TOPIC: similtaneous linear equations

p1 + 2q = 3,
p - 2q = 3

Answers

Answer 1

Answer:

q-0

p-3

Step-by-step explanation:

there are two ways to solve elimination or substitution method I'll use the latter

so take the second equation and find an expression equal to p

p-2q=3

p=2q+3

substitute the above expression in the first equation

(2q+3)1+2q=3

open brackets

2q+3+2q=3

collect like terms

4q+3=3

solve

4q=0

q=0

substitute q in any equation you want I'll choose the second

p-(2×0)=3

p-0=3

p=3

Answer 2

Answer:

p = 3 ; q = 0

Step-by-step explanation:

In this linear pair of eqn. in 2 variables , they have a unique solution i.e. they will have only single solution . We know that

[tex]p + 2q=3[/tex] & also [tex]p -2q=3[/tex] . So, we can also equate them as :-

[tex]p + 2q = p-2q[/tex] (∵ Both the eqn. have 3 in their right hand side product )

Solving the eqn. gives,

[tex]=> 2q + 2q = p-p\\=> 4q=0\\=>q=0[/tex]

Putting the value of q in any one of the linear eqn gives ,

[tex]p+2q=3\\=> p+2(0)=3\\=>p+0=3\\=>p=3[/tex]


Related Questions

what type of angle is <CEB? ​

Answers

Answer:

obtuse angle

Step-by-step explanation:

m(<CEA)=m(<BED)=88 (vertically opposite angles)

So m(<CEB)+m(<AED)=360-(88+88)=182

m(<CEB)=m(<AED)= 182÷2=92

Explain why the ratio 3ft./1yrd. has a value of one

Answers

Answer:

Down below

Step-by-step explanation:

There are 3 feet in 1 yard which makes it have a value of one.

3ft = 1yd

Best of Luck!

6²-26+3
A) quadratic monomial
B) cubic binomial
C) quartic trinomial
D) quadratic trinomial

Answers

I’m pretty sure it’s d
The answer would be D

Kelly can draw 15 shapes in 2 minutes how long does it take kelly to draw 120 shapes in the same rate

Answers

Answer:

16

Step-by-step explanation:

15/120

2/x     (cross multiplication

Answer:

Your answer is 16 Minutes

Step-by-step explanation:

Very Easy!

15 Shapes/ 2 minutes = 120 Shapes/ X Minutes

Rearrange that, you get 15X = 240 as you cross multiplied,

240/15 = 16!

X=16!

HELPP MEEE IO PRAY THE LORD FOR SOMEONE TO HELPP

Answers

answer 3(n+4)=(n/2)-8

Step-by-step explanation:

...idk hope this one helps

Order 5/8 , 0.5 , 58.3% greatest to least

Answers

Answer:

0.5,5/8, 58.3

Step-by-step explanation:

0.5 is 1/2, and 5/8 is 1/8th larger than 1 half, and 58.3 is the only one with a whole number, so its the largest. Hope this helped, can i maybe get brainliest :D

The required ascending order is given as 0.5, 58.3%, and 5/8.

Given that,
To arrange the given number in ascending order,
5/8 , 0.5 , 58.3%

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
5 / 8 = 0.625
58.3% = 0.583

So,
0.5 < 58.3% < 5/8

Thus,the required ascending order is given as 0.5, 58.3%, and 5/8.

learn more about ascending order here,
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At the aquarium there are 840 sharks and 630 lion fish, for a total of 1470 fish all together. What is the ratio of fish to sharks?

(Reduce your ratio to lowest terms, for example reduce 15:6 to 5:2

Answers

Answer:

7:4

Step-by-step explanation:

The number of sharks at the aquarium is 840

The number of lion fish is 630

The total number of fish is 1470

Therefore the ratio of fish to sharks can be calculated as follows

= 1470/840

= 7:4

Hence the ratio of fish to sharks is 7:4

If Kim's age is twice of her sister. When you add Kim's age to her sister age, you get 36. How old is each sister? A) Write an equation that represents the situation. Explain any variable used. B)solve the equation from part (a)show your work. State your solution as a complete sentence. Thank you

Answers

Answer:

Let's kim's sisters age be 2x and kim's age be x.

★ When we add kim's age to her sister age, they equals to 36.

So, the equation becomes -

[tex] \\ \implies \sf \: x + 2x = 36 \\ \\ \\ \implies \sf \: 3x = 36 \\ \\ \\ \sf \underline{Now, \: \: solve \: \: for \: x \: \: - } \\ \\ \\ \implies\sf \: x = \frac{36}{3} \\ \\ \\ \implies \large{ \boxed{ \sf{ x = 12}}} \\ [/tex]

Kim's sisters age = 12 years.Kim's age = 2x = 2 × 12 = 24 years.

The graph of the ellipse below (passes/does not pass) the______ so the graph (is/is not) that of a function. please help fast​

Answers

Answer:

does not pass the vertical line test so the graph is not a function

Step-by-step explanation:

Is it B or C? I forgot for when you simplify if you either multiply or add.

Answers

Answer:

B

Step-by-step explanation:

[tex](w^8)^8=w^{8\times8}=w^{64}[/tex]

But,

[tex]w^8\times w^8=w^{8+8}=w^{16}[/tex]

order from least to greatest: -0.8, 2/5, 0.825, -3/5

Answers

-0.8, -3/5, 2/5, 0.825

-2x+4y=-28 solve for y please and how do I show my work could u pls do it on paper and show me ?:)

Answers

the x in -2x gets substituted with 0 since we don’t know what x equals

Hope this helped !!

If ST has endpoints S(-6, -1) and T(0, 1), then the midpoint M of ST lies on the x-axis.
SOMEONE PLEASE HELP!!!

Answers

Answer:

formula: M (x1 +x2/2 , y1+y2/2 )

M(-6+0/2 , -1+1/2)

M(-6/2 , 0/2)

M=(-3,0)

Step-by-step explanation:

The midpoint of the line ST lies on the x-axis with the coordinate, (-3, 0)

What is a midpoint?

A midpoint is the center of two points, It lies at the same distance from the two endpoints.

The coordinates of the endpoints of a line ST are as follows:

The coordinate of S is (-6, -1)

The coordinate of T is ( 0, 1)

The midpoint of the line ST is M

The coordinates of M is given as,

M = ( x₁ + x₂) /2 , ( y₁ + y₂) /2

x₁ = -6

x₂ = 0

y₁ = -1

y₂ = 1

The coordinates of M is,

( -6 +0) / 2 , ( -1 +1) /2

-3, 0

The coordinates of the midpoint of the line are ( -3, 0).

To know more about Midpoint

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help me plz i will mark

Answers

Answer: I think it's the 2nd one

and I'm not guessing but yea it's probably the 2nd one

Step-by-step explanation:

Hannah took six quizzes in math. She scored 4 twice, 6 once, and 8 three times. What ja Hannah’s average for the six math quizzes?

Answers

Answer:

Option H. 6⅓

Step-by-step explanation:

Let X be the score.

Let F be the number of scores (i.e the frequency)

From the question given above, the following data were obtained from:

X >>>>>>>>> F

4 >>>>>>>>> 2

6 >>>>>>>>> 1

8 >>>>>>>>> 3

Thus, we can obtain the average as follow:

X >>>>>>>>> F >>>>>>> FX

4 >>>>>>>>> 2 >>>>>>> 8

6 >>>>>>>>> 1 >>>>>>> 6

8 >>>>>>>>> 3 >>>>>>> 24

Summation (FX) = 8 + 6 + 24

Summation (FX) = 38

Summation (F) = 2 + 1 + 3 = 6

The average = summation (FX) /Summation F

The average = 38/6

The average = 6⅓

Therefore, Hannah's average for the six math quizzes is 6⅓.

Given: KM bisects JKL
Prove: m MKL= 1/2m JKL

please explain

Answers

Answer:

Step-by-step explanation:

Given :

KM bisects JKL

To Prove :

m∠MKL = [tex]\frac{1}{2}\angle \text{JKL}[/tex]

                    Statements                                      Reasons

1). KM bisects ∠JKL                                 1). Given

2). m∠JKM = m∠MKL                              2). Definition of congruent angles

3). m∠JKM + m∠MKL = m∠JKL              3). Angle addition postulate

4). m∠MKL + m∠MKL = m∠JKL              4). Substitution property of equality

5). 2m∠MKL = m∠JKL                            5). Distributive property

6). m∠MKL = [tex]\frac{1}{2}\angle \text{JKL}[/tex]                               6). Division property of equality

Please help me :( this is eighth grade math and it’s hard for me cause I’m dumb

Answers

Answer:

b when b³ = 8

Step-by-step explanation:

Value of c when c² = 8 :-

[tex]c^2 = 8\\=> c = \sqrt{8} = 2\sqrt{2} = 2.828[/tex]

Value of d when d³ = 9 :-

[tex]d^3 = 9 \\=> d = \sqrt[3]{9} = 2.080[/tex]

Value of b when b³=8

[tex]b^3 = 8\\=> b = \sqrt[3]{8} = 2[/tex]

Value of a when a² = 9

[tex]a^2 = 9\\=> a = \sqrt{9} = 3[/tex]

Comparing all the values of a , b , c , & d ..... we find that value of b is the least

Answer:

smart

Step-by-step explanation:

If a = 2 and b = 4, then 27 - b 2 ÷ a + (11 - 5) is equal to _____.

29
25
11.5
23​

Answers

Answer: 29

27 - 4 • 2 / 2 + (11 - 5)
27 - 4 • 1 + 6
27 - 4 + 6
27 + 2
29

2x+4(7−x)
HELP me plz :c

Answers

Step-by-step explanation:

2x + 4(7-x)

= 2x + 28 -4x

= 28 - 2x

Which of the following is equivalent to 125%


7\4

0.125

5/4

1.025

Answers

[tex]\huge\boxed{\boxed{\bold{\frac{5}{4}}}}[/tex]

[tex]\hrulefill[/tex]

Let's start by finding [tex]125\%[/tex] in decimal form. To do this, just divide the percentage by [tex]100[/tex]:

[tex]125\div100=1.25[/tex]

This doesn't match any of our choices, so we'll try fraction form.

A percentage in fraction form is just the percentage over a denominator of [tex]100[/tex].

[tex]\frac{125}{100}[/tex]

Now we divide both the numerator and denominator by their greatest common factor, which is [tex]25[/tex]:

[tex]\frac{125\div25}{100\div25}=\large\boxed{\frac{5}{4}}[/tex]

1 USD is equal to 1.03069 Canadian dollars Mitchell travels from the US to Canada, where he exchanges 150 US dollars for Canadian dollars. He then spends 20 Canadian dollars, returns to the US, and exchanges the remaining money back to US dollars. How many US dollars does Mitchell have remaining?

Answers

Answer:

130$

Step-by-step explanation:

Answer:

Mitchell will have 130.66 USD remaining.                                                              

                                                                                                                                                                                     

How many calories will Jacob burn in 1 minute while roller-skating????

Answers

Answer:

the answer is five

Step-by-step explanation:

first think of it like 40 over 200 then simplified down. which will get you 1/5 ,therefore five is the answer.

what's -2 divided by -2

Answers

Answer:

1

Step-by-step explanation:

simple math..

-2/(-2) = 1
2/2=1 if you have one - is -1, but if you have both negative than two minuses make positive

find the first five terms of each sequence an = -2(n-7)

Answers

Answer:

when n=1

= -2(1-7) = 12

when n=2

= -2(2-7) = 10

when n=3

= -2(3-7) = 8

when n=4

= -2(4-7) = 6

when n=5

= -2(5-7) = 4

Step-by-step explanation:

i’d george washington is on the quarter and the $1 bill and Abraham lincoln is on the penny and the $5 bill which of the following is true

Answers

Answer:

Both of them are true?

b) aº – 49
f) 2a? - 72
j) 8xy - 18xy​

Answers

Answer:

b) -49

f) -73a

j) -10xy

don't knw may be wrong

Answers:
b) -48
f) 2(a-36)
j) -10xy

I need help! With this problem

Answers

Answer:

1.) 5^7     2.) 4^a+b     3.) a^c+d

Step-by-step explanation:

If the exponents are number, you can add the numbers together. Do not add the base numbers. ( Ex: 3 + 4 = 7 )(problem 1)

If the exponents are variables, indicate that you are adding the variables by putting an addition sign between the letters.

Pls help I don’t understand

Answers

Answer

B) a bisector
Answer
B) bisector!!!


Help please. I don’t understand and my teacher didn’t bother to teach us any of this and my brain hurts!!!!

Answers

Answer:

  23.  42 m^2

  24.  144 ft^2

  25.  68 cm^2

Step-by-step explanation:

The teacher should not need to spend any time teaching this. The area of the total figure is the sum of the areas of its parts. You already know that. And, you already know how to compute the areas of triangles and rectangles.

__

You may recall that the area of a triangle is ...

  A = 1/2bh

and the area of a rectangle with the same base and height is ...

  A = bh

So, a triangle with base b and height h has the same area as a rectangle with the same base (b) and half the height (h/2). Recognizing this makes these problems really simple.

__

23. The base of the rectangle and triangle is 7 m. The height of the triangle is 4 m, so its area is equivalent to adding 4/2 = 2 m to the 4 m height of the rectangle. Then the total area is ...

  A = (7 m)(4 m +(1/2)(4 m)) = (7 m)(6 m) = 42 m^2

__

24. Since there are two identical triangles of height 5, their total area is equal to that of a rectangle of height 5.

  A = (12 ft)(7 ft +5 ft) = 144 ft^2

__

25. The 5 cm height of the triangle makes it have an area equivalent to a rectangle 5/2 cm high.

  A = (8 cm)(6 cm +5/2 cm) = 68 cm^2

Note: we have read the fuzzy numbers as 8 cm wide, 6 cm high for the rectangle, and 5 cm high for the triangle. If your figure is different, please use the appropriate numbers in the calculation.

5+3(-x-9)+ 4x – 2(5x-1)

Answers

Answer:

=20 -9x

Step-by-step explanation:

5+3(-x-9)+ 4x – 2(5x-1)

=5 -3x -27 + 4x – 10x + 2

=5 + 2 -27 -3x + 4x – 10x

=20 -9x

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