Lesson: Solutions to Systems of Equations

Multiple Choice

Do you have your phone in the box, notebook out, and ready to take notes? ​

(you will need to take a picture and upload it at the end)

• YES I have my notebook out

• No, I know it means a bad grade

Solutions to Systems of Equations

Objective: Identify solutions to systems of equations.

Multiple Choice

WARM-UP: Which point is a solution to the equation?

$$y=2x-1$$  

• (-1, -3)

• (2, -3)

• (-3, 5)

​WARM-UP explained

​y = 2x - 1 is graphed

​(-1, -3) was the answer

​

It is an answer,

it makes the equation true.

​

It is an answer,

it is ON THE LINE.

Open Ended

A System of Equations is simply MORE THAN ONE equation on a graph.

Given the last problem we did, what do you thing the SOLUTION to the System of Equations graphed would be?

​EXAMPLE with a System of Equations

​(a System of Equations is just more than one equation)

​RED LINE

​BLUE LINE

​What point do you think works for BOTH equations?

​EXAMPLE

​Which ordered pair satisfies the equations?

3x + 2y = 16 and y = -7x + 19​

​A (4,2)

B (2,5)​

Multiple Choice

What is the solution to the system?

y = 5x and 3x + y = 24

• (15, 3)

• (3, 5)

• (3, 15)

• (5, 3)

Multiple Choice

What is the solution to the system?

$$x+2y=-4$$ and $$y=\frac{1}{2}x-4$$

• (2,5)

• (2,-3)

• (2,-2)

• (-3,2)