Respuesta :

Given↷

A system of equations

  • y= x-1
  • y= -2x+5

To find↷

  • The solution to the system of equations

Answer↷

  • (2,1)

Solution↷

y = x -1 _ _ _ _ _ _(1)

y=-2x+5_ _ _ _ _ _(2)

  • subtracting equation 2 from equation 1,

we get,

x -1 = y

-(-2x +5 = y)

__________

3x -6 = 0

3x = 6

x = 6/3

x = 2

___________

  • Plugging the value of x in equation 1,

y= 2-1

y= 1

  • hence, the solution of this system of equation is (2,1)
Ver imagen Аноним
  • y=x-1
  • y=-2x+5

We will solve this through graphical way

Graph both equations

Solution is

  • (2,1)

Graph attached

Ver imagen Аноним

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