Linear Combinations in Systems of Equations

What is the purpose of multiplying one or both equations in a system when using linear combination?

• To eliminate one of the variables

• To make the equations easier to graph

• To find the slope of the line

• To check for consistency

What is the first step in solving the system of equations using linear combination?

• Graphing the equations

• Substituting one equation into the other

• Multiplying one or both equations to align coefficients

• Solving for one variable

Which of the following systems of equations can be solved by linear combination without any modification?

• The system has one solution

• The system has no solution

• The system has infinitely many solutions

• The system is inconsistent

• The system has infinitely many solutions

• The system has no solution