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Lesson 17.1 Skills PracticeName___ Date___Systems of Equations Using Linear Combinations to Solve a Linear SystemVocabulary1. Explain the linear combinations' method (elimination) in your own words.
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Identify the coefficients of x and y in each equation.
02
Choose a method to solve the system (e.g. substitution, elimination, or graphing).
03
Use the chosen method to solve for either x or y in one of the equations.
04
Substitute the value obtained in step 3 back into the other equation to solve for the remaining variable.
05
Write the solution as an ordered pair (x, y).

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Anyone who needs to find the intersection point of two lines.
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Solving linear systems involves finding the values of variables that satisfy all equations in the system simultaneously.
Anyone working in the field of mathematics or engineering may need to solve linear systems as part of their work.
Linear systems can be filled out by using methods such as substitution, elimination, or matrix manipulation.
The purpose of solving linear systems is to find the intersection point of multiple equations, representing the simultaneous solution.
The information reported on solving linear systems may include the equations involved, the variables being solved for, and the solution obtained.
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