Which of the following systems of equations has no solution?

a. 9x + 5y = 1; 15y = 18x − 4
b. -7x − 7 = 3y; -14y − 8 = -6x
c. 4x − 3y = 9; 6y = 8x − 18
d. 7y = 5x − 10; 10x − 14y = 8

Question

Which of the following systems of equations has no solution? 

   a. 9x + 5y = 1; 15y = 18x − 4 
   b. -7x − 7 = 3y; -14y − 8 = -6x 
   c. 4x − 3y = 9; 6y = 8x − 18 
   d. 7y = 5x − 10; 10x − 14y = 8

anonymous · Answer

Check for D..

callisto · Answer

Check the slope... if they have the same slope, then it has no solution since they don't intersect.

anonymous · Answer

5x - 7y = 10

Multiply it by 2,
10x - 14y = 20
10x - 14y = 8

On subtracting both x and y will get cancel and therefore no solution..

callisto · Answer

To find the slope, you can re-arrange the equations into the form: y=mx+c , slope = m 

or to rearrange the equations into the form of $ax+by+c=0$, slope = -a/b