Final answer:
To write the equation 7x - y = 2 in standard form (8,3) parallel to it, we need to rearrange the equation so that it is in the form Ax + By = C.
Step-by-step explanation:
To write the equation 7x-y=2 in standard form (8,3) parallel to it, we need to rearrange the equation so that it is in the form Ax + By = C, where A, B, and C are integers and A is positive.
Starting with the given equation:
7x - y = 2
Let's move the variable terms to the left side and keep the constant term on the right side:
7x - y - 2 = 0
To make the coefficient of x positive, we can multiply both sides of the equation by -1:
-1(7x - y - 2) = -1(0)
-7x + y + 2 = 0
Now we can write the equation in standard form: -7x + y = -2