Question

The sum of two numbers is 15. The larger number is 2 less than three times the smaller number. What are the two numbers?

Write an equation that can be used to express the problem as a system of two linear equations in slope-intercept form.

Answer 1

two numbers are called x and y
x + y = 15
3x = y+2

Convert to slope intercept:
y = -x + 15
y = 3x - 2