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
DerKrebs [107]
3 years ago
8

7) Solve the following system of equations below algebraically using substitution.

Mathematics
1 answer:
Pani-rosa [81]3 years ago
8 0

Answer:

x = 3.25

y =4.75

Step-by-step explanation:

In order to Solve the following system of equations below algebraically using substitution method we say that;

let;

8x - 4y = 7 ..................... equation 1

x + y = 8.......................... equation 2

from equation2

x + y = 8.......................... equation 2

x = 8 - y.............................. equation 3

substitute for x in equation 1

8x - 4y = 7 ..................... equation 1

8(8-y) - 4y = 7

64-8y-4y=7

64-12y=7

collect the like terms

64-7 = 12y

57= 12y

divide both sides by the coefficient of y which is 12

57/12 = 12y/12

4.75 = y

y =4.75

put y = 4.75 in equation 3

x = 8 - y.............................. equation 3

x = 8 -4.75

x = 3.25

to check if your answer is correct, put the value of x and y in either equation 1 or 2

from equation 2

x + y = 8.......................... equation 2

3.25 + 4.75 =8

8=8.................... proved

You might be interested in
Which value in this data set is an outlier? 4, 5, 1, 7, 4, 5, 8, 9, 6, 5, 4, 9, 7
omeli [17]

1 is your answer

Note that all the other numbers are inbetween 4 and 9. 1 however, is outside the amount, therefore, your outlier is 1

hope this helps

5 0
3 years ago
Read 2 more answers
Could x = -5 be a solution to the inequality -6 < 3x + 9 < 21?
musickatia [10]

Answer:

<h2><u><em>x=−5<x<4</em></u></h2>

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
I NEED HELP PLEASE! THANKS :)
Semmy [17]

First, add the number of total male and female students.

216 + 207 + 198 + 194 = 815 males

193 + 214 + 197 + 201 = 805 females

Second, add to find the total number of students.

815 + 805 = 1620

Third, create a ratio from females to total students

805/1620

Fourth, simplify the fraction.

805/1620 → 161/324

Therefore, the answer is A.

Best of Luck!

6 0
3 years ago
A mixture of 30 liters of paint is 25% red tint, 30% yellow tint and 45% water. 8 liters of yellow tint are added to the origina
Feliz [49]

Answer:

Yellow Paint: 0.44736842105%

Red Paint: 0.19736842105%

Water: 0.35526315789%

Step-by-step explanation:

Yelow:

30 x 0.3 = 9

8 + 9 = 17

30 + 8 = 38

17/38 = 0.44736842105%

Red:

30 x 0.25 = 7.5

7.5/38 = 0.19736842105%

Water:

30 x 0.45 = 13.5

13.5/38 = 0.35526315789%

4 0
3 years ago
Read 2 more answers
Please help I will give brainly
Norma-Jean [14]

Answer:

the answer is b

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • What is the solution of y= 1/2x - 1 and y=3x+4
    6·1 answer
  • Yo can someone help me out
    7·2 answers
  • Kilingrams 4,000鈩arma
    6·1 answer
  • __, __, 16, __, __, 40 <br><br>what are the missing numbers in this sequence?
    12·1 answer
  • List the two factor 36 and 48
    13·2 answers
  • Find the distance between A and B.
    9·1 answer
  • Which of the following numbers could be the sides of a right triangle. A)8,15,17. B)6,8,12 C)9,11,21 D)4,13,16
    11·1 answer
  • Can someone help with this question??
    5·1 answer
  • Item 1
    10·1 answer
  • The temperature dropped 4°C every hour for 6 hours. What was the total number of degrees the temperature changed in the 6 hours?
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!