Answer:
[tex]x = 246.9\: \\ and \: \\ y \: = 375.5[/tex]
Step-by-step explanation:
[tex]according \: to \: the \: above \: statement : \\ \frac{x + 40}{y + 40} = \: \frac{15}{22} \: and \: \frac{x - 100}{y + 100} = \: \frac{8}{15}[/tex]
[tex]make\:(y) \: the \: subject \: of \: the \: relation \\ \: in \: eq....(1) : \\ y \: = \frac{22x + 200}{15} ....eq(3)[/tex]
[tex]make\:(x) \: the \: subject \: of \: the \: relation \\ \: in \: eq....(2) : \\ x \: = \frac{8y + 700}{15} ....eq(4)[/tex]
[tex]to \: find \: x \: substitute \: the \: value \: of \: y \\ in \: eq....(4) \: then[/tex]
[tex] x \: = \frac{8( \frac{22x \: + 200}{15} ) + 700}{15} = \frac{( \frac{176x \: + 1600}{15} ) + 700}{15} = \\ \frac{( {176x \: + 1600}{} ) +(15 \times 700)}{15} \div 15= \frac{(176x \: + 12,100)}{15} \times \frac{1}{15} [/tex]
[tex]so \: 225x - 176x \: = 12,100 \\ x = 246.93877551. \: and \: y \: = 375.51020408[/tex]
note: if any of the above answers are not right, then gradually go through it. cos the equation are 100% right, but its possible for error during calculation.
