2x 3y 21

2x 3y 21 DEFAULT
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\left. \begin{array} { l } { 2 x - 3 y = - 21 } \\ { x + 5 y = 22 } \end{array} \right.
To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for that variable in the other equation.
Choose one of the equations and solve it for x by isolating x on the left hand side of the equal sign.
Add 3y to both sides of the equation.
Multiply \frac{1}{2} times -21+3y.
Substitute \frac{-21+3y}{2} for x in the other equation, x+5y=22.
Add \frac{21}{2} to both sides of the equation.
Divide both sides of the equation by \frac{13}{2}, which is the same as multiplying both sides by the reciprocal of the fraction.
Substitute 5 for y in x=\frac{3}{2}y-\frac{21}{2}. Because the resulting equation contains only one variable, you can solve for x directly.
x=\frac{3}{2}\times 5-\frac{21}{2}
Multiply \frac{3}{2} times 5.
Add -\frac{21}{2} to \frac{15}{2} by finding a common denominator and adding the numerators. Then reduce the fraction to lowest terms if possible.
The system is now solved.


Sours: https://mathsolver.microsoft.com/en/solve-problem/%60left.%20%60begin%7Barray%7D%20%7B%20l%20%7D%20%7B%202%20x%20-%203%20y%20%3D%20-%2021%20%7D%20%60%60%20%7B%20x%20%2B%205%20y%20%3D%2022%20%7D%20%60end%7Barray%7D%20%60right.


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    Properties of a straight line

    Step  1  :

    Equation of a Straight Line

     1.1     Solve   2x-3y-21  = 0

    Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

    "y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

    In this formula :

    y tells us how far up the line goes
    x tells us how far along
    m is the Slope or Gradient i.e. how steep the line is
    b is the Y-intercept i.e. where the line crosses the Y axis

    The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  2x-3y-21  = 0 and calculate its properties

    Graph of a Straight Line :

    Calculate the Y-Intercept :

    Notice that when x = 0 the value of y is 7/-1 so this line "cuts" the y axis at y=-7.00000

      y-intercept = 21/-3 = 7/-1 = -7.00000

    Calculate the X-Intercept :

    When y = 0 the value of x is 21/2 Our line therefore "cuts" the x axis at x=10.50000

      x-intercept = 21/2 = 10.50000

    Calculate the Slope :

    Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -7.000 and for x=2.000, the value of y is -5.667. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -5.667 - (-7.000) = 1.333 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

      Slope = 1.333/2.000 = 0.667

    Geometric figure: Straight Line

    1.   Slope = 1.333/2.000 = 0.667
    2.   x-intercept = 21/2 = 10.50000
    3.   y-intercept = 21/-3 = 7/-1 = -7.00000
    Sours: https://www.tiger-algebra.com/drill/2x-3y-21=0/
    Sistema de Equações: Método da Adição

    Here we will show you how to calculate and provide solutions to math problems related to 2x + 3y = 21.

    We will start by calculating and showing you the solution for the x-intercept and y-intercept of 2x + 3y = 21.

    Then, we will show you how to get the graph plot coordinates for 2x + 3y = 21 so we can illustrate it on a graph.

    Finally, we will solve 2x + 3y = 21 for x and also for y, then calculate and show you the solution for the slope of 2x + 3y = 21.

    Find x-intercept
    The x-intercept is where the graph crosses the x-axis. To find the x-intercept, we set y1=0 and then solve for x.

    2x + 3y = 21
    2x + 3(0) = 21
    x1 = 10.5    y1 = 0

    Find y-intercept
    The y-intercept is where the graph crosses the y-axis. To find the y-intercept, we set x2=0 and then solve for y.

    2x + 3y = 21
    2(0) + 3y = 21
    y2 = 7    x2 = 0

    Get Graph Plot Coordinates
    Getting two graph points will allow you to make a straight line on a graph. The plot coordinate format is (x1,y1) and (x2,y2).

    Thus, we use the x-intercept and y-intercept results above to get the graph plots for 2x + 3y = 21 as follows:

    (x1,y1) and (x2,y2)
    (10.5,0)and (0,7)

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

    2x + 3y = 21
    x = 10.5 - 1.5y

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

    2x + 3y = 21
    y = 7 - 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 by the corresponding change in the x coordinate. Simply plug in the coordinates from above and solve for m to get the slope for 2x + 3y = 21

    m = (y2- y1)/(x2- x1)
    m = (7 - 0)/(0 - 10.5)
    m = -0.667

    Ax + By = C Calculator
    Now you know how to solve 2x + 3y = 21. Enter another math problem here:

    2x + 3y = 22
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    Answers are rounded to the nearest thousandth if necessary. If you want exact answers instead of rounded answers, then keep the fraction answers when you solve the equations instead of converting them to decimal numbers like we did.

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    Sours: https://numbermaniacs.com/Ax+By=C/2x+3y=21.html

    21 2x 3y

    So, that left and to hell with her, all the more, he does not pay alimony. Dumbfounded, I wandered on. Upon returning home, Julia met me offering to swim from the road. I went into the shower, undressed, stood under a stream of warm water and wondered how to live with her further.

    Rápido e Fácil - Sistemas Lineares 3 x 3 - Escalonamento

    I put up with this for a long time. But, in the end, he could not resist, and, succumbing to temptation, decided to lure her into his apartment. And there, whatever happens. The main thing is that I will fuck her.

    Now discussing:

    I spread my legs and took him by the cock, oh-oh-oh, it was smooth and so hard. I decided to direct it into my hole, but I didn't succeed. Then Andrey took it and inserted it into my hole.

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