Systems With Two Equations in Slope Intercept Form

These two lines intersect at _____

• (4, -2)

• (4, 2)

• (-2, 4) 

• No solution

Tags

CCSS.8.EE.C.8B

What is the correct first step in solving this system by substitution?

• -7(2y+11) - 2y = -13

• -7x -2(2y +11) = -13

• 2y+11-2y = -13

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the best method to use?

y = −3x + 5

y = x -1

• Graphing, because they are both in slope-intercept form

• Substitution because a variable is isolated (solved for)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

The equations are exactly the same. (SAME slope AND SAME y-intercept). The lines intersect at EVERY point.​ ​

• Infinitely Many Solutions

• No Solution

• One Solution

Tags

CCSS.8.EE.C.8B

A system of equations in which the equations have DIFFERENT slopes and intersect at ONE point.

• One Solution

• Infinitely Many Solutions

• No Solution

Tags

CCSS.8.EE.C.8B

A method of solving a system of equations by replacing one variable with an equivalent expression containing the other variable.

• Substitution Method

• Elimination Method

• Point of Intersection

• System of Linear Equations

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is a point of intersection?

• 
  a set of 2 or more linear equations

• lines in the same coordinate plane that NEVER intersect

• a coordinate point that satisfies all equations in the system; the point where the lines INTERSECT

Tags

CCSS.8.EE.C.8A