Write the two equations in slope-intercept form and then determine how many solutions the system has.
x - 2y = 5
2x - 4y = 18
One
Infinite number
None
2007-09-02 11:45:04 · 3 answers · asked by freesia2water 2 in Science & Mathematics ➔ Mathematics
Thank you so much for your help!!!!!
2007-09-02 11:53:56 · update #1
None
y = .5x -2.5
y = .5x - 4.5
Since they have the same slope, they are parallel.
2007-09-02 11:50:49 · answer #1 · answered by JO 3 · 0⤊ 0⤋
x - 2y = 5
2y = x - 5
y = 1/2 x - 5/2 This is slope-intercept form
2x-4y=18
4y=2x-18
y = 1/2 x -9/2 This is the slope-intercept form of the 2nd eq
Both eqs has the same slope, but a different intercept, so they never meet. So there is no solutions ans should be none.
2007-09-02 18:54:37 · answer #2 · answered by norman 7 · 0⤊ 0⤋
standard form of slope-intercept
y = mx + c (m = slope, c = y intercept)
(first line)
x - 2y =5
2y = x - 5
y = (1/2)(x) - 5/2
slope of first line = 1/2
(second line)
2x - 4y = 18
4y = 2x - 18
dividing by 4
y = (1/2)x - 9/2
the slope of second line is also 1/2
so given lines are parallel. parallel lines will never meet. So there is no solution for the given system
2007-09-02 18:58:49 · answer #3 · answered by mohanrao d 7 · 0⤊ 0⤋