1.
2x + y = -12
-4x - 2y = 30 ---> 2x + y = -15
Clearly two parallel lines. I see the same slope, but different y-intercepts,
So obviously they cannot intersect
2.
1/3y = 7/3x + 5/3 ---> y = 7x + 5
x - 3y = 5
I see different slopes, so they WILL intersect
sub y = 7x + 5 into the 2nd
carry on
3.
Y = X - 7
3x - 3y = 21 ----> x - y = 7 or y = x - 7
They are both the same equation,
any equation will intersect with its self in an infinite number of points.
Solve each system using substitution. Tell whether the system has one solution, infinitely solutions, or no solution.
1.)
2x + y = -12;-4x - 2y = 30
2.)
1/3y = 7/3x + 5/3;x - 3y = 5
3.)
Y = X - 7;3x - 3y = 21
1 answer