Solutions by Addition

x - 2y = 3 5x + 3y = 2 The lines whose equations are shown intersect at

(1, -1)

3x + y = 4 x - 2y = 3 The solution to the system of equations shown is

(11/7, -5/7)

Solve the system by the elimination method. Check your work. 2a + 3b = 6 5a + 2b - 4 = 0 Make sure there are NO SPACES in your answer. Include a comma in your answer.

0,2

x + y = k 2x + 3y = k + 1 The point of intersection of the lines has an x-coordinate of

2k - 1

Solve the system by the elimination method. x + y - 6 = 0 x - y - 8 = 0 When you eliminate y , what is the resulting equation?

2x = 14

Solve the system by the elimination method. 3x - 2y - 7 = 0 5x + y - 3 = 0 To eliminate y, the LCM is 2. Which of the following is the resulting equations?

3x - 2y - 7 = 0 10x + 2y - 6 = 0

1.) 2x + y = 3 2.) x - 2y = -1 If equation 1 is multiplied by 2 and then the equations are added, the result is

3x = 5

Solve the system by the elimination method. 2x + 3y - 10 = 0 4x - 3y - 2 = 0 When you eliminate y, what is the resulting equation?

6x = 12 (guessed)

3x + 2y = A 5x + y = B Eliminating the variable y from the system of equations results in -7x =

A - 2B

In two or more complete sentences, describe a system of equations in which subtraction would be the most efficient way of solving the system.

a system of equations in which subtraction would be the most efficient way of solving the system is: A system of equations in which one of the variables has exactly the same coefficient in both equations.

5x + 2y = 6 3x + y = 4 Which of the following is part of the solution to the system of equations?

y = -2

Solve the system by the elimination method. Check your work. R - 9S = 2 3R - 3S = -10

{(-4, -2/3)}

Solve the system by the elimination method. Check your work. x - 3y = 0 3y - 6 = 2x

{(-6, -2)}

Solve the system by the elimination method. Check your work. 3a + 5b - 7 = 0 a - 2b - 4 = 0

{(34/11, -5/11)}

x - y = 0 6x + 5y = -22 The lines intersect at

(2, 2)

2x+y=1 9x + 3y = -3 The x-coordinate of the point of intersection is

-2

Solve the system by the elimination method. -2x + y + 6 = 0 2x + y - 8 = 0 When you eliminate x, what is the resulting equation?

2y = 2

Solve the system by the elimination method. 2x + y - 4 = 0 2x - y - 4 = 0 When you eliminate y, what is the resulting equation?

4x = -8