Answered

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6x - 12y = 15
2x - 4y = 6

Sagot :

Refer to the attachment

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Answer:

No solution.

given:

  • [tex]\sf 6x - 12y = 15[/tex]
  • [tex]\sf 2x - 4y = 6[/tex]

make x the subject in equation 2:

[tex]\hookrightarrow \sf 2x = 6+4y[/tex]

[tex]\hookrightarrow \sf x = \dfrac{6+4y}{2}[/tex]

insert this in equation 1:

[tex]\hookrightarrow \sf 6(\dfrac{6+4y}{2}) - 12y = 15[/tex]

[tex]\hookrightarrow \sf 3(6+4y}) - 12y = 15[/tex]

[tex]\hookrightarrow \sf 18+12y - 12y = 15[/tex]

[tex]\hookrightarrow \sf 18 = 15[/tex]

[tex]\circle \bold \mathrm{\sf \The\:sides\:are\:not\:equal}[/tex]

y cancels out, thus no solution.

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