Question

While you are solving the equation, which choice could be one of your lines?

Option 1: 3x = 8
Option 2: 3x = 14
Option 3: 7x = 8
Option 4: 7x = 14

Answer 1

To solve for x in the set of linear equations, first simplify to find the value for y, then substitute and rearrange to solve for x, checking the final answer for reasonableness.

Step-by-step explanation:

In solving linear equations, it's best to approach the problem step by step. The given equations (7y = 6x + 8, 4y = 8, and y + 7 = 3x) are all linear and can be manipulated to isolate the variable of interest. For instance, 4y = 8 can be simplified to get y = 2. Then, this value of y can be substituted into the other equations to find x. This process involves eliminating terms wherever possible and rearranging the equations to make the unknown the subject. Once a solution for x is obtained, it should be checked to ensure it's reasonable.