Question

The sum of Lisa’s age and John’s age is 49. Lisa is one more than twice as old as John. Let J be John's age and L be Lisa's age to create the equations for this system.

Equation from the 1st sentence:
Equation from the 2nd sentence:

Answer 1

To create the system of equations, the sum of Lisa and John's ages is represented as L + J = 49, and the relation between their ages is given by L = 2J + 1.

Step-by-step explanation:

The student would like to create two equations based on the following information:

1. The sum of Lisa's age (L) and John's age (J) is 49.
2. Lisa is one more than twice as old as John.

To translate this into a system of equations, we use:

• The equation for the first sentence is L + J = 49.
• The equation for the second sentence is L = 2J + 1.

These two equations can be used to solve for the values of L and J, the ages of Lisa and John, respectively.