Which ordered pair is the best estimate for the solution of the system of equations?
y=32x+6
y=14x−2

a(−6, −3)

b(−6.5, −3.5)

c(−7, −4)

d(−7, −3.5)

B. (−6.5, −3.5)

Step-by-step explanation:

We have been given a system of equations and its graph and we are asked to choose the correct option that represents the solution of our given system.

We will use substitution method to solve our given system of equations.

Let us equate both equations to find the value of x.

Let us have common denominator.

Upon substituting in equation (1) we will get,

We can also see from our given graph that at point (-6.5,-3.5) both lines intersect, therefore, the best estimate for our given system of equations is point (-6.5,-3.5) and option B is the correct choice.

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x