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### Solving **Systems** of Equations in Algebra - dummies

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### In the last video, we saw what a system of equations is. And in this video, I'm going to show you one algebraic technique for solving systems of equations, where you don't have to graph the two lines and try to figure out exactly where they intersect.

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The substitution method is a technique for solving a system of equations. This article reviews the technique with multiple examples and some practice problems for you to try on your own. If you're seeing this message, it means we're having trouble loading external resources on our website. How to Solve a System of Equations by Substitution - Video May 26, 2015 · Systems of equations are math problems that include more than one equation. In this video lesson, you learned about the substitution method. This method involves substituting one equation into another to solve the problem. To use this method, you first solve some of … Solving Systems of Linear Equations by Substitution Examples Solve the system of equations: The first equation has a coefficient of 1 on the y, so we'll solve the first equation for y to get. Now we can substitute for y in the equation 2y + 6x = -8: We simplify to get:-6x – 8 + 6x = -8. Combining the x terms, we get -8 = -8. We know this statement is true, because we just lost $8 the other day, and now we're $8 poorer. Solving Systems of Linear Equations by Substitution Solving Systems of Linear Equations by Substitution Graphing is a useful tool for solving systems of equations, but it can sometimes be time-consuming. A quicker way to solve systems is to isolate one variable in one equation, and substitute the resulting expression for that variable in the other equation.