SOLUTION: Which pair of equations does NOT have a common solution? a) x+y = -1; 4x-3y=24 b)4x+6y=12; 6x+9y=12 c) 2x-3y=-4; 2x+y=4 d) 5x-4y=9; x-2y=-3 Please Explain solution Thank

Question 463148: Which pair of equations does NOT have a common solution?
a) x+y = -1; 4x-3y=24
b)4x+6y=12; 6x+9y=12
c) 2x-3y=-4; 2x+y=4
d) 5x-4y=9; x-2y=-3
Please Explain solution
Thank you!
Found 2 solutions by richard1234, MathLover1:
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
Already posted. Even with the changes in C, B does not have a common solution.
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!
Which pair of equations does NOT have a common solution?
a)
;
b);
c) ;
d) ;
easiest way is to write all of them in slope-intercept form and see if any of them are parallel lines; parallel lines do NOT have a common solution

a)
...slope is

..slope is

b)
..........slope is

..............slope is

c)
..... ..... ...slope is
......slope is

d)
.........slope is
...........slope is
as you can see, only
b)
and have same slope..
let's see if these lines are parallel:

so, your answer is
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