what is the solution of the system of equations 2x-5y=11 and -2x+3y=-9

Answers

Answer 1
Equation 1:
x = (5y+11)/2
Substitute equation 1 to 2:
-2((5y+11)/2)+ 3y=-9
-2/2 = -1 thus -1(5y+11)

Continue...
-(5y+11)+3y=-9
-5y-11+3y =-9
(-5+3)y= 11-9
-2y = 2
y=-1

Substitute y into equation 1:
x=(5*-1+11)/2
x = 6/2=3

So y=-1 and x =3
Answer 2

Answer:

Step-by-step explanation:

In order for us to be able to get our (x,y) value, we need to show our work step-by-step.

Solving for Y:

  -2x + 3y = -9

+ (2x - 5y = 11)

_____________________

             -2y = 2

             -2     -2

In order for us to be able to find our y value, we need to divide -2 both sides.

y = -1

Solving for X:

2x-5(-1) = 11

2x + 5 = 11

    - 5    -5

_____________________

                 2x = 6

                  2      2

In order for us to find our x value, we need to divide 2 both sides.

x = 3

Our equation set or (x,y) value will be equal to:

(3,-1)


Related Questions

Tim bought a video game console and games for $350. The video game console cost $200. Each game cost $25. How many games did Tim purchase?

Answers

Tim bought 6 games
Because 25x6=150 and he spent 200 on the console and he spent 350 total so your answer is $150

Answer:

Tim purchased 6 video games.

Step-by-step explanation:

Let's set the number of games Time purchased as x.

Due to each game costing $25, the total amount of money used on buying games would be ($25)x.

Hence, as the total amount of money used to buy both the console and the video games would be $350, the equation can be set as:

[tex]\$25x + \$200 = \$350[/tex]

[tex]\$25x = \$(350 - 200)[/tex]

[tex]x = \frac{\$150}{\$25}[/tex]

[tex]x = 6[/tex]

Therefore, Tim purchased 6 video games.

Hope this helped!

A transportation agency has one 37-seater bus and some 12-seater buses. They have enough seats to board no more than 435 passengers on their buses. Which inequality represents the possible number of 18-seater buses they have.

A:37x+12 435
C:37x+12>435
D:37+12x<435

Answers

Answer:

I think its D

Step-by-step explanation:

please help :{

Jannie has a budget of less than $240 to spend on jeans and shirts. She spends $95 on jeans. If the cost of each shirt is $22.50, how many can she buy without going over the budget? *

Answers

Answer: She can buy 6 shirts

Step-by-step explanation: You subtract 95 from 240, which gives you 145 so you do 145/22.5 which will give you 6.4444 but you can't buy .44 of a shirt so you round down and you get 6.

She can get 6 shirts

Pepay had 0.37 inches of yarn, Riza had 0.45 inch of yarn too. Their friend Lala asked to borrow 0.25 inch of yarn that they have. What is the length of the remaining yarn?

Answers

Answer:

0.57 inches was left

Step-by-step explanation:

Here, we start by calculating the total length of the yam they have

Mathematically, that will be 0.37 + 0.45 = 0.82 inch

Now, to get what is remaining, we subtract what was borrowed

Mathematically, that is 0.82-0.25 = 0.57 inches

Alex an make one sandwich in 45 seconds. If he made 34 sandwiches for the swim team, how many minutes would it take him?

Answers

Answer:

20 minutes

Step-by-step explanation:

34 times 45 secs equals 1190 secs,

since there is 60 secs in one minute you would divide,

1190/60 = 19.8333.. mins or 19 mins and 50 secs

Which relation is a function?
A) {(2,3). (5,8).(-4,-1). (9.7), (2.1)}
B) {(2,3). (5,8).(-4-1). (9.7). (5,7)}
C) {(2,3). (5.8).(-4,-1). (9.7).(-2.1)}
D) {(2,3). (5.8).(-4,-1). (5,7), (-2,1)}

Answers

C would be a function because the x does not repeat

Hope this helps

Have a happy holidays

A cylinder has a volume of 360 cubic centimeters. Find the volume of a cone with the same height and diameter as
the cylinder.

Answers

Formula for the cylinder = V=πr2h

Formula for the cone = 1/3πr²H

Description:

So if the  cone and a cylinder have the same radius and the same height then it will be greater. So plug in these formula.

Formula:

Vcone = 3Vcone

Vcylinder = 360cm³

Vcone = 1/3 360cm³ = 120cm³

Answer: 120cm³

Hope this helps.

Which set or sub set does \large \frac{24}{8} belong?

a
Integers only
b
Rational numbers only
c
Integers and Rational numbers only
d
Whole numbers, Integers, and Rational numbers

Answers

Answer:

rational numbers

Step-by-step explanation:

7 less than 1/4 of x is y.
!!!ANSWER ASAP!!!

Answers

Answer: y= 1/4x -7

Step-by-step explanation:

Identify the domain of the function shown in the graph.

Answers

Step-by-step explanation:

The domain of the function is the range of x-values, which is -5 <= x <= 5. (D)

I’ll give brainlest to the first one who answer the one my mouse is on it’s not that one!

Answers

Answer:

The answer is A

Step-by-step explanation:

Where is the circumcenter of this triangle located?
O at a vertex of the triangle
O outside the triangle
Thing
O on a side of the triangle
O inside the triangle

Answers

Answer:

I don't see a picture but the circumcenter is usually inside the triangle.

A laptop was originally sold for 975. The laptop is now on sale for 828.75. What percent is the percent markdown?

Answers

Answer:

15%

Step-by-step explanation:

975-828.75/975

Answer:

There was a 15% mark down.

Step-by-step explanation:

975 x 0.15 (15%) = 146.25

828.75 + 146.25 = 975

Check Work:

975 - 146.25 = 828.75

PLSS HELP!! NEED ASAP!!! MARKING BRAINLIEST!!! PLS EXPLAIN!!! At the produce store you can buy 4 bags of bananas for $22.52. How much would it cost if you were to buy 2 bags?

Answers

Step-by-step explanation:

4 bags of bananas for $22.52

=> 2 bags of bananas for $22.52 * 2/4 = $11.26.

Hence it would cost $11.26.

Algebra 1

please explain if you can :)

Answers

Answer:

hey loser we meet hahh

your good but sorry i can say good but not very good cause its not true hah

Find the explicit formula for 15, 12, 9, 6,

A. a= 3n - 18

B a, = -3n + 18

C a. = 3n + 18

D. a= -3n - 18​

Answers

Answer:

D

Step-by-step explanation:

If you can answer that would be nice, thank you.
What type of angle is shown here?

Answers

Answer:

I would say Acute. The angle is definitely less than a right angle. Reflex angles are angles more than 180 degrees, but less than 360 degrees.

To anyone who sees this: you're beautiful, you're loved, you're strong, you're appreciated, and you're amazing.
I am happy that you're here today:) hope you have a great day today, stay safe as well:))​

Answers

Answer:

Awwww

Step-by-step explanation:

Thank you! I hope you know that as well :). I really needed that today so thank you

The population of a certain bacteria doubles every 24 hours. How many times as great is the population after 5 days as the start

Answers

Answer:

256

Step-by-step explanation:

If 2 bushels of corn weigh 112 lb, how much do 8.5 bushels of corn weigh?

Answers

Answer:

476 lb

Step-by-step explanation:

112/ 2 = 56

8.5 times 56

Michelle, lori, and patti buy lunch together. The total bill was $45. If michelle pays 35% of the total bill and lori pays 48% of the bill, how much of the total bill will patti pay

Answers

Answer:

17% of the bill

Step-by-step explanation:

Well to find the answer to this question we first have to add 35 + 48 to get the total percent of the bill that Michelle and Lori paid.

35 + 48 = 83%

now that we know the percent of the bill that Lori and Michelle are paying we have to subtract that amount by 100% to get the percent of the bill that Patti is paying.

100% - 83% = 17%

So Patti is paying 17% of the bill

If we wanted to go even farther and find out what 17% of the bill was all we would have to do is multiply 45 by 17% or 45 x 0.17

45 x 0.17 = 7.65

So Patti is paying 7 dollars and 65 cents

Evaluate the expression below when x = 5.5 and y = 6. 4(x+6)−3(y+4)

Answers

Answer:

16.4

Step-by-step explanation:

4(5.5 + 6) - 3(6 + 4)

4(11.6) - 3(10)

46.4 - 30

16.4

Answer:

The answer is 16.

Step-by-step explanation:

4(x+6)−3(y+4)

=4x+24-3y-12

=4(5.5)+24-3(6)-12

=22+24-18-12

=46-30

=16

I need help on this....​

Answers

its a

Step-by-step explanation:

Answer:

Option A

Step-by-step explanation:

A linear function's standard form is represented by the equation

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

where m is the slope and b is the y-intercept(where the line crosses the y-axis).

So if a function has a slope of 7/2 which is the value of m and crosses the y-axis at 9 which is the value of b then the equation would be

[tex]y=mx+b\\y=\frac{7}{2}x+9[/tex]

So option A is our answer

99-45f+36b in factored form

Answers

9(4b-5f+11)

hope this helps

Here are six number cards -4,-2,-1,5,6,8
arrange the cards into three pairs with the same total

Answers

Answer:

5 and 6 and -1

6 and 8 and -4

5 and 8 and -2 and -1

Step-by-step explanation:

They all add up to 10.

The trick is to first figure out if you can combine 5 6 or 8 together, then use the negative numbers to subtract as needed to reach you number. If you add 5 and 6, that is 11, but -1 can make 10. When you add 8 and 6, that is 14. But good thing you have the -4 to make 10. You start with the smallest number found from adding together two numbers from the positive pile like 5 and 6.

You can make other combinations as well. 11 could work too.

please click heart to give thanks :) c

The pairs of cards are  (-4, 8), (-1, 5) and (-2, 6) respectively.

What is addition?

Addition is a mathematical operation which used to count the things when are together. The addition of two positive integers are greater than both of them while for negative integers it is less than both of them.

Given that,

The different cards having numbers on them are as below,

-4, -2, -1, 5, 6, 8.

In order to select them into three pairs having the same sum make the pair as follows,

Add each positive number to each of the negative numbers and then select the pair of numbers having the same sum.

Thus, it is obtained as,

-4 + 8 = 4

-1 + 5  = 4

-2 + 6 = 4

Hence, the required pairs of cards are (-4, 8), (-1, 5) and (-2, 6) respectively.

To know more about addition click on,

https://brainly.com/question/29464370

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Does 4(x - 8) + 12 = 2(2x - 9) have one solution, no solution, or infinitely many solutions?

Answers

Answer:

no solution

Step-by-step explanation:

hope this helps =)

The given equation has no solution.

What is equation?

Equation is a statement that show the equality of two expressions connecting by equal sign. for example, 3x - 5 = 20. In this case, 3x - 5 and 20 both are expressions which are connected by equal sign. The two expressions are written on the left side of equal and right side of equal. There are different types of equations such as linear equation, quadatic equation, etc.

The equation is given in the question is 4(x - 8) + 12 = 2(2x -9).

when we find out the solution,

4(x - 8) + 12 = 2(2x -9)

Multiply x with 4 and 2 according to the equation.

4x - 32 + 12 = 4x - 18

4x - 20 = 4x - 18

now, you can see this equation has no solution as the value of x cannot be determined.

To know more about the equations click the link below.

https://brainly.com/question/2972832

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What is the value of the expression below when z=3 and w =2
10z+ 5w

Answers

10(3) + 5(2)

30 + 10

40

40 is your answer!
10 x 3 = 30

5 x 2 = 10

10+30= 40

The answer is 40

A 25 ​-pound bag of dog food costs ​$20.25 A35 ​-pound bag of the same dog food costs ​$27.65 Which bag of dog food is the better​ buy?

Answers

Answer:

The 35 pound bag

Step-by-step explanation:

If you divide the price of the 25 pound bag by the number of pounds it has you get 0.81 dollars per pound

20.25 / 25 = 0.81

However if you divide the price of the 35 pound bag by the number of pounds it has you get 0.79 dollars per pound

27.65 / 35 = 0.79

This means you get more dog food for less in the larger 35 pound bag

PLEASE PLEASE HELP MEEEE!!!!

Answers

Answer:

The answer is D) f(x) = 1/3 x^2 -1

Step-by-step explanation:

the key is at the end, the minus 1

Answer:

The answer is D!

Step-by-step explanation:

Describe and correct the error made in finding BC in the diagram Shown. (Hint: It is an Isosceles triangle)

Answers

Answer:

BC = 5

Step-by-step explanation:

Since it is an isosceles, it is the base angles that are equal

Since the base angles are equal, then the sides facing these angles are equal

Mathematically, what we are supposed to have as equals should be AB and BC since they are the sides facing the base angles

Thus, BC should be 5

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