Question

The school store sells pens for $2.00 and notebooks for $3.00. The equation 2x + 3y = 60 describes the number of pens x and notebooks y that you can buy for $60.00.

What do the x- and y- intercepts stand for?

Answer 1

Simplifying
2x + 3y = 60

Solving
2x + 3y = 60

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3y' to each side of the equation.
2x + 3y + -3y = 60 + -3y

Combine like terms: 3y + -3y = 0
2x + 0 = 60 + -3y
2x = 60 + -3y

Divide each side by '2'.
x = 30 + -1.5y

Simplifying
x = 30 + -1.5y

Hope this helps! :D