Final answer:
The question pertains to solving a system of linear equations, which can be tackled through substitution, elimination, or graphically. The given equations should first be manipulated to eliminate one variable, allowing for the solution for the remaining variable, followed by back-substitution to find the complete solution set.
Step-by-step explanation:
The question involves solving a system of linear equations. Linear equations are expressions that represent a straight line when graphed on a coordinate axis. They take the form y = a + bx, where a is the y-intercept and b is the slope. The system given is:
In order to solve this system, one can use methods such as substitution, elimination, or graphical representation. In the elimination method, for instance, you can multiply the first equation by 2 to allow the y terms to be eliminated when you add the two equations together.
Next, solve for x, and then back-substitute to find the value of y. The final step is to check your solutions in both original equations to ensure they are correct.