Final answer:
When solving a system of equations, find equations with one unknown variable. Solve for the unknowns by substituting known values into the equations and solving numerically.
Step-by-step explanation:
When solving a system of equations, it's important to find equations that contain only one unknown variable. In some cases, you may need to use multiple equations to solve for the unknowns.
Once you have the equations, you can substitute the known values into the appropriate equation and solve for the unknown variables numerically, making sure to include units.
For example, let's say we have the system of equations:
x + y = 7
2x - y = 1
We can solve this system by multiplying the first equation by 2 and adding it to the second equation:
2(x + y) + (2x - y) = 2(7) + 1
2x + 2y + 2x - y = 14 + 1
4x + y = 15
Now we have a single equation with one variable, which we can solve for x. Once we have x, we can substitute it back into one of the original equations to find the value for y.