Solve equations by grafting-substitution-addition method


Solve by graphing, indicate whether each system is independent, inconsistent, or dependent.

Question 1.    x + y = 5
                    x - y = -1

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

Solve by substitution, indicate whether each system is independent, inconsistent, or dependent.

Question 3.    x - y = 3
                   3x - 2y = 3

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

Solve by the addition method, indicate whether each system is independent, inconsistent, or dependent.

Question 5.    -3x + y = 3
                     2x - 3y = 5

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

Solve each system by the method of your choice. (indicate the method)

Question 7.    3x - 2y = 8
                     x = -2y

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

Solve.

Question 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.

Question 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.

Question 11: Which weighs more: a pound of feathers or a pound or bricks?

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Accounting Basics: Solve equations by grafting-substitution-addition method
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