Solving Systems of Equations by Graphing

Presentation

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Mathematics

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9th - 11th Grade

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Practice Problem

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Medium

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CCSS

8.EE.C.8B, 8.EE.C.8A

Standards-aligned

Alexis Montgomery

Used 122+ times

FREE Resource

4 Slides • 6 Questions

Solving Systems of Equations by Graphing

Students will solve systems of linear equations graphically and algebraically.

Systems of Equations Graphically

A system of equations is two or more equations with the same variables.
To solve a system of equations with two variables, find the ordered pair that SATISFIES all of the equations.

Multiple Choice

Determine if the solution $\left(3,\ -1\right)$ satisfies the system $2x-5y=11$
$-3x+4y=-13$

yes

Multiple Choice

Does the solution $\left(2,-3\right)$ satisfy the system $4x+3y=-17\ \ \ \ \ \ \ \ -7x-2y=20$

yes

Types of Solutions

Multiple Choice

How many types of solutions are there?

One

Two

Three

Multiple Choice

Which solution type has the same slope and the graphs are parallel?

One Solution

No Solution

Infinitely Many Solutions

Multiple Choice

Which solution type has the same slope and same y-intercept?

No Solution

One Solution

Infinitely Many Solutions

Multiple Choice

Which solution type has it where the graphs intersect at a single point?

Infinitely Many Solutions

One Solution

No Solution

Solving Systems of Equations by Graphing

Students will solve systems of linear equations graphically and algebraically.

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