Question

For what value of “m” will the pair of linear equations 2 + 3 = 7 and mx+9/2y=12
have no solutions?

Answer 1

Step-by-step explanation:  

Have no solution means that the lines are parallel  

i.e.,a1/a2 is equal to b1/b2 is not equal to c1/c2  

In the first equation ,  

2x + 3y =  7 or 2x + 3y -7=0  

a1 = 2 , b1 = 3 ,  c1 = (-7)  

and in the second equation  

mx +9/2y = 12 or mx +9/2y -12 = 0  

a2 = m  b2 = 9/2 and c2 = (-12)  

therefore a1/a2 = 2/m,  

b1/b2 = 3/9/2    

=>  3/9  * 2/1  

=>  6/9  

=>  2/3  

c1/c2 = (-7)/(-12)  

therefore k = 3

as a1/a2 = b1/b2  

i.e.,  2/m = 2/3

m=3  

I hope that this answer may help u