How Do You Solve A System Of Two Linear Equations And Two Unknowns By Using The Substitution Method?
Solving a system of two linear equations and two unknowns seems to be challenging for many students in algebra. There are many methods one can use to solve these types of problems such as substitution, graphing, or addition. This article explains how to solve a system of two linear equations and two variables by using the substitution method. I will demonstrate this method by using the equations -2x+y=3 and 4x+3y=29 and solving for x and y. Solve one of the equations for one of the variables. Try to pick the equation where one of the variables can be easily solved for. If you look at -2x+y=3, just add -2x to both sides in order to solve for y. y=3+2x which I like to write as y=2x+3. Now, plug this expression for y into the other equation so you can solve for the numerical value of x. In my example, it would be 4x+3(2x+3)=29. Solve for x to get 4x+6x+9=29 or 10x=20 or x=2. Plug the value of the x variable into either equation and solve for y. In my example, I’ll just plug it into the se
