Solving Systems of Equations - Review

What is the best method to use to solve this system?

2x − 3y = −1

y = x − 1

• Graphing, because the equations are in slope-intercept form.

• Substitution, because a variable is defined.

• Elimination, because the equations are in standard form.

What is the best method to use to solve this system?

y = 6x − 11

−2x − 3y = −7

• Graphing, because the equations are in slope-intercept form.

• Substitution because a variable is defined

• Elimination because both equations are in standard form.

What is the best method to use to solve this system?

−4x − 2y = −12

4x + 8y = −24

• Graphing, because both equations are in slope-intercept form.

• Substitution, because a variable is defined.

• Elimination, because the equations are in standard form.

What is the best method to use to solve this system?

y = -3x + 5
y = 4x + 2

• Graphing, because both equations are in slope-intercept form.

• Substitution, because a variable is defined.

• Elimination, because the equations are in standard form.

What is the best method to use to solve this system?

4x + 8y = 20

−4x + 2y = −30

• Graphing, because both equations are in slope-intercept form.

• Substitution, because a variable is defined.

• Elimination, because the equations are in standard form.

You graphed two lines in order to find the solution to a given system of equations. What is the solution?

• (-3,-8)

• (-8,-3)

• (3,-8)

• (8,3)

^{Based on the graph, what is the solution to the system of equations?}

• (1, 1)

• (1, -2)

• (1, 2)

• (1, -1)

Solve the following system by graphing. What is the solution?

• Infinite number of solutions

• (3, 3)

• (3, -3)

• (-3, 3)

The solution (x, y) to a system of equations is the point where the two lines...?

• Run off the graph

• Don't touch

• Intersect

• Exist

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

• Parallel lines

• the same line

• Intersecting lines