Practice 1.) Solve for y : 4x + 2y = -8 2.) Solve for y: 3x – 5y = 10 3.) Graph the equation: 3x – 2y = 5 x y O

Solving Systems of 2 linear equations by graphing Write each equation in slope intercept form. Graph each line. Find the point where they intersect.

8x-y=8 3x + 2y = -16 -y = -8x+8 2y = -3x – 16 y=8x -8 y=-3/2x-8 4x-5y=0 3x-5y=-5 -5y=-4x -5y=-3x-5 y=4/5x y=3/5x+1 3x+2y = -4 3x + 2y = 2 2y=-3x-4 2y= -3x + 2 y=-3/2x -2 y=-3/2x x -3x ÷-1 ÷-1 ÷-1 ÷2 ÷2 ÷2 (0,-8) -4x -3x ÷-5 ÷-5 ÷-5 ÷-5 ÷-5 (5,4) -3x ÷2 ÷2 ÷2 No Sol.

There are 2 ways to do this on the calculator. You can graph them both and then make sure they intersect on the screen. Then press 2 nd trace(calculate) then press 5 (intersect) followed by enter 3 times and the x and y values of the point of intersection will appear at the bottom of the screen. The other way is to graph both equations then press 2 nd graph(table) and you will see 3 columns x y1 and y2 this is telling you all the points for the 2 equations using the x. you want to find the one where the y is the same and then that y with the x that makes them the same is your point of intersection.

There are 3 possible ways for system of equations to be graphed. Therefore, there are 3 types of solutions. The 2 line intersect in one point. One solution Consistent and independent The 2 lines are parallel and never intersect No solutions Inconsistent The 2 lines are the same and always intersect Infinite solutions Consistent and dependent

You try these Solve each system by graphing or using a table. classify each system as independent, dependent, or inconsistent Check your answers.