Hue is arranging chairs. She can form 2 rows of a given length with 2 chairs left over, or 6 rows of that same length if she get
s 14 more chairs. Complete the equation and solve it to find how many chairs are in that row length. In your equation, use the variable x to represent the number of chairs in each row.
There are 7 chairs in each row length. Step-by-step explanation: Let number of chairs in 1 row be 'x'. Let total number of chairs be 'y'. Given: Hue can form 6 rows of a given length with 3 chairs left over. It means that Total number of chairs is equal to chairs in 1 rows multiplied by number of rows which is 6 plus number of chairs which is left which is 3. Framing in equation form we get.
Also Given: Hue can form 8 rows of that same length if she gets 11 more chairs. It means that Total number of chairs is equal to chairs in 1 rows multiplied by number of rows which is 8 minus number of chairs which is required more which is 11. Framing in equation form we get.
From equation 1 and equation 2 we can say that L.H.S is same. So according to law of transitivity we get;
Combining like terms we get;
Using Subtraction and Addition property we get;
Now Using Division Property we will divide both side by 2.
