Algebra equations, word problems, and graphs (see attachment)
1. solve the following system of equations:
x + 3y = 2
x = 6 - 3y

2. Determine the slope of the line shown in the right

3. Trains A and B are traveling in the same direction on parallel tracks. Train A is traveling at 60 miles per hour and train B is traveling at 80 miles per hour. Train A passes a station 6:20 A.M. If train B passes the same station at 6:32 A.M. at what time will train B catch up to train A?

4. Solve the system of equations by graphing. Then classify the system as consistent or inconsistent and as dependent or independent.
8x - 6y = 36
6y - 8x = -36
What is the solution of the system of equations? A. A point, B. No solution, C. Infinitely many solutions

5. Find the indicated outputs for f(x) =3x^2 - 2x. f(0), f(-1), f(2)

6. Solve the inequality using the addition and multiplication principles: 8x + 8x < 48

7. Use the intercepts to graph the equations: x + 2y = 4
8. Find the domain of the function: g(x) = 10/(8 - 5x)
9. Multiply -3/4 * (4/1)
10. Amy paid $78.89 for a pair of running shoes during a 35% off sale. What was the regular price?

The solution is comprised of detailed explanations to a set of basic algebra questions, such as solving system of linear equations, finding the domain of the function, graphing the line using intercepts, etc.

Equations of Lines and Solving Systems of Linear Equations ( Simultaneous Equations ). ... 4. Solve the system of equations using the substitution method. ...

... method 2. Solve applications of systems of linear equations The graphical method of solving equations, shown in ... is time-consuming to graph each system that you ...

Solving Systems of Linear Equations. Solve each step by graphing y = -2/3x 2x+3y = 5. Answer: ... Hence NO solution. Solve each system by substitution. ...

Linear Algebra and Solving Systems of Linear Equations. ... the solution of the y=2x+5 following system, if it ... 5. Use the substitution to solve the system and then ...

... substituting back the solution into the given system of equations... words comparing and contrasting all methods of solving systems of linear equations with two ...

... We do row-operations to get So, when , ie, k=3 the above system of equations has no solution. This shows how to construct linear systems with given ...

... This solution shows a comparison between the different methods of solving a system of linear simultaneous ...Systems of equations can be solved by graphing or ...

... Thanks for using BrainMass. Graphing and Solving Systems of Linear Equations are investigated. ...Solve the system by addition or substitution. ...

... ANSWERS Section 7.1 Solve the following systems by substitution. ... Section 7.2 Solve each system by addition ... and independent, since it has only one real solution. ...