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Y=x+2 y+1= – 4x Is this ordered pair a solution of the system of equations? Help:(
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43 votes
43 votes
Y=x+2
y+1= – 4x
Is this ordered pair a solution of the system of equations? Help:(

User Minnette
by
2.7k points

1 Answer

8 votes
8 votes
  • y=x+2.....(1)
  • y+1= – 4x......(2)

Put value of y in Equation 1 in Equation 2.


\looparrowright \sf y + 1 = - 4x


\\ \\


\looparrowright \sf (x + 2) + 1 = - 4x


\\ \\


\looparrowright \sf x + 2 + 1 = - 4x


\\ \\


\looparrowright \sf x +3= - 4x


\\ \\


\looparrowright \sf x + 4x= - 3


\\ \\


\looparrowright \sf 5x= - 3


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\looparrowright \sf x= ( - 3)/(5)


\\ \\

Let's find value of y :


\\ \\


\looparrowright \sf y=x+2


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\looparrowright \sf y= ( - 3)/(5) +2


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\looparrowright \sf y= ( - 3 + 10)/(5)


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\looparrowright \sf y= (7)/(5)

Solution:


\looparrowright \sf \bigg( ( - 3)/(5) , (7)/(5) \bigg)

User Antonello Gatto
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