Question

Boxes A and B contain some counters.is

8y + 1
counters
6y + 9
counters
Box A
Box B
The number of counters in each box is the same.
Work out the value of y

Answer 1

Answer: y=4

Explanation:

8y+1=6y+9 -Because y is equal the equations are as well.

2y+1=9- Take 6y to the other side by -6y

2y=8-Take one over by -1

y=4-Divide 8 by 2 to get y=4

Answer 2

The value of y is 4

Explanation:

If the some of the counters in each box are the same, then A = B

If A is 8y + 1 and B is 6y + 9

Since A = B, we can say

8y + 1 = 6y + 9

Collecting like terms, we will have

8y - 6y = 9 - 1

2y = 8

Dividing both sides by 2, we will have

y = 8/2

y = 4