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