2. Write a system of equations that has (2, 7.5) as its solution.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Can you please help me with number 2
2.1 Exercises
You will need a graphing calculator for exercises 1, 5, and 8-10.
Buoy m no
Practice Your Skills
1. Use a table to find the point of intersection for each pair of linear equations.
(y = 3x - 17
y =-2x -8
(y= 28 – 3(x-5)
b.
|y=6+7x
a. @
2. Write a system of equations that has (2, 7.5) as its solution.
3. Write the equation of the line perpendicular to y = 4 – 2.5x and passing througn
the point (1, 5).
4. Solve each equation.
a. 4 - 2.5(x – 6) = 3 + 7x @
b. 11.5 + 4.1t = 6+3.2(t – 4)
5. Use substitution to find the point (x. y) where each pair of lines intersect. Use a graph or
table to verify your answer.
y = -2+ 3(x – 7)
a. @
[y=0.23x + 9
b.
y = 4 – 1.35x
y = -1.5x+ 7
с.
2y = -3x + 14
y = 10 – 5x
Reason and Apply
6. The equations s, = 18 + 0.4m and s, = 11.2 + 0.54m give the lengths of two different
springs in centimeters, s, and s2, as mass amounts in grams, m, are separately added to
Transcribed Image Text:2.1 Exercises You will need a graphing calculator for exercises 1, 5, and 8-10. Buoy m no Practice Your Skills 1. Use a table to find the point of intersection for each pair of linear equations. (y = 3x - 17 y =-2x -8 (y= 28 – 3(x-5) b. |y=6+7x a. @ 2. Write a system of equations that has (2, 7.5) as its solution. 3. Write the equation of the line perpendicular to y = 4 – 2.5x and passing througn the point (1, 5). 4. Solve each equation. a. 4 - 2.5(x – 6) = 3 + 7x @ b. 11.5 + 4.1t = 6+3.2(t – 4) 5. Use substitution to find the point (x. y) where each pair of lines intersect. Use a graph or table to verify your answer. y = -2+ 3(x – 7) a. @ [y=0.23x + 9 b. y = 4 – 1.35x y = -1.5x+ 7 с. 2y = -3x + 14 y = 10 – 5x Reason and Apply 6. The equations s, = 18 + 0.4m and s, = 11.2 + 0.54m give the lengths of two different springs in centimeters, s, and s2, as mass amounts in grams, m, are separately added to
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