Question

Consider this system of equations.

x + 2y = 5,
–x + 3y = 6

The x- and y-intercepts of the first equation are found below.

x-intercept:

y-intercept:

x + 2(0) = 5
x = 5

(5, 0)

(0) + 2y = 5
2y = 5

y = 5
2
= 2.5

Find the intercepts for the equation –x + 3y = 6.

What is the x-intercept?


What is the y-intercept?

Answer 1

-x=6, x intercept is at x=-6 or (-6,0)
3y=6, y intercept is at y=2 or (0,2)