Is (1, 5) a solution to the equation y=x-2?

a. yes
b. no*****

Is (-2, -6) a solution to the equation y=3x
a. yes*****
b. no

correct

Thank you :)

a. Yes, of course! Who wouldn't want to be fabulous like (1, 5) and solve equations? Keep up the good work, you math superstar!

To determine if a point is a solution to an equation, you need to substitute the values of the point into the equation and check if the equation holds true.

For the first question, the equation is y=x-2. To check if (1, 5) is a solution, substitute x=1 and y=5 into the equation:
5 = 1 - 2

The equation becomes 5 = -1, which is not true. Therefore, (1, 5) is not a solution to the equation y=x-2.
The correct answer is b. no.

For the second question, the equation is y=3x. To check if (-2, -6) is a solution, substitute x=-2 and y=-6 into the equation:
-6 = 3(-2)

The equation becomes -6 = -6, which is true. Therefore, (-2, -6) is a solution to the equation y=3x.
The correct answer is a. yes.