Answer:
y=2 x and y=-2x ONE
y=-x - 2 and y = -x - 6 NONE
y = 9x - 1 and y = x + 9 ONE
y = 3x + 4 and 2y = 6x + 8 INFINITE
y=-3 and x = -6 ONE
Explanation:
Any two equations (with y value isolated, meaning y has no coefficient) that have the same slope will have no solutions because they are parallel. Parallel lines never meet. For example:
y=-x - 2 and y = -x - 6
They both have a slope of -1. The slope is the number attached to the "x".
If two equations are equivalent, they will have infinite solutions. Equivalent equations can be found when a whole equation is multiplied or divided by a number. For example:
y = 3x + 4 and 2y = 6x + 8
When you double every term in the first equation, it becomes:
2y = (2)3x + (2)4
It's the same as 2y = 6x + 8 .
Any other case will have one solution.
