lumpkinanika13 lumpkinanika13
  • 17-08-2019
  • Mathematics
contestada

Solve the following system of equations: −2x + y = 1 −4x + y = −1

Respuesta :

gmany
gmany gmany
  • 17-08-2019

Answer:

x = 1, y = 3 → (1, 3)

Step-by-step explanation:

[tex]\left\{\begin{array}{ccc}-2x+y=1\\-4x+y=-1&\text{change the signs}\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}-2x+y=1\\4x-y=1\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad2x=2\qquad\text{divide both sides by 2}\\.\qquad x=1\\\\\text{Put it to the first equation:}\\\\-2(1)+y=1\\-2+y=1\qquad\text{add 2 to both sides}\\y=3[/tex]

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