Secondary Math 1 Module 5 Systems 5.5 Solutions and Explanations

Begin by solving the first equation for one variable and substitute that into the second equation. This method of substitution helps to isolate the second variable and simplify the calculations.

For example: If you have the equations 2x + y = 10 and x – y = 2, solve the second equation for x, then substitute that value into the first equation to find the value of y.

Ensure that all operations are done carefully to avoid errors. Once you find the value for one variable, check it by substituting it back into both equations to confirm that both are satisfied.

Lastly, verify your solution by substituting both values of x and y back into the original equations. This step ensures that your solutions are accurate and complete.