Solve the system of equations
{y= 15x+9
{y= 1/2x–20

What is the solution to the system?

Answers

Answer 1

[tex]y = 15x +9~~~~.....(i)\\\\y = \dfrac 12 x -20~~~ ....(ii)\\\\\\\text{Substitute equation (i) in equation (ii):}\\\\15x +9 = \dfrac 12 x -20\\\\\ \implies 9 +20 = \dfrac x2 - 15 x\\\\\implies 29 = -\dfrac{29 x}2\\\\\ \implies 1 = -\dfrac x 2\\\\\implies x= -2\\\\\text{Substitute}~ x=-2~ \text{in equation (i):}\\\\y = 15(-2) +9 = -30 +9 = -21\\\\\text{Hence}~ (x,y) = (-2,-21)[/tex]


Related Questions

Marco is five years less then twice hi sister Leah's age. Their mother is 14 years older than Marco and Leah's combined ages. If their mother is 48 years old, how old is Marco?

Answers

Answer:

Marco is 21

Step-by-step explanation:

Let the sister's age = x

Marco's age = 2*x - 5

x + 2x - 5 + 14 = 48            Combine the left side of the equation.

3x + 9 = 48                         Subtract 9 from both sides

3x = 48 - 9

3x = 39                               Divide by 3

x = 39/3

x = 13

So the sister is 13

Marco = 2x - 5 = 2*13 - 5

Marco = 21

Metallic blocks x,y, and z were placed in the graduates a, b, c. The initial volume of liquid in the equal sized graduates was 40 ml. Which block was placed in which graduate.

Answers

Answer:

hope it helps B-Y, C-Z, A-X

Another one for you guys

Answers

Answer:

50 miles

Step-by-step explanation:

when you match 5 on the side for practice on the x axis, it matches to 50 miles on the y axis

Find the area of trapezium where area=5cm base=6cm height=8cm

Answers

Answer:

44cm2

Step-by-step explanation:

[8×(5+6)]/2

=(8×11)/2

=88/2

=44cm2

Can i please have help with this question brainliest for corecct answer

Answers

answer is D

graduent should be m¹×m²=-1

and should be the inverse of the other

1. A grand tour of four cities begins at city A and makes successive stops at cities B, C,
and D before returning to city A. If the cities are located as shown in the
accompanying figure, find the total distance covered on the tour. The units are in
miles.
0-900,800)
400,300)
D1-800,0)
ALOO

Answers

Using distance between two points, it is found that the total distance covered on the tour is of 3400 miles.

Given two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], their distance is given by:

[tex]D = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

In this problem, the formula is used to find the distance covered on each tour, hence:

[tex]d_{AB} = \sqrt{(400 - 0)^2 + (300 - 0)^2} = 500[/tex]

[tex]d_{BC} = \sqrt{(-800 - 400)^2 + (800 - 300)^2} = 1300[/tex]

[tex]d_{CD} = \sqrt{(-800 - (-800))^2 + (0 - 800)^2} = 800[/tex]

[tex]d_{DA} = \sqrt{(0 - (-800))^2 + (0 - 0)^2} = 800[/tex]

Then, the total distance is given by the sum of each separate distance, hence:

[tex]d = d_{AB} + d_{BC} + d_{CD} + d_{DA} = 500 + 1300 + 800 + 800 = 3400[/tex]

The total distance covered on the tour is of 3400 miles.

You can learn more about distance between two points at https://brainly.com/question/25929988

Which exponential expression represents the numerical expression 9.9.9? O 39 99 0 9x3 O 3x9 1 2 2 3​

Answers

Step-by-step explanation:

nine to the third power or 9-cubed is the answer b/c multiply the number "9" by itself, three times.

     Therefore, 9*9*9" is equal to: 9³ 

explanation:
9^3

good luck!!

someone answer this asap pls lots of points

Answers

Answer:

0.34

Step-by-step explanation:

64^1/2=34

10^-2=0.01

34*0.01=0.34

what two integers are between the cube root of 12

Answers

Answer: 2 and 3

Step-by-step explanation:

The cube root of 12 is 2.28942848511, so it is between the integers 2 and 3.

HELPP ME PLEASEEE ! I NEED IT RNN

Answers

A square has each side equal which is 8 here.

Perimeter of a square is the sum of each side or

4 X side

4 X 8 = 32 cm

Area of square can be represented by side

Answer : A=32cm²

20 times the difference of a number, z, and 7

Answers

Answer:

20(z-7)

Step-by-step explanation:

2+2×4 that is my question i need help​

Answers

Answer:

10

Step-by-step explanation:

2+(2x4)

2x4=8

2+8=10

Answer:

10

Step-by-step explanation:

so we need to use PEMDAS

2×4=8

8+2=10

Rania receives $40 for her birthday. Then he spends $15 at the movies.

Answers

She’s going to have $35

Answer:

$40-$15= $25 Rania has $25 dollars left

Step-by-step explanation:

Since Rania earned $40 for her birthday and then she spent $15 dollars at the movies, that means that 40-15=25 so she has 25 dollars left.

Solve using elimination 5x+7y=9
2x-3y=-37

Answers

Answer:

x = -8

y = 7

Step-by-step explanation:

5x + 7y = 9

2x - 3y = -37

1.) First, multiply each side to match either y-values or x-values. (In this example, we'll use match x-values)

10x + 14y = 18 (multiplied by 2)

10x - 15y = -185 (multiplied by 5)

2.) Then, subtract the entirety of one equation to isolate the y-value.

10x + 14y = 18

-10x + 15y = 185

3.) Add and subtract values and divide to find y.

29y = 203

y = 7

4.) Plug-in y to solve for x into one equation, or repeat steps 1-3.

15x + 21y = 27

14x - 21y = -259

29x = -232

x = -8

Which expression is equivalent to 9 x 9 x 9 + 12 x 12 x 12?

Answers

Answer:

i think probably 2457 is answer

Last season, your
favorite basketball
team won 20 games. This
season, your favorite
basketball team won 31
games. What is the
percent change in the
number of games that
your favorite team won
from last season to this
season?

Answers

Answer:

55%

Step-by-step explanation:

The percent change formula is written like this:

[tex]|\frac{change - original }{original}|[/tex]. In this scenario, the "change" or new value is 31, because it is this season, and the original is last season. Now, 31-20 = 11, and 11/20 = 55%.

Find the slope of the graphed line.

ASAP​

Answers

y = mx+b

y = 1/3x+4

Sincerely,

William

If I swim 575 yards for three days how many yards I swim

Answers

The answer is 1,725 yards

Step-by-step explanation:

If you swim 575 yards in 3 days, you swim 575 yards.

If you swim 575 yards per day for 3 days, then you swim 3 × 575 yd = 1725 yd

What is the probability of rolling an even number on a number cube and flipping a tails on a coin?

Answers

Answer:

25% or 1 in 4 chance.

Step-by-step explanation:

The chances for rolling an even number are 3/6, because there are 6 numbers total, and 3 are even.

3/6 can be re-written as 1/2.

The chances of landing tails are also 1/2, because there are 2 sides and tails is one of them.

So then, multiply 1/2 by 1/2 to get 1/4.

Using the image below which could be the first step in order to draw a arc for the construction

Answers

Answer:

With its point on A, open the compass on point E

Coby designs a rectangular vegetable garden. What will be the length of the full-size
vegetable garden?

Answers

Answer:

168. would be the length

You are buying candles for an outdoor event. The candles you want come in boxes of 10, and you have enough money to purchase 20 boxes. How many candles can you buy?

Answers

Answer:

200 candles

Step-by-step explanation:

20*10 = 200

Please answer hurrryy

Answers

Answer:

the answer is 270714.285714 or just  270714.2 careful \

Step-by-step explanation:

what 550 divided by 12 and then divide the answer by 4 ​

Answers

Answer:

550 / 12 = 45.84

45.84 / 4 = approximately 11.46

Answer: 11 11/24

Step-by-step explanation: 550/12 275/6/4/1

(275/6)(1/4)

275/24

11 11/24

Tina rolls a dice what is the probability that she rolls a 1 b3 c4 d 3 or 4

Answers

Using the probability concept, it is found that there is a [tex]\mathbf{\frac{1}{6}}[/tex] probability that she rolls a 1.

A probability is the number of desired outcomes divided by the number of total outcomes.

In a dice, there are 6 sides, one of which is a roll is 1, then:

[tex]p = \frac{1}{6}[/tex]

There is a [tex]\mathbf{\frac{1}{6}}[/tex] probability that she rolls a 1.

For more on probabilities, you can check https://brainly.com/question/24437717

I need help bro please I love you

Answers

Answer:

The first one ( y<-8 or y>4 )

Step-by-step explanation:

Answer:

y< -8 or y > 4

Step-by-step explanation:

Interval Notation:

(-∞,-8)∪(4,∞)

if cassey adds the following two equations, what multiple of the first equation will the sum represent?

x+y=5
2x+2y=10
A:2 B:3 C:4 D:5

Answers

Answer: 5

Step-by-step explanation:

4d-6=-14+5d
NEED HELP ASAP

Answers

Answer:

Hewo There!!!

____________________

Isolate the variable by dividing each side by factors that don't contain the variable.

d = 8

____________________

“Darkness cannot drive out darkness: only light can do that. Hate cannot drive out hate: only love can do that.”

― Martin Luther King Jr., A Testament of Hope: The Essential Writings and Speeches

_______________________

Think of life as a mytery because well it sort of is! You don't know what may happen may be good or bad but be a little curious and get ready for whatever comes your way!! ~Ashlynn

Maurice spent $12.00 of the $25.00 on a gift card. Which decimal represents the fraction the $25.00 Maurice spent?

Answers

Answer:

0.60

Step-by-step explanation:

25/2 = 12.5 wich means that it can't be 0.50 or lower so it has to be 0.60

Choose the best response to the question below:

Answers

Answer:

d

Step-by-step explanation:

the answer is d because 2×3 equal 6

[tex]\\ \sf\Rrightarrow a*b=ab^2[/tex]

a=2b=3

[tex]\\ \sf\Rrightarrow 2*3[/tex]

[tex]\\ \sf\Rrightarrow 2(3)^2[/tex]

[tex]\\ \sf\Rrightarrow 2(9)[/tex]

[tex]\\ \sf\Rrightarrow 18[/tex]

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