alianagonzales
Answered

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Solve the system using substitution.

4x+y=19 x-5y=1
x-y=-9 -2x+9y=-1

Sagot :

Answer:

Step-by-step explanation:

(327,57)

Equation Form:

x=327,y=57

(−827,−197)

Equation Form:

x=−827,y=−197

Answer:

1.

[tex]x=\frac{38}{7} \\y=-\frac{19}{7}[/tex]

2.

[tex]x=-\frac{82}{7} \\y=-\frac{19}{7}[/tex]

Step-by-step explanation:

4x+y=19

y=19-4x

x-5y=1

x-5(19-4x)=19

x-95+20x=19

21x=19+95

21x=114

x=114/21=38/7

y=19-4(38/7)

y=19-152/7

[tex]y=\frac{133-152}{7}=-\frac{19}{7}[/tex]

2.

x-y=-9

x=y-9

-2x+9y=-1

-2(y-9)+9y=-1

-2y+18+9y=-1

7y=-1-18

7y=-19

[tex]y=-\frac{19}{7}[/tex]

[tex]x=y-9\\x=-\frac{19}{7} -9\\x=\frac{-19-63}{7} \\x=-\frac{82}{7}[/tex]

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