Can someone help me solve this: 2x+6y<18, Please show me how, step by step.?

Answer 1

It is an inequality with two variables. The best you can do is to graph it. The way to do that is to solve it in terms of y and then graph the equality. Finally shade the part matching the inequality...

Start by dividing everything by 2. This doesn't affect the inequality sign:
x + 3y < 9

Now subtract x from both sides:
3y < -x + 9

Now divide both sides by 3. If this was a negative number, you'd have to switch the signs, but here the sign remains as <.

y < (-1/3)x + 3

Now if this was an *equality* (y = (-1/3)x + 3), it is in point slope form. The slope is -1/3 and the y-intercept is 3. So graph this as a *dotted* line. And since it is asking for the values of y less than this, you shade everything below the line.

Answer 2

2x+6y<18
this is the equation of a straight line graph
make y the sybject of the formular
6y<18-2x
multiply throughout by 1/6
y<3-1/3x
to solve the equation let y=0
0<3-13x
can also be written as
3-1/3x>0
3>1/3x
multiply through by 3 to clear fraction
9>x.
therefore the answer is x<9.
thank you
i hope i'm correct

Answer 3

An inequality is similar to an equation. There are two expressions separated by a symbol that indicates how one expression is related to the other. In an equation such as 7x = 49, the = sign indicates that the expressions are equivalent. In an inequality, such as 7x > 49, the > sign indicates that the left side is larger than the right side.

To solve the inequality 7x > 49, we follow the same rules that we did for equations. In this case, divide both sides by 7 so that x > 7. This means that x is a value and it is always larger than 7, and never equal to or less than 7.

The "less than" symbol (<) may also be seen in inequalities.


So yeah x<9 is the correct answer

Answer 4

Subtract 2x from both sides:
6y>-2x+18

Divide 6 from both sides:
y>-1/3x+3

Just plug in numbers for x to find the y-values.