1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
maks197457 [2]
2 years ago
7

This is due like right now, please help me!!!!

Mathematics
1 answer:
Varvara68 [4.7K]2 years ago
8 0

\bold{\huge{\orange{\underline{ Solution }}}}

\bold{\underline{ Given \: Rules}}

  • <u>The </u><u>sum</u><u> </u><u>of </u><u>the </u><u>number </u><u>in </u><u>each </u><u>of </u><u>the </u><u>four </u><u>rows </u><u>is </u><u>the </u><u>same </u>
  • <u>The </u><u>sum </u><u>of </u><u>the </u><u>numbers </u><u>in </u><u>each </u><u>of </u><u>the </u><u>three </u><u>columns </u><u>is </u><u>the </u><u>same</u>
  • <u>The </u><u>sum </u><u>of </u><u>any </u><u>row </u><u>does </u><u>not </u><u>equal </u><u>the </u><u>sum </u><u>of </u><u>any </u><u>column </u>

\bold{\underline{ Let's \: Begin}}

<u>According </u><u>to </u><u>the </u><u>Second</u><u> </u><u>rule </u><u>:</u><u>-</u>

\sf{ 75+b+83=76+80+d=a+81+85+78+c+e }

\sf{ 158 + b = 156 + d = 166 + a = 78 + c + e ...(1)}

<u>According </u><u>to </u><u>the </u><u>first </u><u>rule </u><u>:</u><u>-</u><u> </u>

\sf{ 75+76+a+78 = b+80+81+c = 83+86+d+e}

\sf{ 229 + a = 161 + b + c = 168 + d + e ...(2)}

<u>From </u><u>(</u><u> </u><u>1</u><u> </u><u>)</u><u> </u><u>we </u><u>got </u><u>:</u><u>-</u>

\sf{ 158 + b = 166 + a, 156 + d = 166 + a }

\sf{ b = 166 - 158 + a,  d = 166 - 156 + a }

\sf{ b = 8 + a,  d = 10 + a ...(3)}

<u>Subsitute </u><u>(</u><u>3</u><u>)</u><u> </u><u>in </u><u>(</u><u> </u><u>2</u><u> </u><u>)</u><u> </u><u>:</u><u>-</u>

\sf{229+a = 161+8+a+c = 168+10+a+e}

\sf{ 229+a = 169+a+c = 178+a+e}

<u>We</u><u> </u><u>can </u><u>write </u><u>it </u><u>as </u><u>:</u><u>-</u>

\sf{ 229+a = 169+a+c \:or\:229+a = 178+a+e}

\sf{ c = 299-169+a-a\:or\:e = 229-178+a-a}

\sf{ c = 60 \: and \: e = 51 }

<u>Subsitute </u><u>the </u><u>value </u><u>of </u><u>c </u><u>and </u><u>e </u><u>in </u><u>(</u><u> </u><u>1</u><u> </u><u>)</u><u>:</u><u>-</u>

\sf{ 158 + b = 156 + d = 166 + a = 78 + 60 + 51 }

\sf{ 158 + b = 156 + d = 166 + a = 189}

<u>Now</u><u>, </u>

\sf{ For \: b,  158 + b = 189 }

\sf{ b = 189 - 158 }

\sf{ b = 31}

\sf{ For \: d ,  156 + b = 189 }

\sf{ d = 189 - 156 }

\sf{ d = 33}

\sf{ For \: a,  166 + a = 189 }

\sf{ a = 189 - 166 }

\sf{ a = 23 }

Hence, The value of a, b, c, d and e is 23, 31 ,60 ,33 and 51 .

You might be interested in
Brad will put fencing around a circular
s344n2d4d5 [400]

Answer:

20π ft²

Step-by-step explanation:

Calculate the circumference of this circular area:  C = 2πr, where r is the radius:

C = 2π(10 ft) = 20π ft²

3 0
3 years ago
What is 87/297 in simplest form??
castortr0y [4]

Answer:

Reduce 87/297 to lowest terms

The simplest form of 87297 is 2999.

4 0
2 years ago
What are the coordinates of point P on this graph?
GarryVolchara [31]

Answer:

The coordinates are 6,5.

Step-by-step explanation:

Go over 6 and go up 5 and 6ou have your answer.

3 0
3 years ago
Read 2 more answers
Derrick has $4 to play video games at the mall each game cost a quarter to play. What’s the total number of games he can play
Alborosie
Derrick can play 16 games in total.
5 0
3 years ago
Read 2 more answers
I REALLY NEED HELP TO PASS!
expeople1 [14]
A = 1

4/17=2/8.5
...................
7 0
3 years ago
Read 2 more answers
Other questions:
  • Francois baked just enough cookies to fill all the orders at his bakery. While the cookies were cooling, a kitchen assistant kno
    8·1 answer
  • Can someone answer this please??
    14·1 answer
  • The Roth family has liquid assets of $10,000, use assets of $150,000 and investment assets of $34,000. They also have liabilitie
    10·1 answer
  • a group of 4 adults and 6 children paid 76$ for admission to the zoo another group of 4 adults.and 3 children paid 68$ how much
    6·1 answer
  • 4. Exercise 8.1.10 (2 points)(a) Find a recurrence relation for the number of bit strings of positive lengthnthat containthe bit
    14·1 answer
  • At 1:00 the water level in a pool is 13 inches at 2:30 in the water level is 28 inches what is the rate of change
    14·1 answer
  • Find the least common denominator for these two rational expressions s^3/s^2-2s+1 -2/s^2-4s+3
    7·2 answers
  • 2 Find the sum: 8 7 + - = ?​
    6·2 answers
  • The price of an item has been reduced by 10%. The original price was $51. What is the prince of the item now?
    13·2 answers
  • Is it true or false?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!