Answer the question.Consider the equation 5(-3 - x) + x = 14x - 5(3 - x). Now consider the following system of equations solvable by the substitution method: y = 5(-3 - x) + x y = 14x - 5(3 - x).Explain the connections that exist between the single equation and the system of two equations.
What will be an ideal response?
Answers may vary. One possibility: The left and right sides of the single equation are identical to the two right sides of the equations in the system. The single equation yields a solution of x = 0. Simply substitute this value of x in either of the equations of the system to determine that y = -15.
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Solve the problem.Find the centroid of the region cut from the first quadrant by the line 
.
A. 
= 
, 
= 
B. 
= 2, 
= 2
C. 
= 4, 
= 4
D. 
= 
, 
= 
Graph the line y = mx + b for the given values.m = - 
, b = 3
A. 
B. 
C. 
D. 
Classify the triangle as equilateral, isosceles, or scalene. Then classify it as right, obtuse, or acute.
A. Isosceles; obtuse B. Scalene; acute C. Scalene; right D. Equilateral; acute
Provide an appropriate response.The process of amortization includes which of the following?
A. a specific length of time B. equal payments C. variable rates D. both equal payments and a specific length of time