what is the solution of the system equation?
y=3x+7
y=x-9

Answers

Answer 1

Answer:

y=-17, x=-8

Step-by-step explanation:

x-9=3x+7

Isolate x for x-9=3x+7;

x-9=3x+7

Add 9 to both sides:

x-9+9=3x+7+9

Simplify;

x=3x+16

Subtract 3x from both sides;

x-3x=3x+16-3x

Simplify;

-2x=16

Divide both sides by -2;

-2x/-2=16/-2

simplify: -2x/-2

=x

Simplify 16/-2:

x=-8

For y=x-9 substitute x=-8;

y=-8-9

Simplify;

y=-17

The solutions to the System of equations are;

y=-17, x=-8


Related Questions

What is x and y if -4x+y=11

Answers

Answer:

See the expression below

Step-by-step explanation:

Given data

We have the expression  

-4x+y=11-----------1

from 1 make y subject of formula we have

y=100+4x

Make x subject of the formula we have

-4x=11-y

divide both sides by -4

x=(11-y)/-4

Honestly just helps ASAP

Answers

Answer and Step-by-step explanation:

RO = OW = 5.1

BRW + ORW = BRO = OWB

57 + 42 = 99 = OWB

I'm not entirely sure if these are correct, if its not, then im sorry.

#teamtrees #PAW (Plant And Water)

Tyras father is two more than three times as old as she
If Tyra is 9 years old how old is her father
29
27
17
18
32

Answers

29 because 9*3 is 27 +2 equals 29

Answer:

29

Step-by-step explanation:

9×3+2=29

Tyra's father is 29

HELP ME PLEASE HELP!!!

Answers

Answer:

P(green) = 1/5

Step-by-step explanation:

P(yellow or blue on board 1) = 2/4 or 1/2

P(yellow or blue on board 2) = 2/5

2/5*2/4 = 4/20

Simplify.

1/5

If I have 7/10 and 645/1000 how many would I need to get to 10/10 and 1000/1000

Answers

Answer:

3/10 and 355/1000

Step-by-step explanation:

Travis, the manager at a small music store, tracked one week of CD sales of different types of music. The bar graph shown here provides the number of CDs sold of each type of music. Travis predicts that the next CD sold will be pop music. Which statement justifies Travis's prediction? A) Every person bought a pop CD. B) More than half of all CD sales were pop CDs. C) People bought rock CDs just as much as pop CDs. D) People bought pop CDs more than any other type of CD.

Answers

aa aa a a aaaaaa a a aa a saa a

PLZ SOMEONE HELP ME

Answers

Where is the question I wanna help u PLZ

Which item in nature does NOT follow the Fibonacci Sequence *
Pinecone
Artichoke
Nautilus Shell
Pineapple

Answers

Answer:

all follow the sequence

Step-by-step explanation:

Pinecone and Pineapple - Scales and bracts are modified leaves, and the spiral arrangements in pine cones and pineapples reflect the spiral growth habit of stems. To confirm this, bring in a leafless stem from some tree or shrub and look at its buds, where leaves were attached.

Artichoke - The spiral of an artichokes leaves can be described by the Fibonacci Sequence. This sequence is a simple mathematical pattern where each successive number in the sequence is equal to the sum of the two preceding numbers, beginning with 0 and 1.

Nautilus shell - Each number is the sum of the two previous numbers. An approximation of a logarithmic spiral, created by drawing circular arcs connecting the opposite corners of squares in the Fibonacci tiling; this one uses squares of sizes 1, 1, 2, 3, 5, 8, 13, 21, and 34.

She square was 10 ft by 10 ft. Suppose uses the same amount of fencing to enclose a circular area. What is the area of the​ circle? Use 3.14 for .

Answers

Answer:

127.41ft^2

Step-by-step explanation:

Given data

DImension of the square

10ft by 10ft

The perimeter of the square is

=10+10+10+10

=40ft

Hence the amount of the fencing of the circle is 40ft

That is the circumference is 40ft

C=2πr

solve for r

40=2*3.14*r

40=6.28r

r= 40/6.28

r=6.37 ft

Area= πr^2

Area= 3.14*6.37^2

Area= 3.14*40.5769

Area= 127.41ft^2

Express 18 and 24 as product of their prime factors ​

Answers

Answer:

6

cuz 6*3=18 and 6*4=24

Answer:

18: 2x9 3x6

24: 12x2 6x4  8x3

So 2

Step-by-step explanation:

Is that what you mean?

0.6(2n-9) = 3.4-2 (3n-1)
solve the following equation only​

Answers

Answer:

n=1.5

Step-by-step explanation:

distribute: 1.2n-5.4= 3.4-2(3n-1)

Add numbers]: 1.2 n - 5.4= 5.4-6n

Move terms: 1.2n+6n- 5.4=5.4

Add like terms: 7.2n= 5.4+5.4

Divide both sides of equation by 7.2

Answer n= 1.5

What is the definition of right angles and straight angles?

Answers

Answer:

Right Angle- an angle of 90°, as in a corner of a square or at the intersection of two perpendicular straight lines.

Straight Angle-A straight angle is 180 degrees. This is a straight angle.

Step-by-step explanation:

180 is a straight angle and 90 is a Right angle

Pls pls help
Show work :)

Answers

9514 1404 393

Answer:

  31.243 units

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relationships between sides and angles in a right triangle. Using the attached figure, it is convenient to find the length of BE as an intermediate step in the solution.

  Sin = Opposite/Hypotenuse

  sin(30°) = BE/100

  BE = 100·sin(30°)

Then ...

  Tan = Opposite/Adjacent

  tan(58°) = BE/x

  x = BE/tan(58°) = 100·sin(30°)/tan(58°)

  x ≈ 31.243 . . . . units

_____

Comment on the figure

The intermediate problem in creating the figure was to locate point D. That was accomplished by locating point C on a line at an angle of 58° CCW from the horizontal, using point B as a center. Then D is the intersection of BC with the x-axis. BE is drawn perpendicular to the x-axis.

If the shaded part of this chocolate represents $21.00 and the unshaded part represents $5.00 each, what is the value of the whole chocolate​

Answers

Answer:

$26.00

ad the picture Step-by-step explanation: it would be better if i had the pictrue but t ook the unshaded plus the shaded and got $26.00

Answer:

The correct answer is $26.00

Step-by-step explanation:

 $21.00

+$  5.00

________

 $26.00

If a fair die is rolled 6 times, what is the probability, to the nearest thousandth, of getting exactly 1 six?
ANSWER IS 0.402

Answers

Who wants to talk im bored

Two friends leave school at the same time, Sarah is heading due north and Beth is heading due east. One hour later they are
5 miles apart. If Sarah had traveled 4 miles from the school, how many miles had Beth traveled?
OA. 2 miles
ОВ.
1 mile
OC. 3 miles

Answers

Answer:

Step-by-step explanation:

If you picture this scene in your head, you will get a simple 3x4x5 right triangle. 4 times 2 is 8, 5 times 2 is 10, so Sarah should, by now, have traveled 3 times 2 miles.

Final answer: Sarah has traveled 6 miles after an hour.

Hope this helped! :)

Helping tip: The reason it is not 4 is because they are not traveling west and east away from each other. They are traveling north and east, so they are moving in two directions to form a right triangle, and the hypotenuse would be 10 (miles). The side, or distance, that Beth has traveled is 8. So as this is a typical variation of a 3x4x5 triangle, Sarah will have traveled  6 miles.

HELP ME I'M STUCK!!!! PLEASE AND THANK YOU!!!!

Answers

Answer: 1/8

Step-by-step explanation: The sample space are all of the different outcomes an event can lead to. The H and T combinations at the bottom are all of the different outcomes. I think the probability of getting 3 tails for the coins (or TTT) is 1/8. This is because there are 24 total outcomes (HHH, HHT, HTH, HTT, THH, THT, TTH, TTT). There is 3/24 TTTs (also, 1/8 if you count the groups/simplify). Therefore, it is 1/8. Hope this helps!

If 8 bottles of cold drink is Rs.480. Then find a) What will be the cost of 5 bottles of cold drink? B) How many bottles of cold drink can be purchased for Rs.640.

Answers

Answer:

(A) 300

(B) 11

Step-by-step explanation:

8 bottles of drink cost 480

Therefore one bottle will cost

= 480/8

= 60

(A) 5 bottles of cold drink will cost

= 60×5

= Rs300

(B) The bottles of drink that can be purchaseed at Rs640

= 640/60

= 11 bottles

You are giving a Rubik's cube as a gift. The side of the Rubik's cube 3 inches. You want to wrap the gift with no paper left over. How much wrapping paper do you need

Answers

Answer:

18in of rapping paper

Step-by-step explanation:

a rubics cube has 6 sides so 6x3=18

18 inch of wrapping paper

pls help :))))))))) uhhhhhhhhh​

Answers

The answers are 3 and -13

You need to plug 3 and -5 into x

By doing this, you get :

12 - 3^2       and

12 - (-5)^2

those expressions equal

12 - 9

12 - 25

So you get

3

-13


Can someone plz help me on this plz I beg u

Answers

Answer:

B because 20 cm multiplayer by 9cm equals 180cm

Answer is B: 180
If you’re solving for area you do length x width and if the base is the only area you solve for you multiply the length (20) by the width or height (9) to get 180cm

Zoey inflated 24 balloons for the high school dance. If Zoey inflated 15% of the total number of balloons at the dance, how many balloons are there total?

Answers

Answer:

Total number of balloons= 160

Step-by-step explanation:

Giving the following information:

Number of balloons inflated by Zoey= 24

Proportion of balloons inflated= 15%

To calculate the total number of balloons, we need to use the following formula:

Total number of balloons = Number of balloons inflated by Zoey / Proportion of ballons inflated

Total number of balloons= 24 / 0.15

Total number of balloons= 160

Graph: y = (x+3)²- 4​

Answers

x-int=-5, y-int=5 and vertex is at (-3,-3)

A right triangle has side lengths a, b, and c as shown below.
Use these lengths to find tanx, cosx, and sin x.

Answers

Step-by-step explanation:

step 1. tan x = opposite/adjacent = c/b

step 2. cos x = adjacent/hypotenuse = b/a

step 3. sin x = opposite/hypotenuse = c/a

Paycheck Pay Period Annual Salary
$1,300 monthly $
$1,000 biweekly $
$550 weekly $
$800 semimonthly $

Answers

Answer:

id like to get paid weekly

Step-by-step explanation:

Answer:

i dont get it

Step-by-step explanation:

t,when t= 10 pls help me on this math problem like fast pls

Answers

I dont see a problem here!!!!!!!!!

Please help me with 1,2 give me the answers and show me how you get it do not send me link please just write it right here please I really need help

Answers

Pythagorean theorem is formula we would use:
1.)
c^2=a^2+b^2
c^2=10^2+24^2
c^2=100+576
c^2=676
c= √676
c=26 in

2.)
c^2=7^2+14^2
c^2=49+196
c^2=245
c= √245
c~15.65 cm


Which of the following properties is always true for a parallelogram? *
Diagonals bisect each other.
Diagonals are perpendicular.
Diagonals are congruent.
Diagonals biscect opposite angles.

Answers

Answer:

Diagonals bisect each other

The answer is the first one.

Help me pls. this is due tonight

Answers

Answer:

8

Step-by-step explanation:

8 cm

The formula to find the surface area of a rectangular prism is SA = 2ab + 2bc + 2ac, where a, b, and c all equal one side of the prism.

To solve this, plug in the value for surface area and the values of the known sides. let’s say a = 3cm and b =5cm and c = y cm. It doesn’t matter with value gets assigned to which letter.

SA = 2ab + 2bc + 2ac
158 = 2(3)(5) + 2(5)(y) + 2(3)(y)
158 = 30 + 10y + 6y
158 = 30 + 16y
128 = 16y
y = 8 cm

select all the statements that are true about the equation y=-2/3x+5

Answers

Answer:

The slope of the line is negative. The y-intercept is 5. The slope of the line is -2/3.

Step-by-step explanation:

With 2 given points on the line that are whole numbers, you can find the slope of the line with the equation [tex]m=\frac{y2-x2}{y1-x1}[/tex]. The answer will tell you whether it's negative or positive. For example, [tex]m=\frac{-2-1}{4-0} =\frac{-3}{4}[/tex]. The slope is negative for the example. The y-intercept would be the point with 0 as the x-value: (0, -5).

Other Questions
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