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.

... An ordered pair (a,b), that is x = a; y = b is a solution of the system of equations f(x,y) and g(x,y) if that particular value of x=a and y=b satisfy both ...

...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. ...

... $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. ...

... the given system of lines has no solution, ie there ...equations in this case represents a pair of parallel ... given system of lines has infinite solutions, ie there ...

... 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. ...