kangamango
kangamango kangamango
  • 03-01-2017
  • Mathematics
contestada

Solve the following system of equations: -2x + y = 1
-4x + y = -1 (1 point)

Respuesta :

texaschic101
texaschic101 texaschic101
  • 03-01-2017
-2x + y = 1....multiply by -1
-4x + y = -1
--------------
2x - y = -1 (result of multiplying by -1)
-4x + y = -1
----------------add
-2x = -2
x = -2/-2
x = 1

-2x + y = 1
-2(1) + y = 1
-2 + y = 1
y = 1 + 2
y = 3

solution is : (1,3)
Answer Link
xEngineerOrg
xEngineerOrg xEngineerOrg
  • 03-01-2017
Step 1. Extract y from the first equation:
[tex]y=1+2x[/tex]

Step 2. Replace y in the second equation and solve for x:
[tex]-4x+1+2x=-1[/tex]
[tex]-2x=-2[/tex]
[tex]x=1[/tex]

Step 3. Replace x=1 in the first equation and find y:
[tex]-2 \cdot 1 + y =1[/tex]
[tex]y=3[/tex]




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