Respuesta :

With the help of the given equations, the values of x, y, and z are -3, 15, and -3.

What do we mean by equations?

  • The typical form for linear equations with two variables is Ax+By=C.
  • For instance, the linear equation 2x+3y=5 is in standard form.
  • Finding both intercepts of an equation in this format is fairly easy (x and y).
  • An equation is a mathematical statement that contains the symbol "equal to" between two expressions with identical values.
  • such as 3x + 5 = 15 as an example.
  • There are many different types of equations, including linear, quadratic, cubic, and others.

So, the values of x, y, and z:

Take equation (1) as follows: solve for 'x'

  • ‏x + y + z = 9
  • x = 9 - y - z

Now, substitute (x = 9 - y - z) in equation (2) as follows:

  • ‏2x + y + 2z = 3
  • ‏2(9 - y - z) + y + 2z = 3
  • 18 - 2y - 2z + y + 2z = 3
  • -y = 3 - 18
  • -y = -15
  • y = 15

Substitute y = 15 in equation (1):

  • x + y + z = 9
  • x + 15 + z = 9
  • x + z = 9 - 15
  • x + z = -6

So,

  • x = -6 - z
  • z = -6 - x

Then,

  • x + 6 + z = z + 6 + x
  • 0 = 0

Then, we can conclude that x and z will be equal.

  • So, x = z = -3 as x + z = -6

Therefore, with the help of the given equations, the values of x, y, and z are -3, 15, and -3.

Know more about equations here:

brainly.com/question/2972832

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The complete question is given below:

Find x, y, and z.

  1. ‏x + y + z = 9
  2. ‏2x + y + 2z = 3
  3. x - 4y - z = 2