# How to find solutions to an equation

Algebra 1 : How to find the solution to an equation

Possible Answers: Correct answer: Explanation: To solve for, you must first combine the 's on the right side of the equation. This will give you. Then, subtract and from both sides of the equation to get. Finally, divide both sides by to get the solution. Report an Error. We are given the following system of equations: We are to find and. We can solve this through the substitution method. First, substitute the second equation into the first equation to get. Solve for by adding 4x to both sides. Add 5 to both sides. Divide by 7. So. Use this value to find using one of the equations from our given system of equations. I think I'll use the first equation (can also use the .

A cube has a volume of. If what a wicked gang are we lyrics width isits length isand its height isfind. Since the object in question is a cube, each of its sides must be the same length. Therefore, to get a volume ofeach side must be equal to the cube root ofwhich is cm. We can then set each expression equal to. The first expression can be how to find solutions to an equation by either orbut the other two expressions make it evident that the solution is.

Solve the system for and. The most simple method for solving systems of equations is to transform one of the equations so it allows for the canceling out of a variable. In this case, we can multiply by to get. Then, we can add to this equation to yieldso. We can plug that value into either of the original equations; for example. So, as well. By solving one equation forand replacing in the other equation with that expression, you generate an equation of only 1 variable which can be readily solved.

Solve this system of equations for :. Multiply the top equation by :. To solve this system of equations, use substitution. First, convert the second equation to isolate. Then, substitute into the first equation for. Combine terms and solve for. Now that we know the value ofwe can solve for using our previous substitution equation. When we add the two equations, the and variables cancel leaving us with:.

Solve for :. First, combine like terms to get. Then, subtract 12 and from both sides to separate the integers from the 's to get. Finally, divide both sides by 3 to get. We are to find and. We can solve this through the substitution method. First, substitute the second equation into the first equation to get.

Solve for by adding 4x to both sides. Use this value to find using one of what is my body shape trinny and susannah equations from our given system of equations.

I think I'll use the first equation can also use the second equation. If you've found an issue finnd this question, please let us know. With the help of the community we can continue to improve our educational resources. If Varsity Tutors takes action in response to an Infringement Notice, it will make a good faith attempt to contact the party that made such content available by means of the most recent email address, if any, provided by such party to Varsity Tutors.

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Hanley Rd, Suite St. Louis, MO We are open Saturday and Sunday! Subject optional. Home Embed. Email address: Your name:. Possible Answers:. How to find solutions to an equation answer:. Explanation : Since the object in question is a cube, each of its sides must be the same length. Report an Error. Explanation : The most simple method for solving systems of equations is to transform one of the equations so it allows for the canceling out of a variable.

What is eqyation solution to the following system of equations:. Explanation : By solving one equation solugionsand replacing in the other equation with that expression, you generate an equation of only 1 variable which can be readily solved. Explanation : Multiply the bottom equation by 5, how to find solutions to an equation add to the top equation:. Explanation : Multiply the top equation by : Now add:. Find the solution to the following system of equations. Explanation : To solve this system of equations, use substitution.

Find a solution for the following system of equations:. Possible Answers: infinitely many solutions. Correct answer: no solution. Explanation : When we add the two equations, the wn variables cancel leaving us with: which means there is no solution for this solutiins.

Possible Answers: None of the other answers. Explanation : First, combine like terms to get. We have two linear functions: Find the coordinate at which they intersect. Explanation : We are given the following system of equations: We are to find and. First, substitute the second equation into the first equation to get Solve for by adding 4x to both sides Add 5 to both sides Divide by 7 So. So the two linear functions intersect at.

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Analyzing the number of solutions to linear equations

Practice telling whether an equation has one, zero, or infinite solutions. For example, how many solutions does the equation 8(3x+10)=28xx have? x^x^2+4=0. \sqrt {x-1}-x= \left|3x+1\right|=4. \log _2 (x+1)=\log _3 (27) 3^x=9^ {x+5} equation-calculator. en. Sign In. Sign in with Office More than just an online equation solver. Wolfram|Alpha is a great tool for finding polynomial roots and solving systems of equations. It also factors polynomials, plots polynomial solution sets and inequalities and more. Learn more about: Equation solving» Tips for .

Solve for :. Then, you can further simplify by adding 5 and to both sides to get. Then, you can divide both sides by 5 to get. What number is six less than eight more than one half of four times the square of the greatest negative integer? Remember to cancel as you go--the 18 will cancel with the 27, the 4 will cancel with the 8, and so on:. To solve for , you must first combine the 's on the right side of the equation. This will give you. Then, subtract and from both sides of the equation to get.

Finally, divide both sides by to get the solution. First, use the distributive property to simplify the right side of the equation:.

Then, subtract and add 4 to both sides to separate the 's and the integers to get. Divide both sides by 3 to get. To solve for , first divide both sides by :. Then, subtract both sides by to get. If you've found an issue with this question, please let us know. With the help of the community we can continue to improve our educational resources. If Varsity Tutors takes action in response to an Infringement Notice, it will make a good faith attempt to contact the party that made such content available by means of the most recent email address, if any, provided by such party to Varsity Tutors.

Your Infringement Notice may be forwarded to the party that made the content available or to third parties such as ChillingEffects. Thus, if you are not sure content located on or linked-to by the Website infringes your copyright, you should consider first contacting an attorney. Hanley Rd, Suite St. Louis, MO We are open Saturday and Sunday! Subject optional. Home Embed.

Email address: Your name:. Possible Answers:. Correct answer:. Explanation : can be simplified to become Then, you can further simplify by adding 5 and to both sides to get. Report an Error. Explanation : Turn the word problem into math. Start at the end--what is the greatest negative integer? Explanation : Remember to cancel as you go--the 18 will cancel with the 27, the 4 will cancel with the 8, and so on: Continue to reduce:.

Example Question 1 : Linear Equations. Explanation : To solve for , you must first combine the 's on the right side of the equation. Explanation : First, use the distributive property to simplify the right side of the equation:. Explanation : To solve for , first divide both sides by :. Explanation :. Explanation : 1. First simplify the first expression: 2. Then, simplify the next two expressions: 3. Finally, add and subtract:. First solve for the numerator by plugging in -2 for x: 2.

Then, solve the denominator by combining the fractions: 3. Copyright Notice. View Algebra Tutors. Joshua Certified Tutor. Paul Certified Tutor. University of Iowa, Bachelor in Arts, Psychology. Lisa Certified Tutor. Report an issue with this question If you've found an issue with this question, please let us know. Do not fill in this field. Louis, MO Or fill out the form below:. Company name.

Copyright holder you represent if other than yourself. I am the owner, or an agent authorized to act on behalf of the owner of an exclusive right that is allegedly infringed. I have a good faith belief that the use of the material in the manner complained of is not authorized by the copyright owner, its agent, or the law.

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