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

PLEASE hELP
Find the domain of the function shown in the graph below?

Answers

Answer:

All real numbers with vertical asymptotes at -2 and 6

Step-by-step explanation:

The domain of the function is all the possible x values of the function, so the solution is all real numbers with vertical asymptotes at -2 and 6 because the values never cross here.

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

a number y divided by 4 is greater than 22

Answers

Answer:

y ÷ 4 ≥ 22

Step-by-step explanation:

I can't find the greater than symbol, but just write the "≥" without the line underneath

Answer:

44

Step-by-step explanation:

Let the number be X

B/P,

X/4=22  Or, X=22*4

X=88

X/2=88/2=44

So the quotient of the number when divided by 2 is 44.

Hope it help and if it its correct please give brainliest

Stay Safe and healthy

Thank You

If I have 4 magazines, and each magazines has 13 bullets, And there are 30 people in class and you need 4 bullets for each person. How many people get 4 bullets.

Answers

Answer:

13

Step-by-step explanation:

4 magazines, and each magazines has 13 bullets:

4*13 = 52 bullets

4 bullets for each person:

52/4 = 13 people

28 is less than 35 by what %?
35 is greater than 28 by what %?

Answers

Answer:

28 is less than 35 by 20%

35is greater than 28 by 20%

i started some of it but i’m really confused with the rest. does anyone know how to do this?

Answers

Answer:

see below

Step-by-step explanation:

You're doing well!  The parts of the table you've done are correct.

For x = 1, you switch to the second part of the function rule (because that part says to use it if [tex]x \ge 1[/tex].

x =1 :   6 - 2(1) = 4   (1, 4)

x = 2:  6 - 2(2) = 2   (2, 2)

x = 3:  6 - 2(3) = 0   (3, 0)

x = 4:  6 - 2(4) = -2  (4, -2)

Each of the parts of the function rule graph as pieces of straight lines.  The first part will be a straight line through points (-4, 1), (-3, 0), (-2, 1), (0, 3) but that part of the graph stops at point (1, 4).  Point (1, 4) is on BOTH parts of the graph, so the two lines connect at that point.

Answer:

Step-by-step explanation:

What is the slope I need the answer fast

Answers

gradient=∆ in y values /∆ in x values

Step-by-step explanation:

pick any two points through which the line is passing through then label the values (any) x¹ and y¹ then x² and y². then subtract y²-y¹/x²-x¹

helpp pleaseeeeeeeeee​

Answers

Interior alternate angles

Peter drives his motorcycle for 56 miles with three different speeds and the average speed is 12.8 miles per hour. First, he drove 4.8 mph and the last speed is 7.4 mph. What is the second speed?

Answers

Answer:

your answer is 0.8 mph

Step-by-step explanation:

i hope i help you

can somebody help me qith this please, im not 100% what the answer is​

Answers

Answer: $129.96 per week

====================================================

Explanation:

1 year = 52 weeks (approximately)

If she earns $6758 in a year, then we divide that by 52 to find the approximate weekly income.

6758/52 = 129.9615 which rounds to 129.96

Roy bought cupcakes for his sister's birthday party. 4 out of the 10 cupcakes had sprinkles on top. What percentage of the cupcakes had sprinkles?

Answers

40%%%%%%%%%%%%%%%%% I believe

factorise first then solve these equations

1.

x^2+5x+4=0

2.

a^2+7a+12=0

Answers

1) factorised is (x+4)(x+1)=0
So x=-4 x=-1

2) factorised is (a-4)(a-3)=0
So a=4 a=3

which is not a property of the sides of a rectangle?

Answers

Answer:

A rectangle doesn't have equal sides

Both sides are not equal

does anyone know how to do this..?

Answers

Answer:

a. x=29, b. x=62

Step-by-step explanation:

a. since this is an isosceles triangle, two angles are equal. we also know that the exterior angle of one side equals the other 2 interior angles. so we have 2x=58, simplify to get x=29

b. same as a, we have x-17 + 38 = 2x-41. simplify to get x+21 = 2x-41. subtract x and add 41 to both sides to get x=62

i can't see all of 2 so i can't help you with that one sorry

Ok done. Thank to me :>

Kipton puts one marshmallow on the scale and it weighs 7.2 grams. How much would 10 marshmallows weigh?

Answers

Answer:

72 grams

Step-by-step explanation:

7.2 x 10 = 72

please explain this got a final tomorrow

Answers

Answer:

9/9=(1/2x+2)/x_2x_2=1/2x+21/2x=4x=8

Using the formula find the slope of a line with these two points (2,10) and (5,15).

Answers

Answer:

Step-by-step explanation:

[tex]\left(x_{1},y_{1} \right) = (2,10)\\\\(x_{2},y_{2}) = (5 ,15}\\\\\\Slope =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\\\=\dfrac{}15-10{5-2}=\dfrac{5}{3}\\\\\\= \dfrac{5}{3}[/tex]

Answer:

slope = [tex]\frac{5}{3}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (2, 10 ) and (x₂, y₂ ) = (5,  15 )

m = [tex]\frac{15-10}{5-2}[/tex] = [tex]\frac{5}{3}[/tex]

pls answer 4th and 5th question . i do not understand

Answers

Step-by-step explanation:

4) total length of the journey is

1st hr = 74km 224m = 74224m

2nd hr = 74km 224m = 74224m

3rd hr = 58km 56m = 58056m

4th hr = 62km 8m = 62008 m

total distance (adding all) = 268512m = 268km 512m .

5) total weight = 22kg 200g = 22200g

mangoes weight = 14kg 750g = 14750g

apples weight = 5kg 80g = 5080g

total weight - fruits weight

(22200-14750-5080)g

= 2370g

= 2kg 370g.

hope this helps you.

8x-22 please help me please help me please help me please help me please help me please help me

Answers

Answer:

8x - 22

Step-by-step explanation:

You can't do anything because in order to subtract 22 from 8x the 22 has to have an x behind it as well. :) hope this helps! (Can I get brainliest? If not it ok! ^w^)

I’m confused…Find u and v

Answers

Hmm maybe A? We learned this at school a while ago, I could be wrong.

What is one geometrical fact explained in the lecture that reflects the mathematical technique da Vinci used in The Last Supper? a. He doesn?t use mathematics in the painting. B. He uses trigonometry to find the exact place where each thing should be located and create the picture plane. C. He uses the coffers of the ceiling to place Jesus in the mathematical center, and to create an illusion that extends the room beyond what is visible.

Answers

Answer:

C. He uses the coffers of the ceiling to place Jesus in the mathematical center, and to create an illusion that extends the room beyond what is visible.

Step-by-step explanation:

See attached. We can see that this option is the best as it reflects what we can see in the painting.

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

c

Step-by-step explanation:

what is the value of x+3x+11X

Answers

Step-1 : Multiply the coefficient of the first term by the constant   3 • -20 = -60  

Step-2 : Find two factors of  -60  whose sum equals the coefficient of the middle term, which is   -11 .

     -60    +    1    =    -59  

     -30    +    2    =    -28  

     -20    +    3    =    -17  

-15    +    4    =    -11  

                     

                           That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -15  and  4  

                    3x2 - 15x + 4x - 20

Step-4 : Add up the first 2 terms, pulling out like factors :

                   3x • (x-5)

             Add up the last 2 terms, pulling out common factors :

                   4 • (x-5)

Step-5 : Add up the four terms of step 4 :

                   (3x+4)  •  (x-5)

            Which is the desired factorization

It's 15x because you're combining like terms

Which street is perpendicular to 2nd Avenue and I also need to know what the slop would be of the new road be perpendicular to D street

Answers

Answer:

the answer is d street :)

A recipe for trail mix says: “Mix 7 ounces of almonds with 5 ounces of raisins.” How many batches would there be if you have 250 ounces of raisins?

Answers

Answer:

20.8333333333

Step-by-step explanation:

7 + 5 = 12. 250 divided by 12 equals 20.8333333333 or 20.833... You will have more than 20 and a half batches but you can just say about 21, however needed.

PLEASE HURRY ‼️
A bag contains 1 red, 1 yellow, 1 blue, and 1 green marble. What is the probability of choosing a green marble, not
replacing it, and then choosing a red marble?

1/16

1/12

1/4

1/2

Answers

Answer:

1/12

Step-by-step explanation:

this is the correct answer

!!!!5 step plan!!!!!

The width of a rectangle is 5 cm more than twice the length the perimeter is 56 cm find the dimensions of the rectangle

Answers

Answer:  W = 20 1/3, L = 7 2/3 cm

Step-by-step explanation:

Width, W, is 5 cm more than twice the length of the perimeter.

Perimeter = 2W + 2L

W = 2L+5

Perimeter is 56cm:

56 cm = 2W + 2L

Substitute W = 2L + 5 for W:

56 cm = 2W + 2L

56 cm = 2(2L+5) + 2L

56 cm = 4L + 10 + 2L

6L = 46 cm

L = 7 2/3 cm

Since W = 2L + 5

W = 2(7 2/3) + 5

W = 2 (23/3) + 5

W = 46/3 + 5

W = 15 1/3 + 5

W = 20 1/3

2W + 2L = P?

2(20 1/3) + 2(7 2/3) =56 ?

40 2/3 + 15 1/3 = 56?

56 = 56  YES

On a trip, you see a large, sphere-shaped house. The volume of the house was 3,367,575 cubic feet. What is the radius? Use 3.14 to approximate pi. Round your answer to the nearest whole number.

Answers

Answer:

r≈93

Step-by-step explanation:

V=4/3πr³

3,367,575=4/3(3.14)r³

3,367,575=314/75r³

multiply both sides by 75/314

804357 27/314=r³

∛804357 27/314=∛r³

r≈93

Donna cut away 7.75 meters of rope. Before that, she had 12 meters of rope. How much rope does Donna have left?

Answers

Answer: 4.25 meters of rope

Step-by-step explanation:

Because Donna is losing 7.75 meters of rope from her original 12 meters, this problem can simply be represented as 12 - 7.75, which equals 4.25.

Hope it helps :) and let me know if you want me to elaborate.

What is the answer for this this question if you don’t your gay

Answers

i dont know the answer

Lena is asked to write an explicit formula for the graphed geometric sequence. On a coordinate plane, 3 points are plotted. The points are (1, 1), (2, 2. 5), (3, 6. 25). What value, written as a decimal, should Lena use as the common ratio? 1. 0 1. 5 2. 5 2. 0.

Answers

Answer:

r = 2.5

Step-by-step explanation:

Consider the y- coordinates of the plotted points

1 , 2.5 , 6.25

The common ratio r is calculated as

r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{a_{3} }{a_{2} }[/tex] = [tex]\frac{2.5}{1}[/tex] = [tex]\frac{6.25}{2.5}[/tex] = 2.5

Help Help Help Help Help Help

Answers

Answer:

∠ 1 = ∠ 3 = 52°

Step-by-step explanation:

∠ 3 and ∠ 6 are same- side interior angles and sum to 180° , so

∠ 3 + ∠ 6 = 180° , that is

∠ 3 + 128° = 180° ( subtract 128° from both sides )

∠ 3 = 52°

∠ 1 and ∠ 3 are vertically opposite angles and are congruent , then

∠ 1 = 52°

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