24 3y Solve For Y

Here we volition bear witness you how to calculate and provide solutions to math issues related to 2x + 3y = 24.

We will outset by calculating and showing you the solution for the ten-intercept and y-intercept of 2x + 3y = 24.

And then, nosotros will testify you how to get the graph plot coordinates for 2x + 3y = 24 so we can illustrate it on a graph.

Finally, nosotros volition solve 2x + 3y = 24 for x and besides for y, and then calculate and show you the solution for the slope of 2x + 3y = 24.

Detect ten-intercept
The 10-intercept is where the graph crosses the ten-axis. To find the x-intercept, we gear up y₁=0 and then solve for x.

2x + 3y = 24
2x + iii(0) = 24

x₁ = 12 y_one = 0

Find y-intercept
The y-intercept is where the graph crosses the y-axis. To observe the y-intercept, nosotros set up x₂=0 so solve for y.

2x + 3y = 24
two(0) + 3y = 24

y₂ = 8 x_two = 0

Become Graph Plot Coordinates
Getting two graph points will allow yous to make a straight line on a graph. The plot coordinate format is (x_ane,y₁) and (x₂,y_two).

Thus, we use the x-intercept and y-intercept results in a higher place to go the graph plots for 2x + 3y = 24 every bit follows:

(x_i,y_ane) and (10₂,y₂)

(12,0) and (0,8)

2x + 3y = 24

Solve for x
To solve for ten, we solve the equation so the variable x is by itself on the left side:

2x + 3y = 24

10 = 12 - 1.5y

Solve for y
To solve for y, we solve the equation and so the variable y is by itself on the left side:

2x + 3y = 24

y = 8 - 0.667x

Find slope
The slope of the line (m) is the steepness of the line. It is the change in the y coordinate divided past the corresponding change in the 10 coordinate. Simply plug in the coordinates from to a higher place and solve for yard to go the slope for 2x + 3y = 24

yard = (y₂ - y₁)/(x_ii - x_i)
g = (8 - 0)/(0 - 12)

m = -0.667

Ax + Past = C Estimator
Now y'all know how to solve 2x + 3y = 24. Enter another math problem hither: