Find the solution of the system of equations 3x+3y=6
9x-5y=-24

Answers

Answer 1

Answer:

Then the answer to the system is the point (-1, 3)

which corresponds to x = -1 and y = 3

Step-by-step explanation:

Start by dividing the first equation by 3 on both sides, and get:

x + y = 2

now multiply it by 5 in order to be able to eliminate the term in y in the combining of both equations:

5 x + 5 y = 10

+

9 x - 5 y = - 24

___________

14 x + 0 = -14

solve for x by dividing both sides by 14:

x = -14/14 = -1

Use the x = -1 answer in the equation 3 x + 3 y = 6 and solve for y:

-3 + 3 y = 6

add 3 on both sides:

3 y = 9

divide both sides by 3 to isolate y:

y = 3

Then the answer to the system is the point on the plane (-1, 3)

which corresponds to x = -1 and y = 3


Related Questions

(GIVING BRAINLIEST!!)

Solve 1/5 ÷ 3

A) 1/7
B) 1/8
C) 1/10
D) 1/15

Answers

Answer:

D

Step-by-step explanation:

because 1/5 x 1/3 = 1/15

Answer:

1/15

Step-by-step explanation:

Keep, Change, Flip

(Keep the first fraction as is, change the division sign to multiplication sign, flip the second fraction)

New equation

(1/5*1/3)

Equals 1/15

Hope I helped!!! :)

Un tren de carga va a una velocidad constante de 60 km/h y pasa por un túnel de 340 m de largo. ¿Cuánto mide el tren, si es que para cruzar completamente el túnel se demora tres cuartos de minuto?

Answers

Answer:

the length would be 410.15m

Step-by-step explanation:

The computation of the length is as follows;

Length = 340m

Let us assume x be train length

Now

the distance traveled by the train is  (L + x)

d = L + x

v = 60 km ÷ h

= 16.67 m / s

And,

t = (3 ÷ 4) (60)

= 45s

Now

d = vt

L + x = (16,67) (45)

x = (16,67) (45) - 340m

x = 410.15m

Hence, the length would be 410.15m

some math on a test hcb kdhbfkvhsd

Answers

Answer:

i think c

Step-by-step explanation:

Answer:

Its either A or C, but I would go with C

Step-by-step explanation:

34 is 50% of what number?

Answers

In other words, you know that 50 percent of a number is 34 and you want to know what that initial number is.

To solve this problem you multiply 34 by 100 and then divide the total by 50 as follows:

(34 x 100) / 50

When we put that into our calculator, we get the following answer:

68

Find the measure of UW

Answers

Line UV = line UW
9X + 1 = 7X + 13
2X + 1 = 13
2X = 12
X = 6

Plug 6 into the original formula...
UW = 7(6) + 13
UW = 42 + 13
UW = 55

Help me out please an thank you

Answers

Answer:

Eg would be 10.6 because its the same length as EF

Answer:

8.6?

Step-by-step explanation:

if it's a right angle an the exact same thing on the other side, than wouldn't you just add 4.3 + 4.3?

what is 4 3/7 as a improper fraction

Answers

Answer:

4 3/7 as an improper fraction is 31/7

Answer:

31/7

Step-by-step explanation:

4 3/7

4 x 7 = 28

28 + 3 = 31

31/7

henry has his own dog washing business. his current business model charges by the weight of the dog

Answers

Incomplete question. I provided an explanation about the term, "business model."

Explanation:

Usually, when mention is made of the term business model it simply refers to the decided way a business plans to make profits.

In other words, it includes information about services or products to be offered by the business in other to keep the business alive, but not just been alive but to continue growing profit-wise.

Hence, we can say, Henry's business model should contain information about the dog charges which would be profitable to his business.

VSpeeding A trucker handed in a ticket at a toll booth showing that in 2 h she had covered 159 mi on a toll road with speed limit 65 mph. The trucker was cited for speeding. Why

Answers

Answer:

The trucker was cited for speeding because his speed was above that of the speed limit of the toll road by 14.5mph

Step-by-step explanation:

Step 1

We calculate the speed of the trucker

Speed = Distance(miles)/Time(hours)

Distance = 159 miles

Time = 2 hours

Speed = 159 miles/2 hours

Speed = 79.5 miles per hour = 79.5 mph

From the question, we are told that: that toll road has a speed limit of 65mph

Step 2

We calculate the difference

= 79.5 mph - 65 mph

= 14.5 mph

Hence, the trucker was cited for speeding because his speed was above that of the speed limit of the toll road by 14.5mph

find the value of y for the given value of x y= x/3 ;x=12​

Answers

Answer:

value of y is 4

Step-by-step explanation:

Which linear equation can be used to represent a line perpendicular to Line W passing through point (-3,-2)?
line on graph is x=8​ Help please

Answers

Answer:

D) y =   -2

The equation of the perpendicular line to the given line is  y = -2

Step-by-step explanation:

Explanation:-

Given point (-3,-2)

In graph the equation of line  x = 8 ( parallel to y- axis )

                              1 x + o y - 8 =0

The equation of the perpendicular line to the given line  

                        b x - a y + k =0

                       o x - 1 y + k =0 ...(i)

The equation (i) is Paases through the point ( -3,-2)

                        0 ( -3) -1(-2) + k =0

                               2 + k =0

                                     k = -2

The equation of the perpendicular line to the given line  is

     put k = -2 in equation (i)    

                        o x - 1 y + k =0

                      - y +(-2) =0

                       - y = 2

                         y = -2

Final answer:-

∴The equation of the perpendicular line to the given line is  y =-2

For two days, your boss decides to double the amount you make if on day 1, you make $70 dollars and on day 2, you make$80 dollars, write an expression for the total commission you earn?

Answers

Answer:

300

Step-by-step explanation:

Day 1: $70

Day 2: $80

Total commission = day 1 × 2 + day 2 × 2

= 70 × 2 + 80×2

= 140 + 160

= 300

Or

Total commission = 2(day 1 + days 2)

= 2(70 + 80)

= 2(150)

x = 300

Consider the diagram below of an equilatera triangle.

Answers

Answer:

4 = n.

13 ft.

Step-by-step explanation:

An equilateral triangle means that all of the sides are equal.

This means: 2n + 5 = 3n + 1 = 5n -7

You can pick two of those sides to set up an equation to solve for n.

For example, 2n + 5 = 3n + 1.

Then you will need to isolate the variable.

Subtract 1 from each side to get 2n + 4 = 3n.

Subtract 2n from each side to get 4 = n.

Substitue 4 for n into one of the equations.

2n + 5

2(4) + 5

8 + 5 = 13

Each side is 13 ft.

Please help me in math.
The measure of the angle shown is....

Answers

Answer:

i think C im not really sure but i hope im correct maybe >.<

Find the slope between
the two ordered pairs:
(1,5) and (-2,-7)

Answers

Answer:

4

Step-by-step explanation:

The perimeter of a rectangular room is 52 feet. The length is 2 more than the width. What is the width of the room?
A. 10 feet
B. 14 feet
C. 13 feet
D. 12 feet

Answers

Answer:

10

Step-by-step explanation:

i think its 10 maybe cuz if u see

the perimeter of a rectangular room is 52 feet. right?

then then height is 2 more than the width. what is the width of the room? so am I right copying the question? yes the question is right copied ok!

now see when u subtract 2 from 12 it gives u 10 and length i as 2 more than the width so maybe 10

A pair of opposite ray RO and ray RQ

Answers

Is true the pair of opposite ray RO and RQ

Write an equation of the line that passes through (3,2) and is perpendicular to the line y= 1/3x-3

Answers

Answer:

y = - 3x + 11

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = [tex]\frac{1}{3}[/tex] x - 3 ← is in slope- intercept form

with slope m = [tex]\frac{1}{3}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{1}{3} }[/tex] = - 3, then

y = - 3x + c ← is the partial equation

To find c substitute (3, 2) into the partial equation

2 = - 9 + c ⇒ c = 2 + 9 = 11

y = - 3x + 11 ← equation of perpendicular line

Y= 8x +3 What is the slope and y-intercept of the equation? Slope = 8; y-intercept = (3, 0) Slope = 3; y-intercept = (0, 8) Slope = -8; y-intercept = (0, 3) Slope = 8; y-intercept = (0, 3)

Answers

Answer:

Slope = 8 Y-intecept = (0, 3)

Step-by-step explanation:

Slope-intercept form: y = mx + b

m = slope

b = y intercept value

y = 8x + 3

m = 8

y = 3

Help please help me

Answers

Step-by-step explanation:

if you're looking for x

x=180-42-51= 87°

and if you're looking for D

D= 180-42= 138°

A student has $78 in his checking account. If the student spends $12 on lunch, which number could be combined with the amount left in the account to make zero? –90 –78 –66 –12

Answers

Given:

A student has $78 in his checking account.

The student spends $12 on lunch.

To find:

The number that could be combined with the amount left in the account to make zero.

Solution:

We have,

Amount in account = $78

Money spend on lunch = $12

Remaining amount = Amount in account - Money spend on lunch

                               = $78 - $12

                               = $66

Remaining amount is $66. So, -66 could be combined with the amount left in the account to make zero.

[tex]66+(-66)=66-66=0[/tex]

Therefore, the correct option is C.

Answer:

c

Step-by-step explanation:

brainiest pls

for brainly and points

Answers

Answer:18

Step-by-step explanation:

C) 18 is the correct answer.

2m/3 +5=17

or,2m/3 =17-5

or,2m/3 =12.

Now doing criss cross multiplication,

or,3×12=2m×1

or,36=2m

m=18

If you found my answer useful then please mark me brainliest.

Is A: m=18 by that way

Nikki used the calculations shown to determine whether a carton of 12 eggs or a carton of 18 eggs was the better buy.

A carton of 12 eggs cost $2.39, and a carton of 18 eggs cost $3.39.
Unit price of the 12-egg carton = ($2.39)(12 eggs) = $28.68 per egg
Unit price of the 18-egg carton = ($3.39)(18 eggs) = $61.02 per egg
The 12-egg carton has the lower unit cost, so it is the better buy.

Answers

She is right, however her explanation is wrong.

In order to find the unit price, you need to divide the amount by the cost.

You will then see that 12 divided by 2.39 < 18 divided by 3.39.

The smaller unit price is obviously the better buy.

Solve 3x + k= c for x.
O'A. x = 3(c- k)
O B. X=C+*
3
<=
O C. x-cok
O D. x = 3(c+ k)

Answers

Answer:

x = (c - k) / 3

Can you insert an image or retype the question, it is hard to read with the information that is incorrectly placed.

A telephone poll of an SRS of 1234 adults found that 62% are generally satisfied with their lives. The announced margin of error for the poll was 3%. Does the margin of error account for the fact that some adults do not have telephones

Answers

Answer:

No. The margin of error only includes sampling variability.

Step-by-step explanation:

The margin of error would be considered for the sampling error

In the case when some adults does not have telephones so it is called as error selection bias this is not a sampling error

The selection bias, unresponse bias and the response would be the examples of an error but it is not a sampling errors

So there is no margin of error as it only involved the variability in the sampling

The sales tax on clothing that cost $24 is $1.68. How much would sales tax be on clothing that cost $96?​

Answers

Answer:

$6.72

Step-by-step explanation:

1.68 is 7% of 24, so there is a 7% tax.

96x.07= 6.72

Answer:  The sales tax would be 6.72

Step-by-step explanation: 24 is 1/4 of 96 so that means that you have to multiply the sales tax number by 4 and 1.68 x 4 = 6.72

3, 6, 11, 18, 27, … What is the 12th term of the sequence?

Answers

Answer:

Answer is 39

Step-by-step explanation:

Answer:

146

Step-by-step explanation:

hope it helps

Which fraction is equivalent to eight twelfths?

Answers

Answer:

2/3

Step-by-step explanation:

Pretty simple to find. Divide both the top and the bottom by 4, and see that it makes 2/3. Easy way to figure out any of these is just to simpliy them. Like 10/12 would equal 5/6

1. How long is segment ML ?

Answers

Answer:

19

Step-by-step explanation:

KM=4

KN=9

9-4=5

MN=5

NL=14

5+14=19

the answer for the segment is 19

There are two clocks in a shop. The first clock chimes every 5 minutes. The second clock chimes every 6 minutes. If both clocks chime together at 3:15 pm, at what time will both clocks chime together again?

Answers

3:45 is the answer I belive
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