Use a graphing calculator to solve each system of equations. 1. 2x + 4y =36. 10y â 5x = 0. SOLUTION: Write each equation in the form y = mx + b. Ent...

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2. 2y – 3x = 7 5x = 4y – 12 SOLUTION: Write each equation in the form y = mx + b.

Enter

graph the lines. KEYSTROKES: Y = ( 3

Enter

as Y1 and

as Y1 and

as Y2. Then

graph the lines. KEYSTROKES: Y = (−) 9 ENTER ZOOM 6

÷ 2 +

÷ 2 ENTER

as Y2. Then + 7

) ÷ 2 ENTER 5 ÷ 4 + 3 Find the intersection of the lines. KEYSTROKES: 2nd [CALC] 5 ENTER ENTER ENTER

Find the intersection of the lines. KEYSTROKES: 2nd [CALC] 5 ENTER ENTER ENTER

The solution is (−2, 0.5). ANSWER: (–2, 0.5)

3. 4x – 2y = 16 7x + 3y = 15

The solution is (9, 4.5). ANSWER: (9, 4.5)

SOLUTION: Write each equation in the form y = mx + b.

2. 2y – 3x = 7 5x = 4y – 12 SOLUTION: Write each equation in the form y = mx + b.

Enter

as Y1 and

Then graph the lines. KEYSTROKES: Y = 2 eSolutions Manual - Powered by Cognero

Enter

as Y1 and

as Y2. Then

as Y2. − 8

ENTER (−) 7 ÷ 3 + 5 Find the intersection of the lines.

Page 1

The solution is (−2, 0.5).

The solution is (3, −2).

ANSWER: ANSWER: Explore 3-1: Graphing Technology Lab Intersections of Graphs (–2, 0.5) (3, –2) 3. 4x – 2y = 16 7x + 3y = 15

4. 2x +4y = 4 x + 3y = 13

SOLUTION: Write each equation in the form y = mx + b.

SOLUTION: Write each equation in the form y = mx + b.

Enter

as Y1 and

Then graph the lines. KEYSTROKES: Y = 2

as Y2. − 8

ENTER (−) 7 ÷ 3 + 5 Find the intersection of the lines. KEYSTROKES: 2nd [CALC] 5 ENTER ENTER ENTER

Enter

as Y1 and

Then graph the lines. KEYSTROKES: Y = (−)

as Y2. ÷ 2 +

1 ENTER ( (−) + 1 3 ) ÷ 3 Find the intersection of the lines. KEYSTROKES: 2nd [CALC] 5 ENTER ENTER ENTER

The solution is (3, −2).

The solution is (−20, 11).

ANSWER: (3, –2)

ANSWER: (–20, 11)

4. 2x +4y = 4 x + 3y = 13 SOLUTION: Write each equation in the form y = mx + b.

5. 5x + y = 13 3x = 15 – 3y SOLUTION: Write each equation in the form y = mx + b.

Enter

as Y1 and

Then graph the lines. KEYSTROKES: Y = (−)

as Y2. ÷ 2 +

eSolutions Manual - Powered by Cognero 1 ENTER

( (−)

+ 1 3 ) ÷ 3

Enter as Y1 and Then graph the lines. KEYSTROKES: Y = (−) 5

as Y2. + 1

3 ENTER (−) + 5 Page 2 Find the intersection of the lines. KEYSTROKES: 2nd [CALC] 5 ENTER

The solution is (−20, 11).

The solution is (2, 3).

ANSWER: ANSWER: Explore 3-1: Graphing Technology Lab Intersections of Graphs (–20, 11) (2, 3) 5. 5x + y = 13 3x = 15 – 3y

6. 4y – 5 = 20 –3x 4x – 7y + 16 = 0

SOLUTION: Write each equation in the form y = mx + b.

SOLUTION: Write each equation in the form y = mx + b.

Enter as Y1 and Then graph the lines. KEYSTROKES: Y = (−) 5

as Y2.

+ 1

Enter

3 ENTER (−) + 5 Find the intersection of the lines. KEYSTROKES: 2nd [CALC] 5 ENTER ENTER ENTER

as Y2.

as Y1 and

Then graph the lines. KEYSTROKES: Y = ( (−) 3 + 2 5 ) ÷ 4 ENTER ( 4 7

+ 1 6 ) ÷

Find the intersection of the lines. KEYSTROKES: 2nd [CALC] 5 ENTER ENTER ENTER

The solution is (2, 3). ANSWER: (2, 3) 6. 4y – 5 = 20 –3x 4x – 7y + 16 = 0

The solution is (3, 4).

SOLUTION: Write each equation in the form y = mx + b.

ANSWER: (3, 4)

7.

SOLUTION: Write each equation in the form y = mx + b.

Enter

as Y2.

as Y1 and

Then graph the lines. KEYSTROKES: Y = ( (−) 3 + 2 5 )

eSolutions Manual - Powered by Cognero

÷ 4 ENTER ( 4 7

Page 3

+ 1 6 ) ÷

The solution is (3, 4).

The solution is (3, 2).

ANSWER: ANSWER: Explore 3-1: Graphing Technology Lab Intersections of Graphs (3, 4) (3, 2)

8.

7.

SOLUTION: Write each equation in the form y = mx + b.

SOLUTION: Write each equation in the form y = mx + b.

Enter Enter

as Y1 and

as Y2. Then

graph the lines. KEYSTROKES: Y = ( (−) 1 1 ) ÷ 4 ENTER 2

as Y1 and

as Y2.

Then graph the lines. KEYSTROKES: Y = ( (−) 3

+

−

3 ) ÷ 2 ENTER (−) 3 − 1 2 Find the intersection of the lines. KEYSTROKES: 2nd [CALC] 5 ENTER ENTER ENTER

− 4

Find the intersection of the lines. KEYSTROKES: 2nd [CALC] 5 ENTER ENTER ENTER

The solution is (−7, 9).

The solution is (3, 2).

ANSWER: (–7, 9)

ANSWER: (3, 2) 9. 8.

SOLUTION: Write each equation in the form y = mx + b. SOLUTION: Write each equation in the form y = mx + b.

Since both the equations are eSolutions Manual - Powered by Cognero

has infinitely many solutions. ANSWER: infinitely many

, the system Page 4

The solution is (−7, 9). ANSWER: Explore 3-1: Graphing Technology Lab Intersections of Graphs (–7, 9) 9. SOLUTION: Write each equation in the form y = mx + b.

Since both the equations are

, the system

has infinitely many solutions. ANSWER: infinitely many 10. SOLUTION: Write each equation in the form y = mx + b.

Enter

as Y1 and

Then graph the lines. KEYSTROKES: Y = (−) 3 − 2 ENTER (−) 3 GRAPH

as Y2. ÷ 4 ÷ 4 + 3

Since the graphs are parallel, the system has no solution. ANSWER: no solution

eSolutions Manual - Powered by Cognero

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