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
Agata [3.3K]
3 years ago
13

Which properties justify the steps taken to solve the system 4x + 3y =25 2x + 5y=19 ​

Mathematics
1 answer:
defon3 years ago
7 0

Answer: we multiply the second equation by -2. This property is the multiplication property of equality (1).  

Then, we add the two equations generated. (2) addition property of inequality.

Next, we divide both sides of the equation by 13. That is division property of inequality.  

Moreover, we substitute the value obtained for y in the first equation. This is substitution property of equality.  

Then, we simplify

Next, we add +3 to both sides of the equation in order to have an equation with only one side having a variable. That is addition property of equality.  

Lastly, we divide both sides of the equation by 4. This is division property of equality.

Step-by-step explanation:

You might be interested in
T-6=8-t<br><br>how do solve? pls include steps
umka2103 [35]
First, add t to each side:
2t - 6 = 8
Add 6 to each side:
2t = 14
Divide both sides by 2:
t = 7

Hope this helps!! :)
8 0
3 years ago
Julio bought 4 pencils and 3 erasers for $0.37 and David paid $0.33 for 3 pencils and 4 erasers. What is the cost of one pencil?
grigory [225]

cost of pencil = x = 0.07

and cost of eraser = y = 0.03

Step-by-step explanation:

let cost of pencil = x

and cost of eraser = y

So, we have equations:

4x+3y=0.37\\3x+4y=0.33

Solving both equations to find value of x and y

Let:

4x+3y=0.37\,\,\,eq(1)\\3x+4y=0.33\,\,\,eq(2)

Multiply eq(1) with 4 and eq(2) with 3 and subtract

16x+12y=1.48\\9x+12y=0.99\\-\,\,\,-\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,-\\--------\\7x=0.49\\x=0.07

Putting value of x in equation 1:

4x+3y=0.37\\4(0.07)+3y=0.37\\0.28+3y=0.37\\3y=0.37-0.28\\3y=0.09\\y=0.03

So, x= 0.07 and  y = 0.03

cost of pencil = x = 0.07

and cost of eraser = y = 0.03

Keywords: System of equations

Learn more about system of equations at:

  • brainly.com/question/9045597
  • brainly.com/question/3739260
  • brainly.com/question/13168205

#learnwithBrainly

4 0
3 years ago
What is the anwser to 3(x-4)=12x
e-lub [12.9K]

Answer:

x=-4/3

Step-by-step explanation:

3x-12=12x

3x-12x=12

-9/-3=12/-3

then -3 cancels

3x/3=-4/3

then 3 cancels 3

so x=-4/3

5 0
3 years ago
Solve for x. −1.5x = −2.55 A) −1.5 B) 1.5 C) 1.7 D) 1.9
Liono4ka [1.6K]

Answer:

C

Step-by-step explanation:

-1.5x=-2.55

1.5x=2.55

x=2.55/1.5

x=1.7

8 0
3 years ago
Harold move no more than 43 of his sheep and goats into another field. fewer than 22 this animals are goats.
user100 [1]
A is the answer
I think
8 0
3 years ago
Other questions:
  • The Blakely family has driven 50 miles of a 200-mile trip. Their car travels 30 miles per gallon of gas. How many gallons of gas
    15·1 answer
  • X^2-5x=-4 . I need to find the zeroes
    7·1 answer
  • Two towns are 6 inches apart on a map. If the scale for this map is 1 inch equals 100 miles, how many miles apart are the two to
    12·1 answer
  • Help please!!!!!!!!!
    10·1 answer
  • Find the value of x for the given value of y. y=9−7x; y=37
    11·1 answer
  • The distance between the two points pictured is d= Vn
    5·1 answer
  • What comes next in the following pattern: 0,1, -2, 3, -4,5, -6, 7,-8, 9, -10, _
    14·1 answer
  • 1. Convert 9% into a decimal.
    9·1 answer
  • Use algebra to explain how you know that a rectangle with side lengths one less and one more than a square will always be 1 squa
    14·1 answer
  • Which system of equations has the solution (4,−2)?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!