Purchase Solution

Linear Equations in One Variable

Not what you're looking for?

Ask Custom Question

Solve and check the following linear equations:

1. 6x -3 = 63

2. 5x - (2x - 10) = 35

3. 3x + 5 = 2x + 13

4. 3x + 14 = 12x - 5

5. 2 (x - 1) + 3 = x - 3 (x + 1)

6. 2 - (7x + 5) = 13 - 3x

7. 5x - (2x + 2) = x + (3x - 5)

8. 45 - [4 - 2y - 4 (y + 7)] = -4 (1 + 3y - [4 - 3 (y + 2) - 2 (2y - 5)]

Purchase this Solution
Solution Summary

This solution is comprised of a detailed step-by-step calculation of the given Linear Equations. This solution provides students with a clear perspective of solving linear equations in Algebra.

Solution Preview

1) 6x -3 = 63
Or, 6x = 63+3 (Taking the constant 3 to the other side of the equation, and thus changing the sign.)
Or, 6x = 66
Or, x = 66/6 = 11

Check: Putting x= 11, in 6x -3 = 63, L.H.S. = 6 *11 - 3 = 66-3 = 63 = R.H.S.
Since, L.H.S. = R.H.S., therefore the answer is correct.

2) 5x - ( 2x - 10) = 35
Or, 5x -2x +10 = 35 (Removing the bracket)
Or, 5x – 2x = 35 – 10 (Taking the variables to one side and constants to the other side of the equation)
Or, 3x = 25
Or, x = 25/3

Check: Putting x= 25/3, in 5x - ( 2x - 10) = 35, L.H.S. = 5 *25/3 –{( 2*25/3) – 10)} = 35 = R.H.S.
Since, L.H.S. = R.H.S., therefore the answer is correct.

3) 3x + 5 = 2x + 13
...

Purchase this Solution
Free BrainMass Quizzes
Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

Probability Quiz

Some questions on probability

Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

View More Free Quizzes
Related BrainMass Solutions

  • Methods of solving linear systems

    Substitution Method Given a structure of two linear equations in two variables, explain the system by solving one equation meant for one variable and alternate the appearance into the other equation .The exchange method is used to remove one of the variables

  • Simple Regressions and Multiple Regressions

    What is simple linear regression? The simple linear regression is a method to determine the relationship between one dependent variable and one independent variable. How is regression used to create equations and to make predictions?

  • Methods of solving

    Substitution method In substitution method we solve one of the equations in terms of one of the variables. Then put value of that variable in another equation to solve.

  • Discussion questions on systems of linear equations

    By looking at above examples I would prefer the substitution method for solving the system of linear equations as in this method we have to find the value of one variable in terms of other variable and then substitute to fins the solution.

  • Functions and Graphs

    A linear equation in one variable ?A linear equation in two variables ?A quadratic equation ?A polynomial of three terms ?An exponential function ?

  • Issue of linear equality in 1 variable linear equation

    490381 THe Linear Equality in Linear Equations of One Variable Could you please help me with this problem?: Scenario: You have just graduated from college, and you have started your first big project at your new job.

  • Linear equations

    A linear equation in one variable A linear equation in one variable is an equation that can be written in the form: ax + b = 0 where a and b are constants The following is an example of a linear equation in one variable: 7x - 1 = 6 Solution

  • similarities and differences between the functions and linear equations

    399657 Linear equations are assessed. What similarities and differences do you see between the functions and linear equations studied in Ch. 3? Are all linear equations functions? Is there an instance when a linear equation is not a function?

  • Comparing Linear Functions and Equations and Domain & Range

    229397 Comparing Linear Functions and Equations and Domain and Range (1)- What similarities and differences do you see between functions and linear equations that you studied in Chapter 3? . Are all linear equations functions?

  • System of Equations

    The substitution method is used especially when there is a variable which can be easily isolated from one side of the equation and substitute that same variable on the other equation with its value.

View More Related Solutions