For infinite number of solutions , left side should equal right side
It means the value of expression on left side must be equal to the value of expression on right side.
Now here the expression is
6x+15=−3(ax−b)
Let's first simplify this, so we get...
6x+15 = -3ax +3b
Now Comparing both sides , we can compare the terms with x and the constant terms separately
So
-3a= 6 and 3b =15
first solve for a
-3a = 6
Divide both sides by -3
a=-2
Now let's solve for b
3b=15
Divide both sides by 3
b=5,
So answer is a=-2 , b=5