How Do You Solve Linear Equations In Systems Of Equations?
Linear equations are equations that are represented in the form ax + b = 0, in which x is the variable and a and b are real numbers. Most linear equations you will come across in your algebra courses will not be in that perfect form. Each term will be in a different order and the equation may contain a second variable, usually y. Regardless, linear equations will form a straight line when graphed. A system of equations is made up of two linear equations. If you graphed both lines in a system, the point of intersection would represent the solution. Since it is beneficial to see a math problem being worked, the steps to solve a system of linear equations are shown below using the system 9x + 4y = 36 and y + 3x = 9. Choose one of the equations in the system to solve for the variable x or y. In the case of the sample problem, let’s solve for y. Substitute the newly found y value for the y variable in the first equation. Use the distributive property to get rid of the parenthesis in the equ