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The graph that correctly represents the given system of equations is graph , and the solution to the system is ( ,

what graph would it be, doing this on plato rn.

The Graph That Correctly Represents The Given System Of Equations Is Graph And The Solution To The System Is What Graph Would It Be Doing This On Plato Rn class=

Sagot :

varshamittal029

The question was incomplete. Below you will find the missing content.

Use the system of equations and graphs below to complete the sentence.

x - 2y = 5

3x + 15y = -6

The graph that correctly represents the given system of equations is a graph ( ), and the solution to the system is ( , ).

The correct option will be Option B: Graph B and the solution of the given system of equations will be (3,-1).

Given the first equation is x-2y=5

in this equation of line, the x-coordinate is:

x-(2.0)=5

⇒ x=5

The x-coordinate will be (5,0).

in this equation of line, the y-coordinate is:

0- 2y=5

⇒y= -5/2

The y-coordinate will be (0,-5/2).

So the first line equation has x-coordinate (5,0) and y-coordinate (0,-5/2).

Similarly,

Given the second equation is 3x+15y=-6

in this equation of line, the x-coordinate is:

3x+(15.0)=-6

⇒ x=6/3=2

The x-coordinate will be (2,0).

in this equation of line, the y-coordinate is:

(3.0)+15y=-6

⇒y= -6/15= -2/5

The y-coordinate will be (0,-2/5).

So the second line equation has x-coordinate (2,0) and y-coordinate (0,-2/5).

Equation-1: x - 2y = 5

⇒x =2y+5

putting the value of x in equation-2

3x + 15y = -6

⇒ 3(2y+5)+15y=-6

⇒6y+15+15y=-6

⇒21y=-6-15=-21

⇒y=-21/21=-1

putting the value of y in equation of x

x= 2(-1)+5= -2+5= 3

The solution of system of equations will be (3,-1)

Checking all the options

In option B one line has  x-coordinate (5,0) and y-coordinate (0,-5/2) and another line has x-coordinate (2,0) and y-coordinate (0,-2/5).

And the point of intersection of two lines is (3,-1).

Therefore the correct option will be Option B: Graph B and the solution of the given system of equations will be (3,-1).

Learn more about the system of equations

here: https://brainly.com/question/14323743

#SPJ10

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