948935

PLEASE HELP!! Will mark brainlest!!
Which number is equivalent to 16 1/2
A. 2
B. 4
C. 8
D. 32

Answers

Answer:

I'm not even lying, it's none of them ;-;

btw if you want, can you give me brainliest :((

Answer:

4

Step-by-step explanation:

16^(1/2)

when bringing a number to the power of a fraction the denominator becomes the order of the root and the numerator becomes the power of the number

we are left with an order 2 root, which is a square root

[tex]16^\frac{1}{2}=\sqrt[2]{16}=4[/tex]

PLEASE HELP WILL GIVE 30 POINTS

The data set shows the ages of guests on a recent tour of a museum: 34, 18, 29, 60, 44, 51, 65, 68.
A. What is the five-number summary of the data? Show your work.
B. How could the museum curator use this information to improve sales at the gift shop?

I already did part A I just need help on part B

The five-number summary is
Min: 18 Max: 68 Median: 47.5
Q1: 31.5 Q3:62.5

Answers

he can use the information to put stuff on sale so more people will come and he can make more money

Step-by-step explanation:

Triangle ABC Triangle DFE. What is the measure of Angle E in degrees?

Answers

Answer:

Angle E is 30⁰

Explanation:

If triangle ABC= triangle DFE then they are both the same it's just that in this case the triangles are mirrored meaning that Angle C= Angle E

Making Angle E: 30⁰

PLEASE HELP! DUE TOMORROW 1-8-21 !! Look at these equations. Write each equation in slope-intercept form. Are these equations the same or different? Explain. I don’t know how to do the middle equation so please show work for that.

Answers

Answer:

y = 2x-4

all the equations are the same as the slope-intercept form is the same for all the equations

Step-by-step explanation:

slope-intercept form:

[tex]y = mx + b[/tex]

2x-3 = y+1

i) move y to the left-hand side and change its sign

-y+2x-3 = 1

ii) move 2x-3 to the right-hand side and change its sign

-y = 1-2x+3

iii) add the numbers

-y = (1+3)-2x

-y = 4-2x

iv) change the signs on both sides of the equation

y = -4+2x

v) use the commutative property to reorder the terms

( commutative property: the number on which we operate can be moved or swapped from their position without making any difference to the answers )

y = 2x-4

After 2 week he has used 8 1/2 cups of dog food after 5 week he has used 21 1/4 cups construct a function in the form y =mx+ to represent the amount of dog food used y, after x weeks

Answers

Answer:

y = 4.25x

Step-by-step explanation:

Given that:

After 2 week he has used 8 1/2 cups of dog food after 5 week he has used 21 1/4 cups, we can write this in coordinate form (x, y) where;

y is the amount of dog food

x is the time in weeks

The coordinates are (2, 8 1/2) and (5, 21 1/4)

get the slope m:

m = y2-y1/x2-x1

m = (21 1/4 - 8 1/2)/5-2

m = (85/4-17/2)/3

m = (85-34/4)/3

m = 51/12

m = 4.25

Get the intercept c:

Substitute any of the points say (2, 17/2) and m = 51/12 into the equation

y = mx+c

17/2 = 51/12(2) + c

17/2 = 51/6 + c

c = 17/2 - 51/6

c = 51-51/6

c = 0

Get the required equation:

substitute m - 4.25 and c = 0 into y = mx+c

y = 4.25x + 0

Hence the required equation is y = 4.25x

At a school, 460 of the students walk to school.
the number of students who ride the school bus is 110% of the number of students who walk. How many students ride the school bus?

Answers

Answer:

506

Step-by-step explanation:

To find a percent answer is easy, just do this:

Enter your base number here: 460

Enter your percent here: 110%

460 x (convert 110% to a decimal) 1.1 = 506

Your welcome =)

Answer:

The answer is 506

Step-by-step explanation:

At Shop and Save Grocery Store, apples cost $3.59 a pound. If you buy 2.5 pounds, how much will it cost? Round your answer to the nearest cent.

Answers

Answer:

$8.98

Step-by-step explanation:

3.59+3.59+1.80

The answer would be $8.98. If each pound of apples costs $3.59 cents and you buy 2.5 pounds, your equation would be 2.5(3.59)=8.98.


1. The difference of five times a number and 6 is -2.

Answers

Answer:

13

Step-by-step explanation:

5-x+6=-2

X=13

A cone has a diameter labeled twelve centimeters and a height labeled thirty-two centimeters. Find the area of a vertical cross section through the center of the base of the cone.

Answers

Answer:

[tex]A=0.0192[/tex]

Step-by-step explanation:

Diameter labeled twelve centimetres D =12cm => 0.12

height labeled thirty-two centimetres H= 32cm => 0.32

Generally the vertical cross section of this cone is a triangle

Mathematically solving

Area of vertical cross section through the center of the base of the cone is given by [tex]A=1/2 D*height[/tex]

[tex]A=R*H[/tex]

Therefore

[tex]A=\frac{0.12}{2} *0.32[/tex]

[tex]A=0.06 *0.32[/tex]

[tex]A=0.0192[/tex]

What number is 40% of 160?

Try to explain

Answers

Answer: 64

Step-by-step explanation:

40% of 160

40/100 x 160

6400/100

64

Did I explain this well?

Answer: 64

Step-by-step explanation: So you would start off with the ratio of 40:100 other known as in fraction form 40/100 and you know of means to multiply so you grab the numbers 160 and 40 and mulitiply those digits together and you get 6400. This is where the 100 comes to place and you divide the 6400 by 100 and you get 64.

a teacher buys all 5 books. She pays with a $100 bill. How much change should she get

Answers

Answer:

how much are the books. ????

Answer:

How much does each book cost?

When 80 is decreased by 15%, the new number is

Answers

Answer:68

Step-by-step explanation:

Percentage decrease = 15% × 80

New value =

80 - Percentage decrease =

80 - (15% × 80) =

80 - 15% × 80 =

(1 - 15%) × 80 =

(100% - 15%) × 80 =

85% × 80 =

85 ÷ 100 × 80 =

85 × 80 ÷ 100 =

6,800 ÷ 100 =

68

The numbers –12, –7, –2, 3, . . . follow a pattern. What are the next three numbers in this pattern? A. 8, 13, 18 B. 5, 10, 15 C. 2, 8, 13 D. 8, 14, 17

Answers

Answer:

A.

Step-by-step explanation:

5 is added each time

3 + 5 = 8

8 + 5 = 13

13 + 5 = 18

Answer:

8,13,18

Step-by-step explanation:

Steve’s baseball team played 33 games and won 15 of them. What percent did the team win? *

Answers

Answer:

Approximately 45%.

Step-by-step explanation:

We know that Steve's team played in total 33 games. Out of the 33, they won 15 of them.

So, as a fraction of the total won over the total games, we can write:

[tex]\displaystyle\frac{15}{33}[/tex]

So, by dividing, the percent the team won is:

[tex]\displaystyle\frac{15}{33}=0.\overline{45}=0.454545...\approx0.45=45\%[/tex]

The team won approximately 45% of its games.

What importance do fossils have to scientists?
A. Fossils are used to create cement, which is used to pave our roads.
B. Fossils provide information about the plants and animals that lived long ago and the nature of the environment at the time.
C. Fossils help keep the Earth's crust from shifting, which reduces the likelihood of earthquakes.
D. Fossils can help prove that aliens from other planets once lived on our Earth, but they all died from some catastrophic
event

Answers

Answer:

B is the answer.

Step-by-step explanation:

 

For each year that a gift card goes unused, the value of the card decreases by 5%. What is the value of a $25.00 gift card after 1 year? Show your work.

Answers

Answer:

25*0.95 = 23.75

Step-by-step explanation:

i multiplied by 0.95 because the card is still worth 95% of it's original worth.

you could've done:

25*0.05= 1.75 and then subtract that from 25 to get 23.75, i just find the other way easier.

i hope this helped :)

Plz help and I will give brainliest

A family wants to save $100 each month. They record their progress toward this goal at the end of each month. In January they saved $120 and recorded 1$20 at the end of the month. What should they record for the month of February if they only saved $80 that month? Explain.


If you put anything random as the answer I WILL report

Answers

Answer:

200 dollars

Step-by-step explanation:

Answer:

$200.

Step-by-step explanation:

$200 because if they save $120 then $80, $200.

(120+80=200.)

Hope this helps plz hit the crown :D

sorrry for not answering earlier

HELP WILL MARK BRANNIEST!

Answers

Answer:

up all the way right all the way down allthe way

Step-by-step explanation:

what is this? answer quickly please

Answers

Answer: t= 11.5

Step-by-step explanation: 5 + (-11.5+3) = 3.5

Answer:

T = -3.7

Step-by-step explanation:

We begin with the given equation.

5(t+3)=-3.5

Distribute 5 throughout parentheses.

5t + 15 = -3.5

Move 15 to the other side and switch signs.

5t = -3.5 - 15

Combine like terms.

5t = -18.5

Divide by 5t.

t = -3.7

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