How many solutions can be found for the system of linear equations represented on the graph? a) no solution b) one solution c) two solutions d) infinitely many solutions

B) one solution.

Step-by-step explanation:

By the given diagram,

There are two non parallel straight lines represented by red color and green color.

Also, there is an intersection point of these two lines.

Since, an intersection point of two lines shows the solution of the system of the lines.

⇒ The system of linear equation represented on the graph has only one solution.

⇒ Option B is correct.

Hello from MrBillDoesMath!  

B) one solution

Discussion:

The lines intersect at 1 point (the red dot) and that point is the solution to the system of linear equations.

Thank you,

MrB

b

2

−

b

b

3

+

7

b

2

+

14

b

+

6

%

−

3

b

3

+

7

b

2

+

14

b

+

6

%

step-by-step explanation:

system of linear equation

step-by-step explanation:

as given in the data

a= 20 , b= -12

let us suppose that it is a straight line equation

now we know the formula for the system of linear equation

b= ma + c )

here m is slope of a straight line which is equal to formula

m=   (ii)

and here c is a constant

now putting the value of a and b in equation (ii)

m=

m=

putting the value of a,b and m in equation (i) gives us

-12 = + c

-12=-12 + c

adding 12 to both sides

-12 +12 = -12 +12 +c

0 =c

or c=0

as the value of the constant is zero which gives us that it is a linear equation and this order pair satisfies the system of linear equations.