Explain how to solve a system of three equations using the elimination method.

write all the equations in standard form cleared of decimals or fractions.

choose a variable to eliminate; then choose any two of the three equations and eliminate the chosen variable.

select a different set of two equations and eliminate the same variable as in step 2.

solve the two equations from steps 2 and 3 for the two variables they contain.

substitute the answers from step 4 into any equation involving the remaining variable.

check the solution with all three original equations.