Solve System of Equations Compilation

What is the first step in solving a system of equations using substitution?

• Multiply both equations by a constant

• Graph the equations

• Isolate one variable in one of the equations

• Add the equations together

When using substitution, what do you do after isolating a variable?

• Graph the isolated variable

• Multiply the isolated variable by a constant

• Add the isolated variable to both sides

• Substitute the isolated variable into the other equation

What does it mean if a system of equations has a consistent and dependent solution?

• The system has two solutions

• The system has infinitely many solutions

• The system has exactly one solution

• The system has no solution

In the elimination method, what is the goal when adjusting the coefficients of the variables?

• To make the coefficients of both variables equal to one

• To make the coefficients of one variable different in both equations

• To make the coefficients of both variables zero

• To make the coefficients of one variable the same in both equations

What indicates that a system of equations has no solution when using the elimination method?

• The resulting equation has a variable with a coefficient of zero

• The resulting equation has a variable with a coefficient of one

• The resulting equation is a false statement

• The resulting equation is a true statement

What is the least common multiple used for in the elimination method?

• To graph the equations

• To find the solution to the system

• To adjust the coefficients of the variables

• To determine the number of solutions

Why might one prefer the elimination method over substitution?

• It always results in a simpler solution

• It avoids dealing with fractions

• It requires fewer steps

• It is easier to graph