Solve:(a)2t = 80 (b)-6.02 = -8.6t.We will use a property of equality to isolate the variable on one side of theequation.To solve the original equation, we want to find a simpler equivalent equation of theform t = a number or a number =t, whose solution is obvious.(a) To isolate t on the left side, we use the division property of equality. We can undo the multiplication by 2 by dividing both sides of the equation by 2.2t80This is the equation to solve.2t80Use the division property of equality: Divide both sides by 2.2t2Simplifyby removing the common factor of 2 in the numerator and denominator:21t =1.2t = 40The product of 1 and any number is that number: 1t = t.If we substitute 40 for t in 2t = 80, we obtain the true statement 80 = 80. This verifies that 40 is the solution. The solution set is {40}.(b) To isolatet on the right side, we use the division property of equality. We can undo the multiplication by -8.6 by dividing both sides by -8.6.-6.02= -8.6tThis is the equation to solve.-6.02-8.6tUse the division property of equality: Divide both sides by -8.6.-8.6= tDo the division: 8.6 6.02. The quotient of two negative numbers is positive.The solution is 0.7. Verify that this is correct by checking.Solve.(a)17x = 204X =(b)9.24 = -0.4rr =

Solve: (a) 2t = 80 (b) -6.02 = -8.6t. We will use a property of equality to isolate the variable on one side of the equation. To solve the original equation, we want to find a simpler equivalent equation of the form t = a number or a number = t, whose solution is obvious. (a) To isolatet on the left side, we use the division property of equality. We can undo the multiplication by 2 by dividing both sic 2t = 80 This is the equation to solve. 2t 80 Use the division property of equality: Divide both sides by 2. %3D 2 it = Simplify 4 by removing the common factor of 2 in the numerator and denominator: = 1. t = 40 The product of 1 and any number is that number: 1t = t. If we substitute 40 for t in 2t = 80, we obtain the true statement 80 = 80. This verifies that 40 is the solution. The solution s (b) To isolatet on the right side, we use the division property of equality. We can undo the multiplication by –8.6 by dividing bo -6.02 = -8.6t This is the equation to solve. -6.02 -8.6t

Solve: (a) 2t = 80 (b) -6.02 = -8.6t. We will use a property of equality to isolate the variable on one side of the equation. To solve the original equation, we want to find a simpler equivalent equation of the form t = a number or a number = t, whose solution is obvious. (a) To isolatet on the left side, we use the division property of equality. We can undo the multiplication by 2 by dividing both sic 2t = 80 This is the equation to solve. 2t 80 Use the division property of equality: Divide both sides by 2. %3D 2 it = Simplify 4 by removing the common factor of 2 in the numerator and denominator: = 1. t = 40 The product of 1 and any number is that number: 1t = t. If we substitute 40 for t in 2t = 80, we obtain the true statement 80 = 80. This verifies that 40 is the solution. The solution s (b) To isolatet on the right side, we use the division property of equality. We can undo the multiplication by –8.6 by dividing bo -6.02 = -8.6t This is the equation to solve. -6.02 -8.6t

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

See similar textbooks

Related questions

Q: Solve: (2x – 3)3 + 3 = 0.

Q: Solve: √(x + 10) - 4 = x.

Q: How can you solve - 58 = - T without multiplying or dividing each side by -1

A: How can you solve - 58 = - T without multiplying or dividing each side by -1

Q: Solve 5√x+10−5=6 for x

A: ANSWER : x = 1/25

Q: 2. X-7 4x+1 3.

A: NOTE: Refresh your page if you can't see any equations. . as we know denominator cannot be zero…

Q: While on vacation, Patty and her family visit Mount Rushmore in South Dakota. They watch a movie in…

A: We have to find total amount of time

Q: Solve: 2x2 – 9x = 5. 2r?

A: 2x2-9x-5=0

Q: Solve this equation to get the value of x 516=257x-11

Q: Solve: (a) 2x=5 (b) 8*3x = 5

A: Solve: (a) 2x=5 (b) 8*3x = 5

Q: Solve: (3x – 1)3 + 4 = 0.

A: We solve the equation as,

Q: Solve: √x + √3 + 3 = x.

A: Given that x+3+3=x

Q: (2x² – 3x + 1)(2x² + 5x + 1) = 9x?

Q: Solve for x: (x+5)-3=-1

Q: Given the following equations, find x a. (81)4* = 9 b. (27)2*+1 = c. Se*-1 - 2 = 23

Q: The formula h (t) = -16 t 2 + 32 t + 80 gives the height h above ground, in feet, of an object…

A: Given, function is

Q: change

A: We have to find the length and width according to the given rectangle

Q: solve for x: 4(2x+3)-2=42

A: The given equation is 4(2x+3)-2=42

Concept explainers

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.

Question

Solve:
(a)
2t = 80 (b)
-6.02 = -8.6t.
We will use a property of equality to isolate the variable on one side of the
equation.
To solve the original equation, we want to find a simpler equivalent equation of the
form t = a number or a number =
t, whose solution is obvious.
(a) To isolate t on the left side, we use the division property of equality. We can undo the multiplication by 2 by dividing both sides of the equation by 2.
2t
80
This is the equation to solve.
2t
80
Use the division property of equality: Divide both sides by 2.
2t
2
Simplify
by removing the common factor of 2 in the numerator and denominator:
2
1t =
1.
2
t = 40
The product of 1 and any number is that number: 1t = t.
If we substitute 40 for t in 2t = 80, we obtain the true statement 80 = 80. This verifies that 40 is the solution. The solution set is {40}.
(b) To isolatet on the right side, we use the division property of equality. We can undo the multiplication by -8.6 by dividing both sides by -8.6.
-6.02
= -8.6t
This is the equation to solve.
-6.02
-8.6t
Use the division property of equality: Divide both sides by -8.6.
-8.6
= t
Do the division: 8.6 6.02. The quotient of two negative numbers is positive.
The solution is 0.7. Verify that this is correct by checking.
Solve.
(a)
17x = 204
X =
(b)
9.24 = -0.4r
r =

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

INTRODUCTION

Step 2

Step 3

Step 4

Step by step

Solved in 4 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Linear Equations$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.

Similar questions

(a) Find the solution to the system using any method. {2x+y=11x=−3{2x+y=11x=−3 (b) Find the solution to the system by graphing the equations. {4x+5y=185x−3y=23{4x+5y=185x−3y=23 (c) Using their graphs, is the system consistent or inconsistent? If it is consistent, is it dependent or independent? Why? {3x−8y=228y+22=3x{3x−8y=228y+22=3x (d) The admission fee at Super Rides Amusement Park is $35 for children and $45 for adults. On a certain day, 5000 people entered the park and admission fees totaled $190,000. How many children and how any adults were admitted on that day? (e) A chemist needs to make 2 tablespoons of a 15% solution from a 10% solution mixed with a 35% solution. How many tablespoons of each should be mixed to get the desired solution?
Solve for x: (-3/2)x − -4 = 13
how do you solve sytem of equations?
-3 (5-26) =10. -3 Solve : (5 + 2/6) +(5-216) =10.
Solve for x: 74-3 = 93-9
Solve for x 3/5(×+2)=-4 A 8 B 13 C 15 D 23
Solve: (x - 1)2 = 5.