Post by account_disabled on Mar 13, 2024 22:42:58 GMT -5
One of the Mathematics topics that will come in your entrance exam is Linear Equations and here we will explain the main points you need to know Pay attention! What is the exam topic for your university entrance? Linear equations An algebraic equation is a mathematical statement that relates two algebraic expressions that involve at least one variable. Equations of the first degree are an equality in which terms of a variable intervene, with an exponent one. There are 3 types of systems of linear equations: Linear equations with a single solution: Geometrically there are two lines with different slopes and we have an intersection point, that point is the solution.
Linear equations with multiple solutions: Geometrically Ca Cell Numbers it is a line, any point that is within the line is a solution. Linear equations without solutions: Geometrically they are two parallel lines that never intersect. New call to action There are also 4 main ways to solve systems of linear equations with two equations and two unknowns . The four methods to solve linear equations are: Substitution: In which a variable is removed from the first equation and substituted into the second. Equalization: It consists of solving for a variable in the first equation and in the second and then equalizing them.
Addition-Subtraction: It consists of multiplying one of the two equations by some number so that when adding or subtracting the two equations a variable is canceled. Determinant: It consists of finding the determinant of X and Y , and that of the system. Let's solve an exercise with the substitution method: x+3y=8 -2x+12y=1 Step 1: Solve x from the first equation: Where: x=8-3y Step 2: Substitute this value into the X of the second equation Where: -2(8-3y)+12y=1 Step 3: The notable product is resolved: -16+6y + 12y=1 Remaining: 18y=1 + 16 Step 4: Clear Y, where it is: Y= 17/18 Step 5: Substitute the value of Y into the solution for the first equation: X=8-3 (17/18) When solved it remains: x= 5.16 New call to action We hope you have learned a little more about the topic of Linear Equations.