System of Equations Solve Addition and Subtraction

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

When the equations share a variable that has the same coefficients (like 4x and 4x), the method that would most likely be easiest to use to solve would be

• Graphing

• Substitution

• Elimination by Addition

• Elimination by Subtraction

When you are graphing a linear system of equations, and your lines intersect at a single point, that means

• You have no solution

• You have infinite solutions

• You have a single solution

• You did something wrong, go back and try again

When you are graphing a linear system of equations, and your lines are parallel to each other, that means

• You have no solution

• You have infinite solutions

• You have a single solution

• You did something wrong, go back and try again

Here is a system of linear equations: 6x-y=18 4x+2y=26 Select ALL the steps that would help to eliminate a variable and enable solving.

• Multiply the first equation by 2, then subtract the second equation from the result.

• Multiply the first equation by 4, the second equation by 6, then subtract the resulting equations.

• Multiply the first equation by 2, then add the result to the second equation.

• Divide the second equation by 2, then add the result to the first equation.

• Multiply the second equation by 6, then subtract the result from the first equation.

PAGE 133 #1: What is the x-value of the solution to the system?

How many solutions does this system of equations have?

• One Solution

• Infinitely Many Solutions

• No Solution

Here is a system of equations

-x+6y=9

x+6y=-3

Should you use subtraction or addition to solve the system?

• Addition to eliminate the x variable, then solve for y.

• Subtraction to eliminate the y variable, then solve for x.

• Both addition and subtraction would work depending on which variable you want to eliminate.

PAGE 135: Solve each system of equations without graphing.

2v+6w=-36

5v+2w=1

What is the w-value of the solution?

PAGE 135: Solve each system of equations without graphing.

B.

6t-9u=10

2t+3u=4

What is the solution to the system?

• (4,-9)

• (-2,5)

• (11/6, 1,9)

• I don't know. I did not complete my workbook pages for homework.

• (1/2, 4/5)