How do i enter a variable like x or y into an equation? Like: 2x + 4y

Enter the equation as 2*X+3. Make sure that the name of the independent variable X in the equation and that on the INDEP:X line are both Capital letters or both lowercase letters.

Enter the equation as 2*X+3. Make sure that the name of the independent variable X in the equation and that on the INDEP:X line are both Capital letters or both lowercase letters.

Use the definitions of the intercepts.
x-intercepts (or zeros or roots) are the values of the independent variables that make the function equal to zero. To obtain an intercept set y=0 in equation : 5x=-10, mean x=-10/5=-2
y-intercept: value of y when x=0.
Just set x=0 in equaltion and solve for y
-4y=-10, gives y=5/2

And Sorry, I cannot enter the answer in the drop box.

This should start wit X=something and Y=something, sorry I'm not an human algebra calculator....

That is an equation describing a straight line. The "slope-intercept" form of a line is

y = mx + b

where m is the slope (change in y-value / change in x-value)
and b is the y-intercept (the point where the line crosses the y-axis when x=0)

Positive slope means the line is rising and negative slope means it's falling.

You can rewrite the original equation 2x - 4y -9 = 0 in slope-intercept form:

y = (1/2)x - (9/4)

So you know the slope is positive 1/2 (line rises 1 y-unit for each 2 x-unit change) and crosses the y-axis at -9/4. With this information you can graph the line.

You can solve it with following method.

5x+3y=6 2x-4y=5
So 5x=6-3y so 2[(6-3y)/5]-4y=5
So x=(6-3y)/5 so 12-6y-20y=25
so -26y=25-12
so -26y=13
so y= -(1/2)
2x-4y=5
so 2x=5+4y
so 2x=5+4(-1/2)
so 2x=(10-4)/2
so 2x=6/4
so x =3/2

The value of x=3/2 and value of y= -1/2

Let me know if you need further assistance.
Thanks for using FixYa.

6x+6=4x+12
Since 4x contains the variable to solve for, move it to the left-hand side of the equation by subtracting 4x from both sides.
6x+6-4x=12
Since 6x and -4x are like terms, add -4x to 6x to get 2x.
2x+6=12
Since 6 does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting 6 from both sides.
2x=-6+12
Add 12 to -6 to get 6.
2x=6
Divide each term in the equation by 2.
(2x)/(2)=(6)/(2)
Simplify the left-hand side of the equation by canceling the common factors.
x=(6)/(2)
Simplify the right-hand side of the equation by simplifying each term.
x=3

Good Luck

At first you have to slving this equations in explicit form y=f(x) and the graphing it. See captured images

The STO> button just above the on/off button is your memory store initializer.
example: 2x + 53 STO> y
stores "2x + 53" in a variable named "y".
To recall, just hit y and enter. In fact, if you type an equation like 3y^2 - 4y it will insert the data in for every "y" and give you:
(2x + 53)(6x + 155) as an answer.
To clear the memory:
DelVar y or F6 (2nd+F1) and clear all w/ single character names.
To recall a prevous answer, 2nd+(-) or type ans(1) for the last answer. You can also type ans(2) for the 2nd to last answer & so on.