Question

In a theater, there are 4 long rows of chairs, each with an equal number of chairs. There are 5 short rows of chairs, each with an equal number of chairs. On a crowded day, the ushers added 2 chairs to each long row and 3 chairs to each short row. If x represents the number of chairs in each long row and y represents the number of chairs in each short row, the total number of chairs in the theater is given by the expression 4(x + 2) + 5(y + 3). An equivalent expression is

Answer 1

Answer: 4x + 5y + 23

Step-by-step explanation: One of the ways to get an answer is by further factorising the equation given in the question, that is, 4(x+2) + 5(y+3)

4x + 8 + 5y + 15

4x + 5y + 23

This is one method, and there are infinite solutions for a linear equation in two variables. There are other methods, but this one is also correct.