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.

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.