Question

How many solutions does the following equation have -17(y-2)=−17y+64

Answer 1

This equation has an error.

Expand the equation to obtain solution.

-17(y-2) = -17y+64

-17y+34 = -17y+64

Which implies,

34 = 64

And it is not true. This result suggests that the equation given is not valid.

Answer 2

No solutions.

Explanation:

Step 1: Distribute

-17y + 34 = -17y + 64

Since both have the same slope and different y-intercept, they would be parallel lines and have no solution. Alternatively, if you solve for y:

Step 2: Add 17y to both sides

34 ≠ 64

So we have no solution, or 0 solutions.