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Sagot :
Solving for x
Since 6y does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting 6y from both sides.
−4x=−6y+24
Divide each term in the equation by −4.
−4x/−4=−6y/−4+24/−4
Simplify
x=3y/2+24/−4
Divide 24 by −4 to get −6.
x=3y/2−6
x is equal to 3y/2−6
You solve y the same way you solve x:
Because −4x does not contain the variable to solve for, move it to the right-hand side of the equation by adding 4x to both sides.
6y=4x+24
Divide each term in the equation by 6.
6y/6=4x/6+24/6
Simplify
y=2x/3+24/6
Divide 24 by 6 to get 4.
y=2x/3+4
y is equal to 2x/3+4
Since 6y does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting 6y from both sides.
−4x=−6y+24
Divide each term in the equation by −4.
−4x/−4=−6y/−4+24/−4
Simplify
x=3y/2+24/−4
Divide 24 by −4 to get −6.
x=3y/2−6
x is equal to 3y/2−6
You solve y the same way you solve x:
Because −4x does not contain the variable to solve for, move it to the right-hand side of the equation by adding 4x to both sides.
6y=4x+24
Divide each term in the equation by 6.
6y/6=4x/6+24/6
Simplify
y=2x/3+24/6
Divide 24 by 6 to get 4.
y=2x/3+4
y is equal to 2x/3+4
So,
Let's manipulate this into the y=mx + b form.
Add 4x to both sides
-6y = 4x + 24
Divide both sides by -6
[tex]y = \frac{4}{-6} x - 4[/tex]
Just use the slope to find the points you need.
The y-intercept is (0,-4).
The slope is [tex] \frac{4}{-6} [/tex]. Finding the next point:
(-6,0)
You could have also used the slope intercept method.
-4(0) - 6y = 24
-6y = 24
Divide both sides by -6
y = -4
(0,-4)
-4x - 6(0) = 24
-4x = 24
Divide both sides by -4
x = -6
(-6,0)
Let's manipulate this into the y=mx + b form.
Add 4x to both sides
-6y = 4x + 24
Divide both sides by -6
[tex]y = \frac{4}{-6} x - 4[/tex]
Just use the slope to find the points you need.
The y-intercept is (0,-4).
The slope is [tex] \frac{4}{-6} [/tex]. Finding the next point:
(-6,0)
You could have also used the slope intercept method.
-4(0) - 6y = 24
-6y = 24
Divide both sides by -6
y = -4
(0,-4)
-4x - 6(0) = 24
-4x = 24
Divide both sides by -4
x = -6
(-6,0)
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