2p+3q=-7
3p+5q=-12
What is the solution in an ordered pair?

Answers

Answer 1

Answer:

(p, q ) = (1, - 3 )

Step-by-step explanation:

2p + 3q = - 7 → (1)

3p + 5q = - 12 → (2)

Multiplying (1) by 3 and (2) by - 2 and adding the result will eliminate p

6p + 9q = - 21 → (3)

- 6p - 10q = 24 → (4)

Add (3) and (4) term by term to eliminate p

0 - q = 3

-q = 3 ( multiply both sides by - 1 )

q = - 3

Substitute q = - 3 into either of the 2 equations and solve for p

Substituting into (1)

2p + 3(- 3) = - 7

2p - 9 = - 7 ( add 9 to both sides )

2p = 2 ( divide both sides by 2 )

p = 1


Related Questions

Find the value of x

Answers

Answer:

11

Step-by-step explanation:

2x - 6 = 16 (Based on similarity)

2x = 16 + 6

2x = 22

x = 22/2

x = 11

You take a road trip up north with your family. You begin a hike in Death Valley, California at an elevation of 86 meters. You hike up another 35 meters, then down another 148 meters to the other side of the hill. What elevation are you at when you reach the other side of the hill?

Answers

Answer: - 27 meters

Step-by-step explanation:

1.     86 m   Start at 86 meters

2.  +35 m    Go up another 35 meters

3. -148 m   Go down 148 meters.

4.  - 27 meters  Net change in elevation

The net result is a negative 27 meters in elevation from the start of the hike.

Which coordinate pair is outside the circle and inside the rectangle as shown below? 10 9 8 o in N 6 5 2 0 1 2 3 4 5 6 7 8 9 10 O (5,3) O (6,3) O (6,6) O (5,5)​

Answers

It’s the 1st one 5,5

(2x+5) (3x-15)

solve for x

•x=27
•x=20
•x=38

Answers

Answer:4799,2475,4941,

Step-by-step

I'm not sure,

but I solved replace the given numbes

For first, (2×27+5)(3×27-15)=4799, for second (2×20+5)(3×20-15)=2475

For third(2×38+5)(3×38-15)=4941

832.078107648 to the nearest whole number.

Answers

832 is rounded to the nearest whole number

what should be the factors of denominator so that a rational number
a) 2or5
b) only 2
c) only 5
d) 2 and 5​

Answers

Answer:

Step-by-step explanation:

D

Step-by-step explanation:

according to me option A 2 or 5

Find an equation in standard form of the parabola passing through the points.

(2, −8), (3, −8), (6, 4)

Answers

192
Next time try to add more points bc i worked so hard to answer this

List numbers that are between -21 and -12

Answers

Answer:

-13 -14 -15 -16 -17 -18 -19 -20

Answer:

-20, -19, -18, -17, -16, -15, -14, -13,

Step-by-step explanation:

Solve for Y please help me

Answers

Answer:

y = j - rx/c

Step-by-step explanation:

15 POINTS, to lazy please help.

Answers

Answer:

(2, - 1 )

Step-by-step explanation:

The solution to the system is at the point of intersection of the 2 lines.

They intersect at (2, - 1 ) ← solution

Answer:

1427832.087y4441x6.7

In one day you earn $75
for 8 hours of work. If
you work 37.5 hours for
the week, what will your
weekly pay be?

Answers

Answer:

2812.5

Step-by-step explanation:

I need help with this please! It’s due tonight and I don’t know.

Answers

Answer:

b

Step-by-step explanation:

Evaluate 7P4 and 10C6 .

Answers

7P4 evaluated = 840
10C6 evaluated = 210

7x + 2y = -7
11x + 5y = 2

Answers

Answer:

x=−3 and y=7

Step-by-step explanation Solve: 7x+2y=−7for x:

7x+2y=−7

7x+2y+−2y=−7+−2y(Add -2y to both sides)

7x=−2y−7

7x

7

=

−2y−7

7

(Divide both sides by 7)

x=

−2

7

y−1

------------

−2

7

y−1forxin11x+5y=2:

11x+5y=2

11(

−2

7

y−1)+5y=2

13

7

y−11=2(Simplify both sides of the equation)

13

7

y−11+11=2+11(Add 11 to both sides)

13

7

y=13

13

7

y

13

7

=

13

13

7

(Divide both sides by 13/7)

y=7

------------------------

Substitute7foryinx=

−2

7

y−1:

x=

−2

7

y−1

x=

−2

7

(7)−1

x=−3(Simplify both sides of the equation)

[tex]8x + 15 \leq 60\\ solve for x then graph the inequality[/tex]

Answers

Answer:

  x ≤ 5 5/8

Step-by-step explanation:

  8x +15 ≤ 60 . . . . . . given

  8x ≤ 45 . . . . . . . . . subtract 15

  x ≤ 5 5/8 . . . . . . . . divide by 8

The graph is a solid dot at x = 5 5/8, with shading extending to the left.

i need help it is due today

Answers

Answer:

8

Step-by-step explanation:

Using the Heron's formula we can find that the total area of the triangle is 84 inches.

Then, to find the height of the triangle, you have to multiply the area by 2 since the formula for the area of a triangle is (h*b)/2

Now, when we multiply 84 and 2 we get 168, so you have to divide 168 by 21 to find 8.

If
x
=
4
and
y
=
7
, evaluate the following expression:
20

(
3
y

4
x
)

Answers

Answer:

15

Step-by-step explanation:

given solution

x=4 20-(3y-4x) substitute

y=7 20-(3(7)-4(4))

20-(21-16)

20-5

answer =15

Q(x)=-1/2x-3; q(x)=-4
Help

Answers

Answer:4

Step-by-step explanation:

Please help...........

Answers

Answer:

4

Step-by-step explanation:

your answer is 4 because

2*4 = 8

5*4 = 20

7*4 = 28

8*4 = 33

The sides of a rectangle are in the ratio of 5:6. If its longer side is 7.2 in., find the shorter side, the perimeter, and the area of this rectangle.

Answers

Answer:

The shorter side is 6.

The perimeter is 26.4 inches.

The area is 43.2 inches[tex]^{2}[/tex]

Step-by-step explanation:

The ratio 5;6 and the given longer side is 7.2 in.

Since it is the longer side, the '6' in the ratio is 7.2 in.

Let x be the shorter side

5:6 = x : 7,2

Divide 7.2 to 6.

7.2 ÷ 6 = 1.2

Then multiply 1.2 to 5.

1.2 * 5 = 6

So the shorter side is 6.

L = 7.2

W = 6

Now to find the perimeter, let's use the formula

P = 2L + 2W

Let's put the values in the formula

P = 2(7.2) + 2(6)

P = 14. 4 + 12

P = 26.4

The perimeter is 26.4 inches

To find the area, let's use the formula

A = LW

A = (7.2)(6)

A = 43. 2 inches[tex]^{2}[/tex]

Answer:

shorter side= 6

p= 26.4  

a= 43.2

Step-by-step explanation:

The cost of 4 books is $18.00 and the cost of 4 pens is $20.00. Find the cost of six similar
books and six similar pens.

Answers

4 books is 18.00
18/4 is 4.5
$4.50 per book

4 pens is 20.00
20/4 is 5
$5.00 per pen

6 books $4.50 each
6(4.50) = $27

6 pens $5.00 each
6(5) = $30

6 books is $27
6 pens is $30
6 books = $27 and 6 pens = $30
4 books = $18 so divide 18 by 2 get 9 so 2 books are $9 just add $18 to $9 to get $27
4 pens = $20 so divide 20 by 2 get 10 so 2 pens = $10 just add $20 to $10 to get $30

Please help and please no links or just answering for points ¯\_(ツ)_/¯

Answers

Answer:

8c + 6 = 3     

Step-by-step explanation:

six more than the product of a number and 8 is 3  

the product of 8 and c is 8•c, which can also be written as 8c. 6 more than that means you are adding 6, and getting 3... so your equation is,   

8c + 6 = 3     

hope this helped!

mark me brainliest :D

Jodie wants to raise money for a school trip by selling raffle tickets at a basketball game. She sells each ticket for 50 cents, and she sells two and a half rolls of tickets. If each roll of ticket has 200 tickets, how much money did Jodie make?

Answers

Answer:

250 dollars

Step-by-step explanation:

t = tickets

t = 200

Two and a half rolls tickets = (200 x 2) + 200/2) = 400 + 100 = 500

500 tickets x 50 cents = 25000 cents

convert cents to dollars (move decimole point over left 2 units)

25000 = 250 dollars

OMG
_________

2² × 3² = ....​

Answers

Answer:

24

Step-by-step explanation:

First Step:

2² × 3² =

Second Step:

4 × 3² =

Third Step:

4 × 6 = 24

2 × 2 = 4

3 × 3 = 9

4 × 9 = 36

hence , your ans is 36

uhmmm helppppppp pls lol​

Answers

Answer:

h=81

Step-by-step explanation:

Dont know how to explain but this is the answer

a kayak rental shop rents 28 kayaks per week when it charges $25 per day. For each $5 increase in price, the shop loses four kayak rentals per week. How much should the kayak rental shop charge to maximize weekly revenue? What is the maximum weekly revenue?

Answers

found this online hope it helps :)))

If a kayak rental shop rents 28 kayaks per week when it charges $25 per day. For each $5 increase in price, the shop loses four kayak rentals per week. 720 is the  maximum weekly revenue

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

It is given that a kayak rental shop rents 28 kayaks per week when it charges $25 per day

For each $5 increase in price, the shop loses four kayak rentals per week. we need to find  How much should the kayak rental shop charge to maximize weekly revenue

R(x)=(25+5x)(28-4x)

=5(5+x)4(7-x)

=20(5+x)(7-x)

=-20(5+x)(x-7)

when x=1 it is maximum

Price when x =1 is 25+5(1)=30

To calculate maximize revenue

R(1)=(25+5)(28-4)

=30(24)

=720

Hence the maximum weekly revenue is $720.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ5

Helppppppppp pleaseeee

Answers

Step-by-step explanation:

the first one is:

2 so not th second one

Answer:

Step-by-step explanation: We can solve this in two ways:  Solve the equations directly, or graph the lines and find the point they intersect (which will be the only point at which they are equal.

Solve The Equations:

y = 2x+9

y = -x-3

Set them equal to each other (to find x such that both equations will return the same value for y).

-x-3 = 2x + 9

-3x = 12

x = -4

Use x=-4 in either equation to find y:

y = -x-3

y = -(-4)-3

y = 1

===

The point is (-4,1).  That is the point that satisfies both equations:

1)  y = 2x+9

    y = 2(-4)+9

   y = 1, and

2)  y = -x-3

    y = -(-4)-3

    y = 1

=====

We can also solve by graphing and finding the point at which the two lines intersect.  A graph is attached.

he saves £85 each month for the trip.
he will save for 4 month s.
how much will he save in total?
show your working?

Answers

85x4=340
(5x4=20)+(80x4=320)
85 every month
4 months that he will be saving up for.
So that will be four 85’s

85 + 85 + 85 + 85 (85*4)

= 340

He will save £340 in total.

15 POINTS AND BRAINLIEST, im to lazy and this was do two weeks ago please help.

Answers

Answer:

$1.79

Step-by-step explanation:

h + 5f = 8.74 → (1)

2h + 3f = 7.75 → (2)

Multiplying (1) by 3 and (2) by - 5 and adding will eliminate f

3h + 15f = 26.22 → (3)

- 10h - 15f = - 38.75 → (4)

Add (3) and (4) term by term to eliminate f

- 7h = - 12.53 ( divide both sides by - 7 )

h = 1.79

The hamburger cost $1.79

Determine the range of the following graph: ​

Answers

Answer:

5,_5,5,

_8,_3,5,

Step-by-step explanation:

from 5 u get _8,from _5 you get _3 and so on

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