Rounded 30,000 to smallest and the largest n

1. What is the solution of the system?

andreyandreev [35.5K]

Answer:

The given system of equations has solutions below:

1) The solution is (2,3)

2) The solution is ( $\frac{-8}{7}, \frac{5}{7}$ )

3) The solution is infinitely many solutions

4) No solution

Step-by-step explanation:

Given system of equation are

$-x+2y=4\hfill (1)$

$-4x+y=-5\hfill (2)$

To solve equation by using elimination method

Multiply eqn (2) into 2

$-8x+2y=-10\hfill (3)$

Now subtracting (1) and (3)

$-x+2y=4$

$-8x+2y=-10$

_________________

7x=14

x= $\frac{14}{7}$

$x=2$

Substitute x=2 in equation (1)

-2+2y=4

2y=4+2

$y=\frac{6}{2}$

y=3

Therefore the solution is (2,3)

2) Given equation is

$-2x+y=3\hfill (1)$

4y-4=x

Rewritting as below

$x-4y=-4\hfill (2)$

To solve equation by using elimination method

multiply (2) into 2

$2x-8y=-8\hfill (3)$

Adding (1) and (3)

-2x+y=3

2x-8y=-8

________

-7y=-5

$y=\frac{5}{7}$

substitute $y=\frac{5}{7}$ in (1)

$-2x+\frac{5}{7}=3$

$-2x=3-\frac{5}{7}$

$-2x=\frac{21-5}{7}$

$x=-\frac{8}{7}$

Therefore the solution is ( $\frac{-8}{7},\frac{5}{7}$ )

3) Given equation is $6x+2y=10\hfill (1)$

$3x+y=5\hfill (2)$

equation (1) can be written as

2(3x+y)=10

$3x+y=\frac{10}{2}$

3x+y=5

Therefore equations (1) and (2) are same therefore it has infinitely many solutions

4) Given equation is $-x-2y=14\hfill (1)$

$-2x-4y=12\hfill (2)$

multiply equation (1) into 2

$-2x-4y=28\hfill (3)$

To solve equation by using elimination method

subtracting (2) and (3)

-2x-4y=28

-2x-4y=12

_______

$28\neq -12$

therefore it has no solution

4 0

2 years ago

Help<br> Pls. Due 10/4/18<br> Thank you❤️

mart [117]

The change in elevation is -15 meters

3 0

3 years ago

Read 2 more answers

Object A has 50 kg while Object B has 75 kg. They were pushed with the same amount of force. Which will have greater acceleratio

raketka [301]

Answer:

Object A will have greater acceleration.

Step-by-step explanation:

Given that,

The mass of object A = 50 kg

The mass of object B = 75 kg

They were pushed with the same amount of force.

We know that, the force acting on an object is given by :

F = ma

Here F is same for both mass

$m_1a_1=m_2a_2$

Mass and acceleration have inverse relation. It means the object whose mass is less will have greater acceleration. Hence, the acceleration is greater for object A.

3 0

2 years ago

Use elimination to solve 3x-2y=24 x+2y=48

MakcuM [25]

Answer:

X= 18; Y=15

Step-by-step explanation:

As a student myself working this out I cannot explain how I got the answer but I know it is correct.

5 0

3 years ago

If a bloodstain has a length of 3.0cm and a width of 1.5cm what is the angle of impact?

zalisa [80]

The angle of impact is 30°

<h3>What is the angle of impact?</h3>

In a bloodstain, the angle of impact can be used to determine the appearance of the resulting bloodstain if the bloodstain has a tail or pattern.

Bloodstain pattern analysis is the study of bloodstains at a scene of the crime in an attempt to reconstruct the events that resulted in the bloodshed.

Mathematically;

$\mathbf{Angle \ of \ impact = sin^{-1} (\dfrac{width \ stain}{length \ stain} )}$

$\mathbf{Angle \ of \ impact = sin^{-1} (\dfrac{1.5}{3.0} )}$

$\mathbf{Angle \ of \ impact = 30 ^0}$

Learn more about the angle of impact here:
brainly.com/question/19423063

6 0

2 years ago