[tex]2(ax + 3) = 3(4x + 8)[/tex]
what is the value of a if there's no solution
we know that
if there's no solution, then the lines must be parallel
so
Apply distributive property both sides
2ax+6=12x+24
the slope of the left side is 2a
the slope of the right side is 12
If the lines are parallel, then their slopes are equal
so
2a=12
solve for a
Part 2
we have
10(ax-5)=-4(5x+6)
we know that
if there's no solution, then the lines must be parallel
so
Apply distributive property both sides
10ax-50=20x+24
so
10a=20
