PLEASE HELP!!:)))))

1.Explain what it means when a system has one solution. Give at least three equations to creaite this system. Show by any method why your equations represent a system with one solution.

2.Solve the system of equations by Substitution. Show ALL your work.

4x² + y² = 4

y = x + 2

3. (06.01)

Solve the following system of equations and select the correct answer below:

3x + 3y + 2z = 5

x + y + 3z = 4

3x y + 5z = 8 (6 points)

A.	(1, 0, 1)
B.	(1, 0, 1)
C.	(1, 0, 1)
D.	(1, 0, 1)

4.Solve the system of equations by graphing and check your answer by substituting back into both the equations.

y = x 7

2x y = 15

5.(06.03)

How can x 5 = x + 2 be set up as a system of equations? (6 points)

6.Solve the system of equations by ELIMINATION. Check your answer by substituting back into the equation and show it is true. Leave your answer as a fraction.

4x + 5y = 6

6x 7y = 20

7. (06.03)

Choose the system of equations that matches the following graph:

(6 points)

A.	3x + 7y = 7 5x + 7y = 63
B.	3x + 7y = 7 5x 7y = 63
C.	3x 7y = 7 5x + 7y = 63
D.	3x 7y = 7 5x 7y = 63

8.(06.05)

Which graph correctly solves the system of equations below?

y = x² 1

y = 2x² 4 (6 points)

9.

Solve the system of equations any way you wish. Show all your work.

(x+2)² + (y2)² = 1

y = (x+2)² + 3

10.

(06.05)

Terri is analyzing a circle, y² + x² = 36, and a linear function g(x). Will they intersect? Explain why or why not. What is the intersection point if it exists?

y² + x² = 36

g(x)

x	g(x)
4	4
2	2
2	2