The solution is (9, 4.5). ANSWER: Explore 3-1: Graphing Technology Lab Intersections of Graphs (9, 4.5) Use a graphing calculator to solve each system of equations. 1. 2x + 4y =36 10y – 5x = 0 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
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
Page 5
