Algebra 1 Common Core Student Edition, Grade 8-9

Concept Byte

Use W ith Lesson 6-1

Solving Systems Using

Tables and G raphs

Solve the system using a table.

Step 1

Enter the equations in the

m s c r e e n.

y= 3x - 7

y = - 0. 5 x + 7

Step 2

Use the 22^} function. Set

TblStart to 0 and ATbl to 1.

Pl ot l Pl ot 2 Pl o t 3 I

\Yie3X-7

i \ Y2 b-0.5X + 7

L. W 3 = 5\ Y4 = 0

1 \Ys = 1

1 \Y6 = 1

I \Y7 = 1

m

TABLE SETUP

Tb l St ar t = 0

A Tbl = 1

Indpnt :l3H 5iAsk

'lESBflAsk

1. W hich x-value gives th e sam e value for Yj and Y2?

2. W hat ordered pair is th e solution of the system?

Common Core State Standards

A-REI.D.11 Ex p l a i n w h y t h e x - c o o r d i n a t e s...

where the graphs of the equations y = f(x) and

y = g(x) intersect are the solutions of the equation

f{x) = g(x)... using technology to graph the

functions...

MP 5

MATHEMATICAL

PRACTICES

Step 3

Press to show th e table on

the screen.

wmmmX Yi y^2

1 -7-4^7 6.5

2-1 6

3 25.5

4 55

s 5I 6 84.5 11 4

|x= o

Solve the system using a graph. y = — 5x + 6

y = - x - 2

Step 1 Enter the eq u atio n s in the m screen.

Step 2 G raph th e equations. Use a s tan d ard graphing window.

Step 3 Use th e feature. C hoose INTERSECT to find th e p o in t w here the

lines intersect.

3. Copy an d com plete: The lines intersect at so this p o in t is the
   solution of the system.


4. How can you use the graph to find the solution of the equation — 5x + 6 = —x — 2?

Ex e r c i se s

Use a table and a graph to solve each system. Sketch your graph.

5. y = 5x - 3 6. y = 2x - 13
   y = 3 x + l y = x - 9


6. How can you use the graph of a system to find the solution of th e equation
   5x — 3 = 3x + 1?


7. 2x — y =i 1.5
   y= 1'5

3 7 0 Concept Byt e Solving Systems Using Tables and Graphs