Systems of Equations: Graphing & Substitution Method

Presentation

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Mathematics

•

8th - 9th Grade

•

Practice Problem

•

Medium

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CCSS

8.EE.C.8B, 8.EE.C.8A, 8.F.B.4

Standards-aligned

Beth Pounds

Used 210+ times

FREE Resource

8 Slides • 8 Questions

Systems of Equations: Graphing & Substitution Method

Types of Solutions

One Solution
No Solution
Infinite Solutions

Multiple Choice

What is the solution?

(Hint: Both lines are graphed over each other)

One Solution

No solution

Infinitely Many Solutions

Multiple Choice

How many solutions does the graph have?

One solution

No solution

Infinite solutions

Multiple Choice

How many Solutions?

One Solution

No solution

Infinitely Many Solutions

(0, -1)

Writing equations of lines from a graph

Slope intercept form - y=mx+b
M = Slope RISE/RUN
Rise - Up and Down
Run - Right or Left
b = y intercept

Multiple Choice

Write the equation for the given line.

y = mx + b

y = 2/3x + 5

y = -2/3x + 5

y = 5x + 2/3

y = -5x - 2/3

Solve by GRAPHING

Graph using y = mx + b.

FIND the POINT OF INTERSECTION!

Multiple Choice

What is the solution to this system?

(3,1)

No solution

Infinite solutions

(1,3)

Standard Form - to - Slope Intercept Form

What is the

slope-intercept form

of the equation

-8x+2y=4

Add 8x to both sides

Divide both sides by 2 (coefficient of y)

Fill in the Blanks

Write 2x + 4y = 12 in slope intercept form. Leave slope in fraction form. REMEMBER: "Add or subtract the x-term, Divide by the coefficient of y!"

Type answer...

Solve by SUBSTITUTION

Use your EQUATION solving skills!
Take it STEP-BY-STEP
You CAN do this!

Multiple Choice

Solve:

y=8x+1

y=6x+3

(1, 9)

(4, 14)

(0, 1)

(2, 4)

Multiple Choice

Solve the following systems of equations using substitution:

y = 8

y = -4x + 4

(8, -1)

(-28, 8)

(-1, 8)

(8, -28)

Solving equations with Substitutions

Solve using substitution:
y = -6x + 5
-2x + y = 5
1. Substitute (-6x + 5) for y in the second equation; -2x-6x+5=5
2. Solve second equation for x; -8x+5=5, -8x=0, x=0

3. Substitute the new x value(0) into the first equation; y=-6(0)+5, y=0+5, y=5
4. Solution is (0,5)

Next Steps

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Systems of Equations: Graphing & Substitution Method

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