Solve equations by grafting, substitution, addition method

Solve by graphing, indicate whether each system is independent, inconsistent, or dependent.
1. x + y = 5
x - y = -1

2. y = -x
y = -x + 3

Solve by substitution, indicate whether each system is independent, inconsistent, or dependent.
3. x - y = 3
3x - 2y = 3

4. 2x - y = 3
6x - 9 = 3y

Solve by the addition method, indicate whether each system is independent, inconsistent, or dependent.
5. -3x + y = 3
2x - 3y = 5

6. 5x - 3y= -20
3x + 2y = 7

Solve each system by the method of your choice. (indicate the method)
7. 3x - 2y = 8
x = -2y

8. 4y = -5x
5x + 8y = 20

Solve.
9. The royal python and the anaconda are the world's longest snakes. The maximum length for each of these snakes is implied by the following description:
Three royal pythons and two anacondas measure 161 feet. The royal python's length increased by triple the anaconda's length is 119 feet. Find the maximum length for each snake.

10. A restaurant purchased eight tablecloths and five napkins for $106. A week later, a tablecloth and six napkins were bought for $24. Find the cost of one tablecloth and one napkin; assuming the same prices for both purchases.

*****Bonus***** (worth ΒΌ point)
Q. Which weighs more: a pound of feathers or a pound or bricks?

Solution Summary

The solution uses all the methods of solving equations with very good explanations which are easy to understand.

Solve each system by substitution. Determine whether the equations are independent, dependent, or inconsistent.
36.y =-3x+19
y = 2x-1
38. y = -4x-7
y =3x
42. y = x+4
3y-5x = 6
56. 2x- y = 6
2x - y = 3
Solve each system by the substitution method.
70. x + 3y =2
-x + y =1
Solv

Solve each step by graphing
y = -2/3x
2x+3y = 5
Answer:
Solve each system by substitution. Determine whether the equations are independent, dependent or inconsistent
x= y + 3
3x - 2y =4
Answer:
Solve each system by substitution. Determine whether the equations are independent, dependent or inconsistent
2x -

Solve the following systems by substitution. Determine whether the equations are independent, dependent or inconsistent
36. y = -3x + 19
y = 2x - 1
38. 4 = -4x - 7
y = 3x
42. y = x + 4
3y - 5x = 6
56. 2x - y = 4
2y = 4x - 6
70. x + 3y = 2
-x + y = 1
Section 7.2
Solve each system by addition.
8. x + y

1. (Solve system by the substitution method. Determine whether the equations are independent, dependent or inconsistent.)
2x - y = 3
2y = 4x - 6
2. (Solve system by the substitution method. Determine whether the equations are independent, dependent or inconsistent.)
y = 3(x - 4)
3x - y = 12
3. (Solve sy

Please assist to understand the difference in these different methods. Please show work so I can follow the solution.
Determine if the given ordered pair is a solution to the system:
12. 2x + y = 5 (4, -3)
x - y = 1
22. 4x - y = -2 (-1, -2)
3x + y = -5
Solve each system of equations by the graphing method:

Please discuss the following:
- Explain why vectors QR and RQ are not equivalent.
- Explain when the elimination method for solving a system of equations is preferable to the substitution method. Give examples.

Graph the following systems:
Solve each system by substitution method. Determine whether the equations are independent, dependent, or inconsistent
Solve each system by the additionmethod.
[See the attached question file.]