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The statement explains why the ordered pair is a solution to the system of equations. Is the statement true or false? True False The ordered pair (−3,−6) is a solution for the first equation, and it is a solution for the second equation. Therefore, (−3,−6) ​ is a solution to the system of equations. ​ −4x y=65x−y=21 ​.

Respuesta :

The system of the equation doesn't give the solution at (-3, -6).

Given to us

  • -4x+y = 6
  • 5x-y =21

Equation 1,

-4x+y = 6

solve for y

[tex]-4x+y =6\\y= 6+4x[/tex]

Equation 2,

5x-y =21

substitute the value of y in equation 2,

[tex]5x-(6+4x) =21\\5x -6 -4x =21\\5x -4x=21+6\\x = 27[/tex]

Substitute the value of x in equation 2,

[tex]5x-y =21\\5(27)-y =21\\135-y = 21\\-y=21-135\\-y = -114\\y=114[/tex]

We can see that the solution of the two equations is at (27, 114). Also, it can be verified by plotting the line on the graph.

Hence, the system of the equation doesn't give the solution at (-3, -6).

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