Systems of Equations/Inequalities

The solution to a system of equations is the​ (a)   . In a linear system, there can be only ​ (b)   answer that is correct for two lines that have different slopes.

Examine the graph. What is the solution to the system written as a coordinate pair?

(a)  

What is the solution to the systems of equations shown in the graph? (a)  

Warm Up!

After converting from standard form to slope-intercept form, what will the following equation look like?

$$4x+2y=6$$  

After converting the following equation from standard form to slope intercept form, what will the following equation be?

$$3x-6y=12$$  

(Don't type in any spaces)

(a)  

When would we get "infinitely many solutions" to a system of equations?

When will we get "no solutions" from a system of equations?

Match the following graphs to the systems of equations

Match the inequality with the number line

Match the inequality with the number line