Final answer:
To solve the system x = 3y - 7 and y = x using substitution, substitute x for y in the first equation, solve for x, and then substitute the value of x back into y, resulting in the solution x = 3.5 and y = 3.5.
Step-by-step explanation:
Solving a System of Equations Using Substitution
To solve a system of equations using substitution, we follow a series of steps to find the values for variables that satisfy both equations. In our case, we want to solve the system x = 3y - 7 and y = x. Here's how we can do it:
Substitute the value of x back into y: We know that y = x, so y = 3.5 as well.
Therefore, the solution to the system is x = 3.5 and y = 3.5.