Solving Systems by Substitution 6.2 A Solutions

To solve a pair of equations, begin by isolating one variable in terms of the other. Substitute this expression into the second equation and solve for the remaining variable. Once you have one value, back-substitute it into the first equation to find the second variable.

For example, if the first equation is solved for one variable, replace that variable in the second equation and simplify. This will result in a simpler linear equation that can be easily solved. Ensure you check the solution by substituting both values back into the original equations to verify their accuracy.

By following this approach, you can systematically eliminate one variable at a time and find the correct values for both. Always double-check your steps to avoid common algebraic errors and confirm the solution is correct.