Question

Determine if the point (-2,-2) lies on both of the lines in the system of equations by substituting the ordered pair into both equations

Answer 1

To determine if the given point lies on both given lines, replace the values of x and y of the point into each equation and verify the equation, as follow:

point: (-2,-2)

x = -2

y = -2

first equation:

2x + 3y - 10 = 2(-2) + 3(-2) + 10 = -4 - 6 + 10 = -10 + 10 = 0

second equation:

3x = 3y

3(-2) = 3(-2)

-6 = -6

As you can notice, when you replace x and y by the values of the point the equation is consistent.

Then, you can conclude that the point lies on both lines.