The greatest common factor is 2
We first have to look for the largest number that goes into both equations. The factors of 12 are 1, 2, 3, 4, 6 and 12. None of 3, 4, 6, or 12 go into 26 evenly. So 2 is the largest number you can take out.
With the variables, we take out as many as the lowest number will let us. Since the smallest number of n's is 2 in the second term, we take that many.
Answer:
<em>We can't find a unique price for an apple and an orange.</em>
Step-by-step explanation:
Suppose, the price of an apple is and the price of an orange is
They need $10 for 4 apples and 4 oranges. So, the first equation will be.......
They also need $15 for 6 apples and 6 oranges. So, the second equation will be........
Dividing equation (1) by 2 on both sides :
Dividing equation (2) by 3 on both sides :
So, we can see that both equation (1) and (2) are actually same. That means, we will not get any unique solution for and
here. Both
and
have <u>"infinitely many solutions"</u>.
Thus, we can't find a unique price for an apple and an orange.