4x+3y=14-yx-5y=23. IF (x, y) is a solution to the system of equationsabove, what is x - y?A) 1B)C) 3D) 18

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30-10-2022
Mathematics

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4x+3y=14-yx-5y=23. IF (x, y) is a solution to the system of equationsabove, what is x - y?A) 1B)C) 3D) 18

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AlyonaI627051 AlyonaI627051 · Answer 1 · 2022-10-30T20:28:00+01:00

[tex]\begin{gathered} 4x+3y=14-y \\ 4x+3y+y=14 \\ 4x+4y=14\text{. It can reduced by dividing through by 2} \\ 2x+2y=7\ldots\ldots\ldots\ldots\text{.......}(1) \\ x-5y=2\ldots\ldots\ldots.......(2) \\ x=2+5y \\ 2(2+5y)+2y=7 \\ 4+10y+2y=7 \\ 12y=3 \\ y=\frac{3}{12}=\frac{1}{4} \\ x=2+5(\frac{1}{4}) \\ x=\frac{8+5}{4}=\frac{13}{4} \\ x-y=\frac{13}{4}-\frac{1}{4}=\frac{12}{4}=3 \end{gathered}[/tex]

C. 3