Solve 3x - y = 3 and 2x - y = 2 by substitution method

Answers

Answer 1

Answer:

x = 1

y = 0

Step-by-step explanation:

3x - y = 3

2x - y = 2 , then y = 2x - 2

substitute for y:

3x - (2x - 2) = 3

combine like terms:

x + 2 = 3

subtract 2 from both sides of the equation:

x = 1

y = 2(1) - 2 = 0

Answer 2

Answer:

x=5, y=8

Step-by-step explanation:

let 3x-y=3 be [1]

and 2x-y = 2 be [2]

Change up [2] to:

2x=2+y

2x-2 = y and name this [3]

Sub [3] into [1]

3x-(2x-2)=3

3x-2x-2=3

x-2=3

x=5

Sub x=5 into [3]

2(5)-2=y

10-2=y

8=y


Related Questions

There is a line that includes the point (4,8) and has a slope of 4 What is its equation in slope- intercept form

Answers

Answer:

y=4x-8

Step-by-step explanation:

1) The slope-intercept form of an equation looks like this:

y=mx+b

The m stands for the slope and the b stands for the y-intercept. We need two points on the line to write out this equation.

2)We have the slope you entered in, so we'll plug that in first:

y=4x+b

3) Now, let's plug in that point you entered in to solve for b:

​ y=4x+b

8=4(4)+b

8=16+b

8-(16)=b

-8=b

   

4) Now that we have both our slope, m, and our y-intercept, b, values, we can plug them in to get our equation:

y=mx+b

y=4x-8

​  

Explain how you use a net to find the surface area of a prism.

Answers

Answer:

Nets of rectangular prisms are made up of rectangles and squares. Finding the areas of each of the rectangles and squares of the net of a rectangular prism and adding up those areas gives the surface area or total surface area of the prism.

Step-by-step explanation:

Answer:

By drawing a net, you can see each face of the prism. You can find the areas of each face and then add them together to find the total surface area.

Step-by-step explanation:

This is edges sample resopnse

Consider the expression: 56x3 - 27x + 45
What is the best description of the 27 in this expression?

a 27 is a term
b 27 is an irrational number
c 27 is a coefficient
d 27 is an exponent

Answers

A. 27 is a term so therefore the answer is A

help pls his it due in 10 min

Answers

A. 5(2x+1)

10x+5

B. 34(x-1)

34x-34

C. 9(x+3)

9x+27

Hope it helps

define key features ​

Answers

Answer:

Wait no I apologize. This is the right one.

Key features include: intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior; and periodicity.

help anyone? 5 stars thank you

Answers

Answer:

False

True

False

True

False

Step-by-step explanation:

Use corresponding parts of similar polygons

Answer:

Ok first one true second one true and and the third one false and forth one true and fith one false so look at the bottom for better help

Step-by-step explanation:

1. True

2. True

3. False

4. True

5. False

If I have 5.6 moles of bobby pins, how many bobby pins do I have?

You can provide your calculative answer and then ==>show your final answer as well.

Answers

Answer:

... False because saturated fatty acids contain only single bond.

I hope this helps ..

Step-by-step explanation:

YOU'LL GET MARKED AS A BRAINLYIEST IF YOU ANSWER THIS IN 1-2 MINUTIES. A party room at a restaurant can hold no more than 100 people. Which inequality represents p, the number of people who can be in the room?
A. 0 < p < 100
B. 0 ≤ p ≤ 100
C. p ≥ 100
D. p > 100

Answers

Answer:

C

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

P must be equal to or less than 100 and having less than 0 people makes no sense

Eight times the sum of a number and 9 equals 7.

Answers

Answer:

8(x+9)=7

comment if you need anything else like solving for x

The graph below represents the relationship between Jackie’s salary, s, and the length of time she works, t.
What is Jackie's salary when she works 8h?

Answers

$80 because if 1 hour of work is equal to $10 earned you then multiply by 8.
ANSWER:$80

help me please? ill mark as brainliested :))

Answers

Answer:

go down 5 on the y axis (the one going up and down)

Step-by-step explanation:

since its negative you go down, and since it doesnt give an x axis it doesnt go left or right.

give the like terms step by step.​

Answers

Answer:

Step-by-step explanation:

Like terms have same variable.

Given term          like term

-19m                         5m

28                           952

42bc                         -2bc

-y                                7y

2r                                45r

What is the volume of a cylinder with a height of 9.2 ft and a base with
a radius of 3.9 ft, to the nearest tenth of a cubic foot?

Answers

Answer:

439.6093432 cubic foot

Step-by-step explanation:

volume of cylinder= πr²h

putting the value in the formula

put the quadratic into vertex form and state the coordinates of the vertex

y = x² + 6x - 41​

Answers

Answer:

The vertex form of the quadratic:    y = (x - 1)² + 2

Coordinates of vertex:    (1, 2)

Step-by-step explanation:

The vertex form of an equation of the parabola is:  f(x) = a(x - h)² + k

where (h, k) is the vertex. So:

x - h = x - 1   ⇒   h = 1

+ k = +2     ⇒  k = 2                                                                                                     -------------------------------------------------------------------------------

You were a big help on another question, so i am here to return the favor! <33

:o)

There are eight pints of lemonade an equal amount of lemonade is poured into 15 cups how much is in each cup

Answers

Answer: 8/15

Step-by-step explanation:

From the question, we are given the information that there are eight pints of lemonade and that an equal amount of lemonade is poured into 15 cups.

The amount of lemonade that's in each cup will be gotten by dividing the total pints of lemonade by the number of cups. This will be:

= 8 pints / 15

= 8/15 pints of lemonade

carrie spends 1 1/4 hours of practicing the piano 3 time a week. How much time does Carrie spend practicing the piano in one week?

3 1/4 hours

3 3/4 hours

4 hours

4 1/4 hours

Answers

Answer:

4 hours

Step-by-step explanation:

Because 1×4=4 1/4=25×4

Jordan wants to buy a used car that is $14,500. he decided to make a 5% down payment on the car and finance the balance. How much will Jordan be financing for this car?

Answers

It appears he’s never fully paid for the car but only 5 percent of it, and five percent of $14500.00 is $725.00, so since it wants to know how much will Jordan be financing for this car it would be $725.00
But to know the remaining amount he needs to pay to fully buy the car it’s $13,775.00000000000000000000

Is 30 a typical test score? If so, explain your reasoning. If not, what is a typical test score?

Answers

Answer:

NO

Step-by-step explanation:

Failing a test is atypical for most kids. You have the occasional, but generally failing is something people don't really do. A typical test score varies from 95-70. It really just depends on the person. I sure hope you don't usually score 30's on tests.

stay cold,

brook

The sun is currently at a 67° angle of elevation. A tree is leaning away from the sun at a 5° angle
and casts an 18-foot shadow. How tall is the tree?

Answers

Answer:

correct me if Im wrong but

I think it would be 35.293

Radius = 7in find the area​

Answers

Pi(r^2)
3.14(49)= 153.86

Help Please!!!!!!! Need Help!!!​

Answers

Answer:

925

Step-by-step explanation:

In order to solve this summation formula, you need to first understand what it means. The summation symbol is tell you to add the terms in a sequence. Below the summation sign, there is a variable and number; the variable n is the index of summation and the number 1 is the lower limit of summation or the first value of the sequence. The number 25 above the summation sign is the upper limit (so there would be 25 terms, with the first being 1). The polynomial to the right of the summation symbol represents the explicit function for each term. For example, using this, the first term would be (3(1) - 2) and the second (3(2) - 2) and so on. This means the value of that equation is:

(3(1) - 2) + (3(2) - 2) + (3(3) - 2)... + (3(25) - 2)

One way to solve this is to write all 25 of the terms and add them, but since that's tedious, you can solve this by first doing the basic summation of 1 to 25 and then inputting that into the equation:

1 + 2 + 3... + 25 = (25 × 26)/2 (when the first number is one and the rate of change is 1, the sum of the terms in a sequence is (n*(n+1))/2)

= 325

Now, that you know what the sum of the sequence of terms 1 to 25 are, you can multiply this by the constant since if you break up the equation you would be multiplying 3 by 1 then 3 by 2 and so on until 25, or 3 × (1 + 2 + 3... + 25):

3 × 325 = 975

At this point, you just need to add (-2) × 25. You do this because since there are 25 terms, if you subtracted 2 each time, you would subtract 2 twenty-five times:

975 + ((-2) × 25)

= 975 - 50

= 925


What is the y-intercept of this graph?

Answers

Answer:

The y intercept is 3

Step-by-step explanation:

Help with number 3 please.

Answers

Answer:

The three integers are 11 , 13 , and 15 .

Step-by-step explanation:

Find the solutions to x2 = 8.
A. X = +2.2
B. x= 12,4
C. X = +4-2
D. = +4.6

Answers

Answer:

x = ± 2√2

Step-by-step explanation:

Assuming "x2" is x^2 or "x squared", the answer can be derived from "square-rooting" both sides.

√ x^2 = √ 8

Then we simplify.

x = ± 2√2

Hope this helps!

Answer:

the answer is A.

Step-by-step explanation:

Don't have time to write the steps now because i am in class but i might later.

PLEASE HELP ILL GIVE BRAINLIEST
PLEAZE SHOW WORK

Answers

Answer:

A

Step-by-step explanation:

divide it

45/.7

Simplify the below Question and solve, based on linear equations in 2 variables

Answers

Answer:

x=-1/2

Step-by-step explanation:

hope it helps you

have a great day:)

a cheeta can run 70 miles per hour. What is this speed in feet​

Answers

Answer: 369,600 feet per hour.

Step-by-step explanation:

The correct answer to this question is that the cheetah can run 369,000 feet per hour. We can work this out in the following way:

One mile equals 1760 yards

In feet that is 3 x 1760 or 5,280

So Feet per hour will be 5280 x 70 or

369,600 feet per hour.

Answer:

6160 feet per minute

brainliest, please

what is the axis of symmetry for y=6x^2+6x

Answers

Answer:

x=3

Step-by-step explanation:


A scatter plot was made to show the value of certain cars based on the age of the car in years. The equation of the scatter plot's trend line is y = -1,700x +
32,000 where y is the value of the car in dollars, and x is the age of the car in years.
Use the trend line equation to predict the value of a car after 7 years.
O A. $18.82
O B. $18,820
O C. $25,000
O D. $20,100

Answers

Am not sure but I think it C

Answer:

I think it's D.

Step-by-step explanation:

So if the x is -1,700 and it stands for the years, then times it by 7. That would make -11,900. After you times it, add the 32,000 dollars and you would get $20,100. (I might have done the math wrong but I think this is the answer,)

On factorising 14pq + 35pqr. we get?

Answers

Answer:

7pq( 2 + 5r)

Step-by-step explanation:

Answer:

7 pq (5r + 2)

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