Question

Can you choose which equations represent the statements?

A. xy = 10
B. y = 5x
C. x + y = 10
D. y = x + 5
E. y = x + 10
F. y = 10x

The sum of two numbers is 10. The second number is five times the second number.

Answer 1

The correct equations that represent the statements are B: y = 5x and C: x + y = 10, which describe a situation where the sum of two numbers is 10 and the second number is five times the first number.

Step-by-step explanation:

The student is asking for the representation of a particular situation using linear equations. The first statement says, 'The sum of two numbers is 10.' This is accurately represented by equation C, which is x + y = 10. The second statement can be corrected to 'The second number is five times the first number.' This is represented by equation B, which is y = 5x. Both conditions are met simultaneously by equations B and C together.