Show Solve the system of linear equations step by stepThis calculator will solve the system of linear equations of any kind, with steps shown, using either the Gauss-Jordan elimination method, the inverse matrix method, or Cramer's rule. Related calculator: System of Equations Calculator Comma-separated, for example, x+2y=5,3x+5y=14. Leave empty for autodetection or specify variables like x,y (comma-separated). If the calculator did not compute something or you have identified an error, or you have a suggestion/feedback, please write it in the comments below. Your InputSolve $$$\begin{cases} 5 x - 2 y = 1 \\ x + 3 y = 7 \end{cases}$$$ for $$$x$$$, $$$y$$$ using the Gauss-Jordan Elimination method. SolutionWrite down the augmented matrix: $$$\left[\begin{array}{cc|c}5 & -2 & 1\\1 & 3 & 7\end{array}\right]$$$. Perform the Gauss-Jordan elimination (for steps, see Gauss-Jordan elimination calculator): $$$\left[\begin{array}{cc|c}5 & -2 & 1\\0 & \frac{17}{5} & \frac{34}{5}\end{array}\right]$$$. Back-substitute: $$$y = \frac{\frac{34}{5}}{\frac{17}{5}} = 2$$$ $$$x = \frac{1 - \left(-2\right) \left(2\right)}{5} = 1$$$ Answer$$$x = 1$$$A $$$y = 2$$$A  Our online expert tutors can answer this problem Get step-by-step solutions from expert tutors as fast as 15-30 minutes. Your first 5 questions are on us! You are being redirected to Course Hero I want to submit the same problem to Course HeroCorrect Answer :) Let's Try Again :( Try to further simplify Number LineGraphHide Plot » Sorry, your browser does not support this applicationExamples
system-of-equations-calculator en System of 2 linear equations in 2 variables
[1] 2022/07/30 09:34 50 years old level / An engineer / Very / Purpose of useto solve for both variables in 2 equationsComment/RequestThis was very cool, and I love how you arrive at it.[2] 2021/11/08 17:08 Under 20 years old / High-school/ University/ Grad student / Useful / Comment/RequestMAth is too hard for me[3] 2021/08/12 11:08 50 years old level / High-school/ University/ Grad student / Useful / Purpose of useToo lazy to do the maths myself, looking to do some comparison/confirmation of COVID statistics.Comment/RequestSaved me some time on a calculator.[4] 2021/01/28 01:36 Under 20 years old / Elementary school/ Junior high-school student / Very / Purpose of useStudy GuideComment/RequestVery useful for fast answers on 2 equations.[5] 2021/01/20 11:31 20 years old level / High-school/ University/ Grad student / Useful / Purpose of useto learn how use it.[6] 2020/12/01 10:17 60 years old level or over / An engineer / Useful / [7] 2020/07/23 05:40 Under 20 years old / High-school/ University/ Grad student / Very / Purpose of useSolving StatsComment/RequestPretty Good[8] 2020/06/23 03:09 Under 20 years old / Elementary school/ Junior high-school student / A little / Comment/Requestnot able to calculate with root values[9] 2020/03/20 20:46 Under 20 years old / Elementary school/ Junior high-school student / Useful / Purpose of usemath presentation/stuck on two linear equation[10] 2019/11/23 12:00 Under 20 years old / High-school/ University/ Grad student / Very / Purpose of useNot to lose time.Thank you for your questionnaire. To improve this 'System of 2 linear equations in 2 variables Calculator', please fill in questionnaire. How do you classify the system of linear equations?Systems of equations are classified as independent with one solution, dependent with an infinite number of solutions, or inconsistent with no solution. One method of solving a system of linear equations in two variables is by graphing.
How do you find the system of equations from a graph?TO SOLVE A SYSTEM OF LINEAR EQUATIONS BY GRAPHING.
Determine whether the lines intersect, are parallel, or are the same line. Identify the solution to the system. If the lines intersect, identify the point of intersection. Check to make sure it is a solution to both equations.
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Classifying systems of linear equations from graphs calculator
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