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
daser333 [38]
3 years ago
12

Solve the system of equations by the addition method { 5x-y=-3 { 4x+3y=-48

Mathematics
1 answer:
Svetach [21]3 years ago
4 0

Answer:

(-3,-12)

Step-by-step explanation:

Multiply the first equation by three to match the second equations y-term

  • 3(5x-y=-3)
  • 4x+3y=-48

  • 15x-3y=-9
  • 4x+3y=-48

The y-terms cancel out

  • 15x=-9
  • 4x=-48

Add the x-terms with each other and the terms after the equal sign as well

  • 19x=-57

Divide -57 by 19

  • x=-3

Input your x-term (-3) into one of the two first equations and multiply

Either:

  • 5(-3)-y=-3 or
  • 4(-3)+3y=-48

  • -15-y=-3 or
  • -12+3y=-48

Simplify your terms

  • -y=12
  • 3y=-36

Divide

  • y=-12
  • y=-12
You might be interested in
How many six-letter passwords are there that use only lowercase letters with no letter repeated?
Pani-rosa [81]
There are 26 letters of the alphabet
you want 6-character passwords without repetitionthe first time you pick a letter, you pick from 26 lettersthe second time you pick a letter, you pick from 25 letters (no repetitions !)the third time you pick a letter, you pick from 24 letters, and so onthe answer is 26*25*24*23*22*21=165,765,600 passwords
3 0
3 years ago
Y=-3x - 4 <br> y= 2x + 1
Naily [24]
\left \{ {{y=-3x-4} \atop {y=2x+1}} \right. \\\\ substitution\ method\\\\&#10;-3x-4=2x+1\ \ \ | subtract\ 2x\\\\&#10;-5x-4=1\ \ \ | add\ 4\\\\&#10;-5x=5\ \ \ | divide\ by\ -5\\\\&#10;x=-1\\\\&#10;y=2x+1=2*(-1)+1=-2+1=-1\\\\&#10;Solution:\\ \left \{ {{y=-1} \atop {x=-1}} \right.
4 0
3 years ago
There are 7 math folders on a classroom shelf. This is 1/3 of the total number of math folders in the classroom. what is the tot
DaniilM [7]

Answer: 21

Step-by-step explanation:

1/3 = 7

7 * 3 = 21

1/3 = 7/21

8 0
2 years ago
Read 2 more answers
The volume of a sphere can be calculated by V = 4/3 * pi If the volume is 113.04 cm ^ 3 what is the radius?
lisov135 [29]

Answer:

2.99 cm

Step-by-step explanation:

V= \frac{4}{3}(pi)(r^3)=113.04cm^3

113.04/ \frac{4}{3}(pi) = r^3 = 26.99

r=\sqrt[3]{26.99} = 2.99cm

3 0
3 years ago
A measure is stated as 1000m correct to the nearest 50m find the lower bound
dexar [7]
1000m divided by 50 = 20m
4 0
2 years ago
Other questions:
  • Teh perimeter of the rectangular shaped base of a piano is 16 feet. What are all the possible dimensions of the piano, using onl
    10·1 answer
  • Select the word that means a refusal to buy or use something in order to bring about change.
    5·1 answer
  • Analyze this data, and match each percentage to the description it represents. Round your answers to the nearest whole number. 3
    9·1 answer
  • What is the sum f 1.57 and 6.88
    14·2 answers
  • L(x) = 2|3 – 2x| +6; find l(5)
    8·1 answer
  • –2z − 7 need this done now
    7·1 answer
  • A vector in standard position has its terminal point at (–10, –4). What is the approximate direction angle of the vector?
    10·2 answers
  • Math is hard plz help
    11·2 answers
  • PLEASE HELP! I WILL GIVE YOU BRAINLIEST! Peter walked around a park three times. How many miles did he walk?
    6·1 answer
  • Esi says that the value of z when z^2 = 80 does not belong in either of these categories since z must be greater than 8.
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!