Elimination by Addition and Subtraction

Solve the system of Equation (x,y)
–2x + y = 10
4x – y = –14  

• (1,5)

• (6,2)

• (-2,6)

• (4,6)

Solve the system of Equation (x,y)
3x + y = –21
x + y = –5  

• (-3,8)

• (8,-3)

• (3,-8)

• (-8,3)

Solve the system of Equation (x,y)

x + 4y = –3

x + 7y = –12

• (-3,9)

• (9,-3)

• (3,9)

• (9,3)

x-y=11
2x+y=19

• (10,-1)

• (-1,10)

• (3,-4)

• (6,7)

x-y=11

2x+y=19

• (10,-1)

• (-1,10)

Which method would be best for solving the system shown? 3x+y=10 x-y=5

• Substitution

• Elimination by addition

• Elimination by subtraction

Which method would be best for solving the system shown? 9x - 4y = 12 9x + y = 1

• Substitution

• Elimination by addition

• Elimination by subtraction

If a system of linear equations has one solution, what does this mean about the two lines?

• Parallel lines

• the same line

• Intersecting lines

Adding or subtracting equations in a system to get rid of one of the variables

• System of Equations

• Elimination

• Intersection

• Substitution

When the equations share a variable that has opposite coefficients (like 6x and -6x), the method that would most likely be easiest to use to solve would be

• Graphing

• Substitution

• Elimination by Addition

• Elimination by Subtraction