Final answer:
The equation 7x + 4 = x - 2 can be rewritten as a system of equations: y = 7x + 4 and y = x - 2. You can solve this system by equating the two expressions for y and solving for x and y.
Step-by-step explanation:
To rewrite the equation 7x + 4 = x - 2 as a system of equations, you can set each side equal to y. This results in a system where:
Now you have two equations with two variables (x and y), and you can solve this system by methods such as substitution, elimination, or graphing.
For example, you could solve for x by setting the two equations equal to each other since they are both equal to y. This gives you 7x + 4 = x - 2. Solving for x involves combining like terms, which gives 6x = -6, and dividing both sides by 6, we get x = -1. Substituting x back into one of the original equations will yield the corresponding y value, in this case, y = 7*(-1) + 4 = -3.