Question

Solve each system using the graphing calculator. 12. The difference between two numbers is twelve. The sum of seven times the first number and three times the second number is negative eleven. Find the two numbers that will make these statements true.

Answer 1

x = 2.5, y = -9.5

Explanation:

Let's denote the two numbers as x and y. According to the information given:

The difference between two numbers is twelve:

This can be written as an equation: x - y = 12.

The sum of seven times the first number and three times the second number is negative eleven:

This can be written as an equation: 7x + 3y = -11.

Now we have a system of two equations with two variables:

Equation 1: x - y = 12

Equation 2: 7x + 3y = -11