Introduction to Systems of Equations

Intro to systems of equations

with Ms. Orzolek

Multiple Choice

Warm up: where is the solution to a systems of equations located?

• at the start of the steepest line

• where the lines cross

• where the the graph is the biggest

• anywhere on the graph

​notes

​System of Equations – a set of equations with the same variables (two or more equations graphed in the same coordinate plane)

​

Solution of the system – an ordered pair that is a solution to all equations is a solution to the equation.

a. one solution

b. no solution

c. an infinite number of solutions

Multiple Choice

what is the solution? (Page 138)

• (0,0)

• (0,5)

• (2,6)

• (6,2)

Multiple Choice

Which coordinate is the solution?

Page 139

• (0,4)

• (4,0)

• (0,-4)

• (4,-4)

Fill in the Blanks

Graph these lines on desmos:

y=4x

y=x-6

what is the x value (first value)?

​Tables

​If you see aproblem with two tables you must find the same point on both table for example the tables below both have the point (3,6) so that is the solution

Multiple Choice

Graph the following equations on desmos:

y=2x

y=1/2x -3

what is the solution?

• (-2,4)

• (-2,-4)

• (2,14)

• (2,-4)

Multiple Choice

Graph the following equations on desmos:

y= $$\frac{3}{2}$$  x

y=3x+5

what is the solution?

• (1,8)

• $$\frac{2}{3}$$  ,7

• (-2,1)

• (-4,-7)

​Great job!!

​Please continue working on the assigned Iready lessons!