Hello, I am learning algebra 2. I have no help and the textbook gives very few and vague examples. Can someone help me with my algebra 2 work.

1.Find all solutions for the following system of equations. List the solutions as ordered pairs. {x^2+y^2-25 = 0
2x-y = -5

2.Solve the system of linear equations.(Use Calculator )
2x+y+z=4
-x+2y+z=3
9x+2y+3z=13

3.Solve the system of linear equations using matrices (Use Calculator )
x-3y-5z = -30
4x+4y+z = -31
6x-3y+6z = -15

4. Find the point of equilibrium of the given demand and supply equations. (Hint: The point of equilibrium is the price p and the number of units x that satisfy both the demand and the supply equations.)

Demand: p = 65 - 0.05x
Supply: p = 0.05x + 10

Solution Preview

1. solving for y = 2x+ 5 and substituting into the first equation we obtain

x^2 + 4x^2 + 25 + 20x - 25 = 0

5x^2 + 20 x = 0

x^2 + ...

Solution Summary

The expert examines pair solutions in systems of equations. Linear equations using matrices are determined. Supply and demand is analyzed.

...solution, present it as an ordered pair: (x, y ... is "no solution" or "infinitely many solutions." 3x - 2y ... Please see the attached file for the complete solution. ...

... 5. Determine whether the lines through each pair of points ... Please see the attached file for the complete solution. ...Systems of Equations Word Problems are solved ...

... a) A point b) Infinitely many solutions c) No solution. ... 4. Decide whether the pair of lines is parallel, perpendicular, or neither. 5x+4y=9 4x+5y=5. ...

... of equations graphically you will get a pair of lines ... It is important to understand what the solution tells us ...system of equation is such a system where we ...

... $6.49 Answer: Price of shirt = $1.99 Price of pair of slacks ... 5. Solution: Let x be the number of discs which ... 62 Equation will be 2x+3y = 62 System of equations...

... 6. Graph the line containing the given pair of points and ... have a consistent and dependent system with infinitely many solutions. The solution set is given by. ...

... 3. x+y= -13 9x+y= -61 What is the solution of the system? 4. (1,2); 6x-5y= -4 2x-7y= -12 is the given ordered pair a solution of the system? yes or no. ...

... same line and you have an infinite number of solutions. ... We can check the solution by plugging in the ... Check the proposed ordered pair solution in BOTH equations...

... __I_____ (Type an ordered pair. Type an integer or a fraction. Type N if there is no solution. Type I if there are infinitely many solutions.). ...