y = 5x + 7
3y - 15x = 18
- Since both equations are representing the same line just in different forms, they are essentially equivalent equations and have infinite solutions.
x - 2y = 6
3x + 6y = 18
- These equations represent parallel lines and do not intersect, so they have no solutions.
y = 3x + 6
y = -1/3x - 4
- These equations represent two different lines with different slopes and y-intercepts, so they intersect at one point and have one solution.
y = 2/3x - 1
y = 2/3x - 2
- These equations represent the same line, so they have infinite solutions.
Match the system of equations to the number of solutions it has.
y = 5x + 7
3y - 15x = 18 ::
x -2y =6
3x 6y =18 ::
y = 3x + 6
y = -1/3x - 4 ::
y = 2/3x - 1
y = 2/3x - 2 ::
:: Infinite Solutions
:: No Solutions
:: One Solution
1 answer
1 answer