the coordinates of the point of intersection of lines px + y = 3 and x + 2y = q are (2, -3). find the value of p and q

Answers

Answer 1

Answer:

p = 3 and q = - 4

Step-by-step explanation:

Substitute the coordinates of the solution (2, - 3 ) into the equations and solve for p and q

px + y = 3 , then

2p - 3 = 3 ( add 3 to both sides )

2p = 6 ( divide both sides by 2 )

p = 3

and

x + 2y = q , then

2 + 2(- 3) = q

2 - 6 = q , so

q = - 4


Related Questions

A garden swimming pool with a cuboidal shape is 8m long and 4m wide and 150 cm deep. The pool which is partially filled has 40m cube of water in it. What is the height of the water level in the pool

Answers

Answer:

the pool with 40m³ of water in it is 1.25m deep

Step-by-step explanation:

first convert 150 cm to 1.5m

2nd 8m l × 4m w × 1.5m d = 48m³

3rd divide 40m³ by 8m l × 4m w or 32m²

40m³/32m² = 1.25m deep

Sam and Diane each open a savings account at the same time. Sam invests $4,500 in an account yielding
3.2% simple interest, and Diane invests $5,000 in an account yielding 6.2% simple interest. After twelve
years, who has the greater total of money, and how much greater is it?

Answers

Answer:

Step-by-step explanation:

Given: x + 2 < -5.



Choose the solution set.

{x | x R, x < -3}
{x | x R, x < 3}
{x | x R, x < -7}
{x | x R, x < 7}

Answers

Answer:

x < -7

Step-by-step explanation:

Subtract 2 on both sides to get x < -7.

Hope this helps :)

answer it its a easy pionts no links or ill report u and u will not get brianly anymore pease answer it plsssss​

Answers

Answer:

8:112 third blank put 14

Explain how 1 + 1 can be three.

Will mark brainliest

Answers

Answer:

1+1=2  

1+1−52=2−52

(1+1−52)2=(2−52)2

(1+1−52)2=22−10+(52)2

(1+1−52)2=4−10+(52)2

(1+1−52)2=9–15+(52)2

(1+1−52)2=32–15+(52)2

(1+1−52)2=(3−52)2

1+1−52=3−52

1+1=3

Select the correct answer. The probability that Ashley drives faster than the speed limit (event A) is 0. 34, and the probability that he gets a speeding ticket (event B) is 0. 22. The probability that he drives faster than the speed limit, given that he has gotten a speeding ticket, is 1. Are events A and B dependent or independent? A. Dependent B. Independent C. Insufficient data D. Depends on the other events in the sample space.

Answers

Answer:

Depends on other factors, although I'm not certain, so to speak.

Step-by-step explanation:

We don't know the probability of Ashley getting a speeding ticket when he is not speeding.  [It happens].

Otherwise, event B is dependent on event A.  Speeding must occur to initiate event B.

Please help! It’s due today

Solve: 5|9 – 3x|– 7 = 38

Answers

Answer:

x = 0

Step-by-step explanation:

y=2x+3=
please help me i have test

Answers

standard for for this is 2x-y= -3

[tex] \: \: \: \: \: [/tex]

[tex] = \: \: \: x = - \frac{3}{2 } \\ \\ [/tex]

hope it helps

refer to attachment

[tex] \: \: \: \: \: [/tex]

i need help what is 7h+1−h+4?

Answers

Answer:

6h+5

Step-by-step explanation:

7h-h=6h

1+4=5

Hope this helps :)

Answer:

6h + 5 is the correct answer

Step-by-step explanation:

7h + 1 - h + 4

7h + 1 + 4 - h

7h + 5 - h

6h + 5

hope this helped!

mark me brainliest :D

just started algebra ​

Answers

Answer:

thats really great! its simple!

Great! How about your question?

solve pls brainliest

Answers

Answer:

$50.96

Step-by-step explanation:

300(1.04)^4

350.957568.......simplify

350.96.................round to nearest hundredth

350.96-300

50.96

50.96
^that person right

Can someone help me solve This. Use photo as context. In exponential growth functions , the base of the exponent must be greater than 1. How would the function change if the base of the exponent were 1? How would the exponent change if the base of the exponent were between 0 and 1?

Answers

Answer:

If the exponent was 1, the function would remain constant but if the function was between 0-1 it would decrease towards the x-axis.

In one week, a bakery made 1,424 trays of 25 chocolate chip cookies. The bakery also baked 628
trays of 19 sugar cookies. How many cookies did the bakery bake during the week? ")

Answers

Answer:
The bakery baked 11,932 sugar cookies.
Explanation:
628 trays x 19 cookies = 11,932 cookies

They also baked 35,600 chocolate chip cookies. The total of BOTH cookies baked is 47,532. Hope this helped! ^^

What is the value of x?

Answers

Answer:

sine 60 = x / 8

(8 * 0.86603) = x

x = 6.92824

Step-by-step explanation:

please give me the correct answer. T^T

Answers

Answer:

All pairs of corresponding sides are congruent

Step-by-step explanation:

∠A≅∠D

∠B≅∠E

∠C≅∠F

2 tbsp. of peanut butter have 0.25 of total carbohydrate a day what fraction is that?

Answers

0.25 is 1/4 if that's what youre asking, i'm not sure,

The line given by y=2x+1,and the circle given by (x+1)^2+y^2=1 are graphed.

Answers

Answer:hhfff

Step-by-step explanation:

The required solutions to the line intersecting the circle at the points are x = -1, y = -1, and x = -0.2; y =0.6.

What is the equation of a circle?

The equation of a circle with center (h,k) and radius r is :

r² = (x−h)² + (y−k)²

The graph correctly defines one solution.

The straight line intersects the circle at point A in the third quadrant.

The coordinates of point A are (-1,-1).

Hence, the solution is: x = -1,and  y = -1

(x+1)² + y² = 1 and y=2x+1

Solving for 'x'

(x+1)² + (2x+1)= 1

x²+1+2x + 4x² + 1 + 4x =1

5x² + 6x + 1 = 0

(x+1/5)(x+1) = 0

(x+1/5) = 0 and (x+1) = 0

x = -1/5 and x = -1

For x = -1

y = 2(-1) +1 = -2+1 = -1

For x = -1/5

y = 2(-1/5) +1 = -2/5 + 1 = 3/5

Hence, the solution is : x = -0.2 and y =0.6

Learn more about the equation of a circle here:

brainly.com/question/1554214

#SPJ2

The question seems to be incomplete the missing part has been attached below

2.5x + 6 = 0.5x + 46
I’ll give brain whoever solves it
PLEASE DO IT STEP BY STEP

Answers

Answer:

x=20

Step-by-step explanation:

2.5x+6=0.5x+46

subtract 0.5x from both sides

2x+6=46

subtract 6 from both sides

2x=40

divide both sides by 2

x=20

7th grade math
3/4 times 1/2

Answers

Answer:3/8

Step-by-step explanation: 3/4 x 1/2 = 3/8



· Jessica has 5x - 3 magazines while Kenya has 4x + 2 magazines. How many

magazines do they have altogether?

Answers

Answer:

9x-1

Step-by-step explanation:

solution - jessica has 5x-3 magazines

                kenya has 4x+1 magazines

so, magazines do they have together = 5x-3+4x+2

= 9x-1

hence, magazines do they have together = 9x-1

Find the slope line (3,-8) and (-5,2)

Answers

Answer:

y2 - y1 / x2 - x1

-8 - 2 / 3 - (-5)

-10 / 8

-5 / 4

Does this graph represent a function? Why or why not?
D. Yes, because it is a curved line.
O A. No, because it fails the vertical line test.
• B. No, because it is not a straight line.
O C. Yes, because it passes the vertical line test.

Answers

Answer:

c

Step-by-step explanation:

C, because a vertical line will only hit the function on one point at a time.

Answer:

C. Yes, because it passes the vertical line test.

find the final amount when 10500 is invested at 9% simple interest for 4 years

Answers

Answer:

3780

Step-by-step explanation:

10500 x 9% x 4 divided by 100=3780

What’s the answer to 2(x+3)

Answers

Hello there!

This isn't an equation, but here are some options for what you may be looking for!

Product, Multiplying, Evaluating, and Simplified Form: 2x + 6

Factor: 2(x+3)

Hope I helped,

Brainliest is always appreciated.

Happy Holidays.

A line passes through the point (0, -3/2) and has a slope of 1/2. what is the eqaution of the line?

Answers

Answer:

y = 1/2x - 3/2

Step-by-step explanation:

We apply our knowledge of slope intercept form:

y = 1/2 x + b

therefore, we  plug in the values for x and y getting

-3/2 = 0 + b

so b = -3/2, plug it back into the equation getting

y = 1/2x - 3/2

Find the factorization of the polynomial below. 81X2 - 18x+1

A. (18x-1)2
B. (9x-1)2
C. (9x + 1)2
D. (18x + 1)2​

Answers

Answer:

B.(9 x -1)^{2}

Step-by-step explanation:

Rewrite the expression into the form of a^2\pm 2ab+b^2:(9 x)^{2} - 2 \times 9 x + 1^{2}

Factor the expression using a^{2}\pm 2ab+b^{2}=(a\pm b)^{2}:(9 x -1)^{2}

we have  81x^2 - 18x+1 = (9x)^2 -2.9x + 1 = (9x -1)^2

ok done. Thank to me :>

Cuanto es ( 4/2 - 1/2 ) + 3/4 simplificado I need the answer my English is no good I’m sorry both I need

Answers

9/4 or 2 1/4

Step-by-step explanation:

Help please.

A canine's body temperature is considered to be normal if it is 101 degrees Fahrenheit with an absolute deviation of 1.5 degrees Fahrenheit.
A. write an absolute value inequality that represents the normal temperature range. B.solve the inequality. what is the normal temperature range?

Answers

Answer: 101°F

Step-by-step explanation: A canine's body temperature is considered to be normal if it is 101°F with an absolute deviation of 1.5°F. a) Write an absolute value inequality

Mrs. Rush puts $300 in a bank account that earns 5% interest every year. How much will be in the bank after 3 years? (make sure you include the $ sign and round your answers to two decimal places

Answers

Answer:

$945 no cents so no need to round the recimals

Step-by-step explanation:

$300 times the 5% is $15 dollars in interest

so in three years it would be an additional $45 dollars

FOR
Equatus
Solve THIS systim of
4x + 5y = 8
= 8
+
4x = 6-5y

Answers

Answer:

no solutions

Step-by-step explanation:

4x+5y=8

-4x+5y=6

0=2

no solutions

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