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kaidelhaj13 kaidelhaj13
  • 13-02-2017
  • Mathematics
Answered

Solve using substitution.


x + 2y = 14

-5x + y = 18

Verified Answer :

mollymollmoo99
mollymollmoo99 mollymollmoo99
  • 13-02-2017

x + 2y = 14
-5x + y = 18 --> y = 5x +18
x + 2(5x+18)  = 14
x + 10x +36 = 14
11x + 36 = 14
11x = -22
x = -2
sub x = -2 back in one of first two equations:
x + 2y = 14
-2 + 2y = 14
2y = 16
y = 8

x = -2, y = 8

Answer Link
SyntaxError
SyntaxError SyntaxError
  • 13-02-2017

\(x+2y=14\\ -5x+y=18\\ y=18+5x\\ x+2(18+5x)=14\\ x+36+10x=14\\ 11x=14-36\\ 11x=-22\\ x=-2\\ -5(-2)+y=18\\ 10+y=18\\ y=8\)

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