All categories

3 years ago

Without graphing, classify the system of equations as either consistent or inconsistent.

1 answer:

8 0

How you know if a system is consistent or inconsistent or dependent without graphing:

If a consistent system has a infinite number of solutions, it is dependent. When you graph the equation, both equations represent the same line. If a system has no solution, it is said to be inconsistent. If the graphs of the lines do not intersect, the graphs are parallel and there is no solution.

Hope this helps.

You might be interested in

Write each decimal number in words 9.2105

Olenka [21]

Nine point two one zero five

8 0

3 years ago

Solve for x, Round to the nearest thenth. x,9.2,16.5

Liono4ka [1.6K]

X= 1.9

Steps:

16.5-9.2=7.3

9.2-7.3=1.9

7 0

3 years ago

Population of Summerville is currently 20 hundred people. Write a formula if It grows at a constant rate of 1.5 hundred people p

Talja [164]

Answer:

The answer is 30 I just did this

Step-by-step explanation:

Follow me and thank me plz

5 0

4 years ago

Graph the function.

Paha777 [63]

Answer:

10 8 6 4 2 hope that helps

7 0

3 years ago

Solve the system of equation 2x + y = -4 and 5x – 3y = 1 by the method of elimination

Radda [10]

Step-by-step explanation:

first step while implementing the elimination method is to look at the numbers which can be multiplied to which in order to have like terms as solved below

as you can see in equation number 2 that the number three can be multiplied with equation 1 in order to have like terms so you can cancel them out

so , multiply 3 with the whole of equation 1

3( 2x + y = -4 )

= 6x + 3y = -12

( keep in mind the sign of the number)

5x -3 y = 1

now ,

we have

6x + 3y = -12

5x -3y = 1

as you can see that now we have like terms and when we add both these equations the like terms cancel out each other as they have opposite signs ( + - gives you - )

so , once you add the like terms this is what you will get

6x + 5x +3y-3y -12+1

= 11x + 0 - 11

then you can simplify this further for x first

11x = 11

x = 11/11

x = 1

now we have the value of x let's simply further for y

let's take equation 2

5(1) - 3y =1

5 -3y = 1

5-1 = 3y

4 = 3y

4/3 = y 

to confirm your values you can put these values in one of the two equations given initially , let's use equation two to check .

5x-3y = 1

( now let's place the values of x and y into the equation and see if our answer is 1 )

5 (1) - 3 (4/3)

= 5 - 4

= 1

it is correct

7 0

3 years ago