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
alexandr402 [8]
3 years ago
11

Find the solution of this system of equations. x-8y=21 and 3x-8y=15

Mathematics
1 answer:
dusya [7]3 years ago
8 0

Answer:

x = -3 , y = -3

Step-by-step explanation:

Solve the following system:

{x - 8 y = 21 | (equation 1)

3 x - 8 y = 15 | (equation 2)

Swap equation 1 with equation 2:

{3 x - 8 y = 15 | (equation 1)

x - 8 y = 21 | (equation 2)

Subtract 1/3 × (equation 1) from equation 2:

{3 x - 8 y = 15 | (equation 1)

0 x - (16 y)/3 = 16 | (equation 2)

Multiply equation 2 by 3/16:

{3 x - 8 y = 15 | (equation 1)

0 x - y = 3 | (equation 2)

Multiply equation 2 by -1:

{3 x - 8 y = 15 | (equation 1)

0 x+y = -3 | (equation 2)

Add 8 × (equation 2) to equation 1:

{3 x+0 y = -9 | (equation 1)

0 x+y = -3 | (equation 2)

Divide equation 1 by 3:

{x+0 y = -3 | (equation 1)

0 x+y = -3 | (equation 2)

Collect results:

Answer:  {x = -3 , y = -3

You might be interested in
True or false (if it's false, replace the words in parentheses with the correct answer):
Elis [28]

Answer:

1 is true , 2 is false

Step-by-step explanation:

for equation 2

-2x<8

-2x=8

then we divide both side by coefficient of x which is -2

-2x/-2=8/-2

we will be left with

x= 8/-2

x=-4 which shows that x<-4 and it differs from the second inequality

4 0
2 years ago
Point S is on line segment RT given ST=3x-8, RT = 4x, and RS = 4x - 7, determine the numerical length of RT
seraphim [82]

Answer:

20

Step-by-step explanation:

Segment ST is half and RS is the other half. RT is the whole line so adding ST and RS will get you RT. 4x-7+3x-8=4x. solve for x which will get you 5. Replace the x with 5 in 4x (for segment RT) will get you an answer of 20 for the whole line.

8 0
3 years ago
Which should come next at the end of this row of letters: a b d g?
Sav [38]
Refer to the figure shown below.

From a to b, we skip 1 letter.
From b to d, we skip 2 letters.
From d to g, we skip 3 letters.

Inductively, we should skip 4 letters to arrive at the next letter, which is k.

Answer: k

5 0
3 years ago
Read 2 more answers
State the gradient of the line perpendicular to the line y=3x-2
kherson [118]

Answer:

-1/3

Step-by-step explanation:

3 is the gradient of the other line

m1×m2=-1 (equation for perpendicular lines)

m1×3= -1

m1= -1/3

Pls confirm if its correct

correct me if wrong

thanks! :)

7 0
3 years ago
You have $15 to spend in a candy store. If Kitkat cost $0.75 each and mini Snickers are $0.25 each.
zhuklara [117]

Answer:

1. 60 snickers

2. 20 KitKats

i cannot anwser 3 cause its not showing up somehow. Sorry.

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Other questions:
  • F(x) = 3x; find f(7)
    9·1 answer
  • A New York Times poll on women's issues interviewed 1025 women randomly selected from the United States, excluding Alaska and Ha
    10·1 answer
  • A tree casts a shadow 9 meters long. At the same time, a building 54 meters tall casts a shadow 21 meters long. To the nearest m
    13·1 answer
  • What is the percent of change from 100 to 27?
    12·1 answer
  • R1 663 200 in words?​
    6·1 answer
  • #6. Please I really need help
    11·2 answers
  • PLEASEEE HELPPP I don’t know this
    13·1 answer
  • Simpllefie this ansewer 10c–7c
    9·1 answer
  • Alexandra ran 2 4/5 miles last weekend. This weekend, she ran 3 1/5 miles. How many miles did she run in all?
    7·2 answers
  • Is <img src="https://tex.z-dn.net/?f=%5Csqrt%7B72%7D" id="TexFormula1" title="\sqrt{72}" alt="\sqrt{72}" align="absmiddle" class
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!