Respuesta :

The solution for this system of linear equation is (-16, -5 1/3)

What in mathematics is a linear equation?

  • A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.
  • Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

From the first equation, x = 3y

Substituting the expression on the right for the value of x on the second equation,

                                  -2(3y) + 3y = 16

Solving for the value of y gives y = -5 1/3

With this value of y, solving for x gives x = -16

Thus, the solution for this system of linear equation is (-16, -5 1/3)

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The complete question is -

What is the solution to this system of linear equations? x − 3y = −2 x + 3y = 16