Question

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

Answer 1

Answer:

0

Step-by-step explanation:

$-17(y-2)=-17y+64\qquad\text{use the distributive property}\\\\(-17)(y)+(-17)(-2)=-17y+64\\\\-17y+34=-17y+64\qquad\text{add}\ 17y\ \text{to both sides}\\\\-17y+17y+34=-17y+17y+64\\\\34=64\qquad\bold{FALSE}\\\\\bold{CONCLUSION:}\ \large\boxed{\text{no solution}}$

Answer 2

Answer:

Step-by-step explanation:

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

-17y  + 34 = -17y + 64

-17y + 17y = 64 - 34

0 = 30 (incorrect)

this system has NO SOLUTIONS