Solve system of equation algebraically
y = 2x - 3
x + y = 18

Answers

Answer 1

Answer:

x = 7

y = 11

Step-by-step explanation:

Given the system;

y = 2x - 3

x + y = 18

1. Approach

The easiest way to solve this system of equations is to solve the second equation for the variable (y). Then add the systems, use algebra to solve for the value of (x), then substitute that value back into one of the original equations to solve for the value of (y). Another name for the method in use is the method of elimination, this is when a [erspm manipulates one of the equations in a system of the equation such that when they add the equations, one of the variables eliminatates. Thus, they can solve for the other variable and the backsolve for the value of the unknown variable.

2. Solve one of the equations for a variable

Manipulate the system such that each equation is solved for the same variable,

x + y = 18

Inverse operations,

x + y = 18

-18        -18

x + y - 18 = 0

   -y         -y

x - 18 = -y

3. Use elimination

Now substitute this back into the original system,

y = 2x - 3

-y = x - 18

Add the systems,

y = 2x - 3

-y = x - 18

_________

0 = 3x - 21

Inverse operations,

0 = 3x - 21

+21       +21

21 = 3x

/3    /3

7 = x

4. Find the value of the unknown variable

Backsovle to find the value of (y),

x + y = 18

Substitute,

7 + y = 18

Inverse operations,

7 + y = 18

-7        -7

y = 11

Answer 2

Answer:

X=3 Y=15

Step-by-step explanation: First you need to use the problem 18/2=x to find the value of x. Now to find the value of y, you need to subtract 3 from 18.  Then you solve

15=2(9)-3 15+3=18


Related Questions

find the volume of an icecream cone that has an hight of 4.6 in. and a diameter of 1.2 in.

Answers

Answer:

The volume would be 1.73 inches cubed.

Step-by-step explanation:

Use the formula for finding the volume of a cone, and plug in the given numbers.

V=πr^2*h/3

V=3.14*.6^2*4.6/3

Simplify the equation, and you are left with..

V = 1.73

A cheese spreader can be broken into a rectangle and triangle. The rectangle has a height of 3 centimeters and a base of 5 centimeters. The triangle has a height of 3 centimeters and a base of 3 centimeters.

What shapes can the shape of the spreader be divided into to find its area?
A. a triangle with a height of 3 cm and a base of 8 cm and another triangle with a height of 5 cm and a base of 8 cm
B. a triangle with a height of 3 cm and a base of 3 cm and a rectangle with a height of 3 cm and a base of 8 cm
C. a triangle with a height of 3 cm and a base of 8 cm and another triangle with a height of 3 cm and a base of 8 cm
D. a triangle with a height of 3 cm and a base of 3 cm and a rectangle with a height of 3 cm and a base of 5 cm

Answers

Answer:

D

Step-by-step explanation:

Brandi has equal numbers of hip-hop songs and country songs loaded on her personal music player. She has it set to play songs on a random shuffle. Suppose Brandl is designing a simulation that could be used to estimate the probability that the next three songs to play are all hip-hop songs Which simulation design could Brandi use to estimate the probability?


A. Coin Let heads (H) = hip-hop Let tails (T) = country Toss coin three times. Repeat

B. Random digits Let 0.1phop Let 2.3.4.5.6 = country Select two random digits Repeat

C. Number cube Let 1 = hip-hop Let 2 = country Roll cube three times Repeat

D. Nurbe cube let 1 = hip-hop let 2 = country Roll cube four times. Report​

Answers

The answer to this is C.

you don't have to solve both but, if you don't attempt to solve it i'm going report yo account

Answers

Answer:

6. 13

7. approx 15.81

Step-by-step explanation:

lol ok so im stuck on this pls help

Answers

Answer:

The slope is -5

y intercept is -2

Step-by-step explanation:

Solve the equation for y

5x+y =-2

Subtract 5x from each side

5x+y -5x = -5x-2

y = -5x-2

This is in slope intercept form

y = mx+b  where m is the slope and b is the y intercept

The slope is -5 and the y intercept is -2

Answer:

Slope -5

y intercept 2

Step-by-step explanation:

5x+y=-2 in the form y =Mx+ c is,.

y=-5x+-2

y=-5x-2

Where m is the slope which is -5

And c is the y intercept i.e 2

A ramp was constructed to load a truck. If the ramp is 9 feet long and the horizontal
distance from the bottom of the ramp to the truck is 7 feet, what is the height from the
ground to the top of the ramp? (Round your answer to the nearest tenth of a foot)

Answers

Answer:

a^2 + 64 = 100

a^2 = 36

a = 6

por lo que la altura es de 6 pies

Step-by-step explanation:

Suppose that a sequence is defined as follows. And find the next 4 terms.
a1= -1
an=-4an-1 +2
n>= 2

Answers

Answer: s,djfhbewhbwejkhbkhbwqigqiygwurygqwygRwqyr

Step-by-step explanation:

What number does x represent in the equation below?

3x + 7 = 34

Answers

27 is the final answer

question is in the picture please explain how you got ur answer!

Answers

I believe if I’m not wrong the answer should be B 1/6

Answer:

1/6

Step-by-step explanation:

Because there are 3 even numbers on a number cube, and if you roll it twice then it would be 6. And there is only one "3" on a number cube. So, the answer is 1/6.

( please help!! I will give brainliest tysm! ) The diameter of a carbon atom is 2.2 × 10 -8cm. Write this as a whole number

Answers

Answer:

it is  0.000000022 cm as a number but rounded to 0 as a whole number

Answer:

The answer is -220000000.

Step-by-step explanation:

First multiply 10 X-10 X-10 X-10 X-10 X-10 X-10 X-10 and you will get -100000000 then multiply 2.2.

Select all the quantities that describe a unit rate.


Mark bought 1 pound of grapes.

A recipe calls for 3 cups of flour for 1 cake.

Emma drank 2 cups of coffee per day.

Madison had 4 books and 3 notebooks in her backpack.

Daniel makes $340 each month at his summer job.

Answers

Answer:

2, 3, 5

Step-by-step explanation:

2: 3 cups of flour per cake

3: 2 cups of coffee per day

5: $340 per month

2,3, and 5 hope this helps :)

On a coordinate plane, what is the distance between points D and H? When the H coordinate is (9 , 8) and the D coordinate is (1 , 3) Round to the nearest tenth of a unit.
Which is the correct answer?

- 3.7 units -7.3 units
- 5.2 units -9.4 units

Answers

The answer is 9.4 units
The answer is 9.4 units. Hope this helps:)

Mike walked 5/8 of the way to school before it started raining. How many percent of the trip did he get before it rained?

Answers

Answer:

62.5%

Step-by-step explanation:

Answer:

62.5%

Step-by-step explanation:

Please help my with this question!!! I’ll give brainlist for the correct answer

Answers

Answer:

I think its C

Step-by-step explanation:

Answer:

The answer is c

Step-by-step explanation:

Triangle ABC is shown Translate Triangle ABC 5 units left and 4 units up and reflect it over the x-axis​

Answers

Here is my process for solving this.

First I drew arrows that indicated I was moving the whole triangle 5 units to the left.

*Look at first attachment*

Then I drew another triangle using those new points. (The new triangle is in pink)

*Look at second attachment*

Then I drew arrows that moved this new triangle 4 units up. (The new arrows are in pink)

*Look at third attachment*

Then I drew the new triangle in blue using the new points.

*Look at fourth attachment*

Then I mirrored / reflected the triangle over the x axis (the horizontal line) In green.

*Look at fifth attachment*

The fifth attachment in green is the final product! Hope that helps.

someone help me please

Answers

= 34y = 1156
Divide both sides by 34
Y = 1156/34
Simplify 1156/34 to 34
Y = 34

28. Question 28 has 2 parts A&B
Anita walked 1/8 of a mile in 1/10 of an hour Part

A: At this rate, how far would Anita walk in an hour?

B At this rate, how long would it take Anita to walk 5 miles?​

Answers

Step-by-step explanation:

1)3.8miles

2)15 miles

.................

HELP pls if right get brainlist
also im promoting ppl yt not mine but go sub to this yt called daja grooms

Answers

Answer:

x = 115

Step-by-step explanation:

(straight angle) - (acute angle) = (x or obtuse angle)

180 - 65 = 115

x= 115!!!!!!!!!!!!!!!!

PLS HELP ME!!
describe an example of a situation when the graph would be represented with a constant interval.

Answers

When the graph reaches his point
when the graph reachest highest point

Can u pls help me?? I need so much help on this and im so sorry for posting a lot

Answers

A I believe :) sorry if it’s wrong

Answer:

B

Step-by-step explanation:

Congruent means same shape and same size. So congruent has to do with comparing two figures, and equivalent means two expressions are equal. So to say two line segments are congruent relates to the measures of the two lines are equal.

Since you already had angle N and O, B would be correct because they have the same shape and size.

5. What are 3 true statements you can claim based on
the proportional relationship between the time (hrs)
driving & the distance (mi) driving. (find 3 points
yourself)

Answers

Answer: 1 hour is equal to 46 miles 2 hours is 92 miles and 20 hours is 920 miles

Step-by-step explanation:

92/2 = 46 miles

46 x 2 = 92 miles

46 x 20 = 920

Write the equation of the line in slope-intercept using y=mx+b​

Answers

Y=1x-90


-90 is the y-intercept and you get 1x because it rises 10 and runs 10.
10/10 is 1.
y=1x-90. your welcome

H e e e e l l l ppppp

Answers

Answer: C

Step-by-step explanation:

the answer is c lol

How does finding the unit rate make it easier to solve problems?

Answers

Answer:

Unit rate is regularly a helpful method for contrasting proportions and their related rates when estimated in various units. The unit rate permits us to look at different sizes of amounts by inspecting the quantity of units of one amount for each one unit of the subsequent amount.

Step-by-step explanation:

Safeway is selling a 15 oz. box of Cinnamon Toast Crunch for $3.75. Weis is selling a 20 oz. box of Cinnamon Toast Crunch for $4.00. If you want the best deal (cheapest price per ounce), where should you purchase your cereal? Why?

Answers

Answer:

You should purchase the cereal at Weis

Step-by-step explanation:

the first options gives a rate of 25 cents per oz. the option that Weis offers is a rate of (0.1875round that up to 19) 19 cents per oz.

Find the area of the given parallelogram.

A.128 sq in
B.264 sq in
C.276 sq in
D.272 sq in

Answers

Answer:

272

Step-by-step explanation:

because you multiply 17 x16

Step-by-step explanation:

✰[tex] \underline{ \underline{ \large{ \tt{ \bold{ \purple{G \: I \: V \: E \: N}}}}} }: [/tex]

Base of the parallelogram ( b ) = 16 inHeight of the parallelogram ( h ) = 17 in

✰ [tex] \underline{ \underline{ \large{ \tt{ \bold{ \red{T \: O \: \: F \: I \: N \: D }}}}}}:[/tex]

Area of the given parallelogram ( P )

✰ [tex] \underline{ \underline{ \large{ \bold{ \pink{ \tt{ S \: O \: L \: U \: T\: I \: O\:N}}}}}} : [/tex]

[tex] \boxed{ \large{ \bold{{\sf{Area \: of \: a \: parallelogram \: ( \: A \: ) \: = b \: \times \: h}}}}}[/tex]

Plug the known values and then multiply !

⟷ [tex] \large{ \tt{17 \: in \: \times \: 12 \: in}}[/tex]

⟷ [tex] \large{ \tt{ 272 \: {in}^{2} }}[/tex]

☥ [tex] \red{ \boxed{ \boxed{ \bold{ \tt{Our \: final \: answer : \underline{ \boxed{ \tt{272 \: {in}^{2} }}}}}}}}[/tex]

Hope I helped ! ♡

Have a wonderful day / night ! ツ

# [tex] \underbrace{ \mathfrak{ \: Carry \: On \: Learning}}[/tex] !!

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

The table in the image shows the results of a survey of 100 people randomly selected at an
airport. Find the experimental probability that is going to City E. Write the probability as a
fraction, decimal and percent.

Answers

Answer:

8/100, 0.08, and 8%

Step-by-step explanation:

probability = no. of responses/total no. of people.

= 8/100

In fraction, 8/100

In decimal, 0.08

And in percent, 8%

I WILL MARK BRAINLIEST!!
From Monday through​ Friday, Earl works in the bookstore on 2 days and in the tutoring center on another . On Saturday and​ Sunday, Earl writes news stories ​50% of the days. How many days does Earl work in a​ week? What percent of Monday through Friday does Earl ​work?

Answers

Answer:

4 days a week

Step-by-step explanation:

2+1=3

3+1/2+12=4

he works 4 days a week

What is the slope of the line that passes through the points listed in the table?


A. -3
B. 3
C. 5
D. 7

Answers

I think the answer is c

Answer:

C

Step-by-step explanation:

took the test

Hello!

I need help please...

What is [tex]\sqrt[450]{3,650}[/tex] as a divided.

Make a explanation to this... Do not copy, or go on g.oogle to get the answer to this...

And maybe you can show proof how you got the answer?

Thanks~

Answers

Answer: The Answer is in a fraction form

Step-by-step explanation:

9/73

It is in a fraction form
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