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3 years ago

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:

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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!! :)

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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:

#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

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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:

Step-by-step explanation:

-1.5x=-2.55

1.5x=2.55

x=2.55/1.5

x=1.7

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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

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

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