Question

Consider the following set of equations:

Equation M: 3y = 3x + 6
Equation P: y = x + 2

Which of the following best describes the solution to the given set of equations?

No solution
One solution
Two solutions
Infinite solutions

Answer 1

I got one solution, is that right? @NOpanda14

Answer 2

Check again, isolate y in the first equation

Answer 3

Like @dude said you need to isolate the first equation. When dealing with problems like these you would need to see on how the slope and the y-intercept turn out instead of automatically substituting `y`.

You need to divide by 3 from the first equation on both sides. Then view the equation.

`Does it have the same slope as equation p? Does it contain the same y-intercept as equation p? What are it's differences?`

`Remember that if the equations contain different slopes and different y-intercepts then they will only intersect at one point. If they contain same slopes and different y-intercepts then they are parallel and will have no solutions (due to no meeting), if they contain both the same slope and same y-intercept then they will have infinite solutions.`