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

Which statement about the ratios 15/18 and 18/27 is true?

A.The ratios are proportional because they simplify to the same ratio.
B.The ratios are proportional because they both contain the number 8.
C.The ratios are not proportional because they do not have the same denominator.
D.The ratios are not proportional because they do not simplify to the same ratio.

Answers

Answer:

C

Step-by-step explanation:

brainliest pls

Answer:

D

Step-by-step explanation:

the answer is D beacuse if expressed as ratios the would not be simplified or reduced to the same lowest form

Please find the domain and range!

Answers

Answer:

Domain: {-2, -3, 6, 8, 10}

Range: {-5, 1, 7, 9}

Step-by-step explanation:

Given:

{(6, -5), (-2, 9), (-3, 1), (10, 7), (8, 9)}

✔️Domain:

This includes all the set of the x-values that are in the relation. This includes, 6, -2, -3, 10, and 8.

Thus, the domain can be represented as:

{-2, -3, 6, 8, 10}

✔️Range:

This includes all corresponding y-values in the relation. They are, -5, 1, 7, and 9.

Range can be represented as:

{-5, 1, 7, 9}

sum of the series:
13, 16, 19, ..., 301
how many numbers are in this series?

Answers

Answer:

97

Step-by-step explanation:

13,16,19,...,301

a=13

d=16-13=3

l=a+(n-1)d

301=13+(n-1)3

301-13=(n-1)3

(n-1)3=288

n-1=288/3=96

n=96+1=97

Answer:

92

Step-by-step explanation:

express 42 minutes as a percentage of 5hours​

Answers

Answer:

14%

Step-by-step explanation:

42 minutes, 5 hours is 300 minutes, 42/300 = 0.14 which is 14%

Kelsey painted one-fourth of her bedroom in three-sevenths of an hour. At this rate, how long would it take her to paint the entire room?
A 3/28 of an hour
B 28/3 of an hour
C 12/7 of an hour
D 7/12 of an hour

Answers

12 Over seven of an hour

Over what interval is the function in this graph increasing?
A-2 sxs 3
B.-3 sxs2
C.-4 SXS - 2
D. -55x55

Answers

Step-by-step explanation:

The interval is -2 <= x <= 3 (A).

round 91.273 to the nearest tenth pls :D

Answers

Answer:

91.3

Step-by-step explanation:

Answer: 91.3

Step-by-step explanation: 7 is greater than 5, so it is okay to change the 2 to a 3 with no digits remaining afterwards.

a meteor train in Delhi carried 4865 passengers in 16 trips.Each trip had an equal number is passengers how many passengers travelled on each trip

Answers

Answer:

304

Step-by-step explanation:

4865/16 = 304.0625 or about 304

I have to round it since you can't bring part of a student in a trip lol.

Ace Carlos

A math app was downloaded 52 times in 4 days. If it continues to be downloaded at the same rate, what scale factor can be used to find out how many times it was downloaded in 12 days?

Answers

Answer:

= 156 app downloaded in 12 days

use: 13x

plug in the amount of day for x.

Step-by-step explanation:

52/4 = 13

13x

13(12) = 156

Ace Carlos

can someone please help and explain? thank you. will give brainliest

Answers

Answer:

Domain: -4 ≤ x ≤ 4

General Formulas and Concepts:

Algebra

Domain is the set of x-values that can be inputted into function f(x)

Step-by-step explanation:

According to the graph, we see that our x-values span from -4 to 4. Since both are closed dots, they are inclusive in the domain:

[-4, -4] or -4 ≤ x ≤ 4

Every Friday for 6 weeks, Jason withdrew $20 from his savings account. How much did he withdraw in all?

Answers

Answer:

just do 6 x 20 its a simple goog le search bro

Step-by-step explanation:

Answer:

$120

Step-by-step explanation:

Friday happens once every week, so he makes a withdrawal once every week. so if he withdraws $20 each week for six weeks, that is 6(20), which equals 120, so he withdrew $120 total.

Please help. I'll give brainliest :)
On a map 1 inch = 50 miles. If two cities are inches apart, how many miles are they apart?
14.3 miles
50 miles
175 miles
137.5 miles

Answers

Answer:

it would be 100

Step-by-step explanation:

if 1=50 and you have 2 then multiple 50 by 2 and that gives you 100

Answer:

Givint the fact that the two cities are 3 1/2 inches arpart t=which you forgot to put in, I would say that there 175 miles apart

Tell whether 18:5 and 10:6 form a proportion.

Answers

Answer:

No

Step-by-step explanation:

They are not equivalent fractions

Answer:

No, they are not equivalent

Step-by-step explanation:

Calculate the largest possible are of a square whose side length is 1 cm to 1 significant figure.

Answers

Answer:

the answer is

1

Step-by-step explanation:

1*1=1

hope it helped

Would you rather go with the deal : 25% off of the $40 for christmas wrapping paper or the deal for 50% off of the $62 for christmas wrapping

Answers

Answer:

50% off of the $62 for christmas wrapping is the better deal

Step-by-step explanation:

Let us compare the prices after the discount

25% off of the $40 for christmas wrapping paper

=25/100*40

=0.25*40

=$10

The new price is

40-10=$30

50% off of the $62 for christmas wrapping

50/100*62

0.5*62

=$31

The new price is

=62-31

=$31

PLEASE ANSWER ASAP! LOOK AT THE PIC ATTACHED: (please show work!)

Answers

Answer:

Answer is B

Step-by-step explanation:

Remember, perpendicular lines have opposite slopes. In order to do this, you just need to flip the sign (Change it to the opposite. For example, if it is 3, it would be -3), and change the slope to its reciprocal (For example, if it is 3, it would 1/3). Finally, since the equation is y = 1/2x + 10, the slope would change to -2x... so your answer is B

Please Help Me
SIMPLIFY

Answers

Answer:

x+7/x+6

Step-by-step explanation:

X^2+4x+20=12x-5

Solve this equation

Answers

Answer:

4 + (or -) 3i

Step-by-step explanation:

Hi!

Alright, so we're going to move all of the variables and constants to one side. Then, using the quadratic formula, we'll find the answer.

1. Move 12x-5 to the left side of the equation by

  a. Subtracting 12x from both sides

  b. adding 5 to both sides.

1: x^2+4x+20-12x+5

2. Group the common terms

  x^2+4x-12x+20+5 --> x^2-8x+25

3. Look at the problem. We can't factor this.

Explanation for why this isn't factorable (you can skip this)

(1) 25 is positive, so its two factors will both be either positive or negative. We're looking for a negative 8, so let's go with negative.

(2) Factors of 25: 1 & 25, 5 &5

Seeing the problem? Ya, none of the factors of 25 sum to eight. So, instead, we're going to use the quadratic formula.

4.  So, the quadratic formula: [tex]\frac{-b+-\sqrt{b^2-4ac} }{2a}[/tex]

Our equation is x^2-8x+25=0

a is the constant in front of the x^2

b is the constant in front of the x

c is the term without any x values

so, a=1, b=-8, and c= 25

Into equation:

[tex]\frac{8+-\sqrt{64-4(1)(25)} }{2a}[/tex]=[tex]\frac{8+-\sqrt{64-100} }{2}[/tex]=[tex]\frac{8+-\sqrt{-36} }{2}[/tex]

8/2 = 4

sqrt(-36) = 6i

6i/2 = 3i (remember, we still have the two in the denominator)

4 + (or -) 3i

Answer:

[tex]x=4+ 3\mathbf{i}[/tex]

[tex]x=4- 3\mathbf{i}[/tex]

Step-by-step explanation:

Solve:

[tex]x^2+4x+20=12x-5[/tex]

Move everything to the left side:

[tex]x^2+4x+20-12x+5=0[/tex]

Simplify:

[tex]x^2-8x+25=0[/tex]

Apply the solver formula:

[tex]\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

Where a=1, b=-8, c=25. Thus:

[tex]\displaystyle x=\frac{8\pm \sqrt{(-8)^2-4(1)(25)}}{2*1}[/tex]

[tex]\displaystyle x=\frac{8\pm \sqrt{64-100}}{2}[/tex]

[tex]\displaystyle x=\frac{8\pm \sqrt{-36}}{2}[/tex]

The solutions are complex numbers:

[tex]\displaystyle x=\frac{8\pm 6\mathbf{i}}{2}[/tex]

Simplifying:

[tex]x=4\pm 3\mathbf{i}[/tex]

Two solutions are found:

[tex]x=4+ 3\mathbf{i}[/tex]

[tex]x=4- 3\mathbf{i}[/tex]

Pls answer!!
x - y = 5
4x + y = 10

What could x and y equal

Answers

Answer:

I: Slope = 1

x= 5/1 or 5.00000

y= 5/-1 0r 5.00000

2: Slope = -8.000/2.000 or 4.000

x= 5/2 or 2.50000

y= 10/1 or 10.00000

Step-by-step explanation:

The decimal answers are the fraction in decimal form

PLEASE HELP ILL MAKE BEST ANSWER BRAINLIEST


Based on the table, what is the unit rate for one gallon of gasoline?

A.3.30$
B.4.60$
C.5.60$
D.6.50

LOOK AT PICTURE PLEASE HELP

Answers

Answer:

im going to go with A because you want to divide 6.60 by 2

Step-by-step explanation:

Subtract the third price by each of the answers until you get the second price for an answer. If you still don't get it can you comment down below and I'll tell you the answer.

x² -5x -6 factorised

Answers

(X+1)(x-6) I think is what you’re asking for?

The Jayden family eats at a restaurant that is having a 15% discount promotion. Their
meal costs $78.28 before the discount, and they leave a 20% tip. If the tip applies to
the cost of the meal before the discount, what is the total cost of the meal? Round
your intermediate calculations and answer to the nearest cent.

Answers

$82.58 hope this helped(:

A telephone company offers two different types of billing. The first choice is to pay $10.00 per month plus $0.09 per MB of data. The second choice is to pay $16.00 per month plus $0.07 per MB of data.

How many MB of data would you have to use in one month in order for both plans to cost the same amount? Explain how you determined your answer.

Answers

Answer:

0.09x +10 is the first choice

0.07x +16 is the second choice (set the two data plans equal to each other)

0.09x +10 = 0.07x +16  (subtract 0.07x from both sides)

0.02x +10 = 16 (subtract 10 from both sides)

0.02x = 6  (divide both sides b 0.02 to isolate x)

x= 300 MB of data (the answer)

Step-by-step explanation:

I hope this helps :))

What is the value of the expression (81 1/4) to the power of 4

Answers

Answer:

43580627.4414

Step-by-step explanation:

calculator

Answer:

3

Step-by-step explanation:

Jacqueline spent 33.50 to rent a bicycle. The bike rental facility charged $4 per hour and a processing fee of $1.50. For how many hours, x , did jacqueline rent the bicycle

Answers

Answer:

8 hours

Step-by-step explanation:

Given that:

Money spent by Jacqueline to rent a bicycle = $33.50

Per hour charges for the bicycle for renting the bicycle = $4

Processing fee charged for renting the bicycle = $1.50

To find:

The number of hours, [tex]x[/tex] for which Jacqueline rented the bicycle.

Solution:

Charges for 1 hour = $4

Charges for [tex]x[/tex] hours = $[tex]4x[/tex]

Processing fee = $1.50

Total fee charged for renting the bicycle is nothing but the sum of processing fee and the charges for [tex]x[/tex] hours charged by the bike rental facility.

Total money spent = Processing Fee + Charges for [tex]x[/tex] hours

Total money spent = 1.50 + 4[tex]x[/tex] = 33.50

[tex]\Rightarrow 4x = 32\\\Rightarrow x = \bold{8\ hours}[/tex]

So, Jacqueline rented the bicycle for 8 hours.

there are 3,681 students at west school. Three grades attend this school. There are the same number of students in each grade. How many students are in each grade.

Answers

Answer:1,227

Explanation: 3,681 divided by 3 is 1,227

Answer:

1,227

Step-by-step explanation:

3,000 divided by 3 is 1,000

600 divided by 3 is 200

80 divided by 3 is 26 r2

1 + r2 =3

and 3 divided by 3 is 1

1,000 + 200 + 26 + 1 = 1,227

how how how? I help how to do it​

Answers

#2 also is yes
Just match with all the given stuff below

Answer: ich weiß nicht, aber ich will die freien Punkte

Which are the intercepts of the equation y=−17x−8?

Answers

Answer:

The far left one

Step-by-step explanation:

When you graph it it intercepts the point (-56,0) the other es are wrong because the x and y points are mixed up.

HELP PLEASE!! ITS SOLVING SYSTEMS BY ELIMINATION PIC BELLOW

Answers

First of all, try to understand the questions then try to make a pair of linear equations. After that make the coefficients of x or y equal in both RFD equations by multiplying them by suitable values then add or subtract them ,in such a way which will terminate any one of the variables. Then find the value of left variable. After that just put the value you have found just now In any of the equations and you'll really get the value of the second variable too.

Tim walks at a pace of 80 meters per minute. His school is 4 km away. If school begins at 8:00, what time does Tim need to leave his house to arrive on time?

Answers

Answer:

7:10

Step-by-step explanation:

did the math

Answer:

7:10-7:15

Step-by-step explanation:

tim walks 80 meters per minute and 4kg is 4000.00 meter so now we know that we divided 4000.00 and 80 we get 50 now we take the time his school start subtract 50 minutes so 8:00 ( the time he supposed to be at school) subract 50 minutes that 7:10. Hoped that helped :)

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