Systems of Equations 1

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)  

What is a solution to a system of linear equations?

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

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

The first step of solving a system of linear equations is putting the equations in (a)   -intercept form

The second step to solving a system of linear equations is to graph the (a)   -intercept and use slope to create the line. We do this for both equations.

The third step is to identify the point where the lines intersect aka the (a)  

Which of the following graphs would fit the system of equations?

$$y=2x-4$$  

$$y=-\frac{1}{2}x+1$$  

Which point satisfies both equations?

y - x = 2

y + 2x = 2