What are solutions of 3y>2x when y=6? Can any one help with steps plz
First, you just need to disregard the greater than sign because these types of equation is solved the same way as those with equals (=) sign in the middle. So when y=6,
First you need to substitute y=6 to the y in 3y
3(6)>2x
By multiplying,
18>2x
By dividing both sides of the equation by 2
18/2 > 2x/2
9>x
However if you want to transpose x to the left side of the equation, you also need to reverse the sign to <
Which means
X<9
if y=6 them we will have
36>2x
18>2x
x must be smaller than 9, because
18=29 => 18=18, and we doesn't respect the rule
now that we know that x<9 we have other 2 cases...
1. x is a natural number x can take values from the interval [0, 8]
2. x is a rational number, so it can take values from the interval [8, - infinite)