Question

In the xy-plane, the equations x + 2 = 10 y and 3 +6 = x y c represent the same line for some constant c. What is the value of c ?

Answer 1

Answer:

C=30

Step-by-step explanation:

Supposing that we have the lines

x+2=10y

and

3x+6=Yc.

Note that dividing by 3 the second line can be rewritten as

x + 2= Y c/3.  

Remember that a line is written as $ax+b=dY$, in our case, both lines have $a=1$ and $b=2$. Therefore, in orther that the two lines are equal, we need that $10=c/3$, hence $c=30.$