anonymous
  • anonymous
PROBLEM SOLVING USING SYSTEMS OF EQUATIONS Roger is 13 years younger than his sister Jackie. Together the sum of their ages of 91. How old is both Roger and Jackie?
Mathematics
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anonymous
  • anonymous
PROBLEM SOLVING USING SYSTEMS OF EQUATIONS Roger is 13 years younger than his sister Jackie. Together the sum of their ages of 91. How old is both Roger and Jackie?
Mathematics
katieb
  • katieb
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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lgbasallote
  • lgbasallote
let x = jackie's age x-13 = roger's age x + (x-13) = 91 2x - 13 = 91 2x = 106 x = 53 x - 13 = 40 so Jackie is 53 years old and Roger is 40 years old.
lgbasallote
  • lgbasallote
sorry that was 2x = 104 x = 52 x-13 = 39 Jackie = 52 yrs old Roger = 39 yrs old
anonymous
  • anonymous
so in this equation there is no y=?

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lgbasallote
  • lgbasallote
well y is just a variable. You can also use y. For example y = Jackie's age y-13 = Roger's age then you repeat the whole process.
anonymous
  • anonymous
what i ment was you dont need both y and x in the equation? y = roger x = jackie?
lgbasallote
  • lgbasallote
oh. i see your point. okay, i'll do it your way. x = Jackie y = Roger y = x - 13 x+ y = 91 using systems of linear eqautions, -x + y = -13 x+y = 91 add the two equations... 2y = 78 y = 39 39 = x - 13 x = 29 + 13 x = 52 was that what you meant?
anonymous
  • anonymous
yes thankyou so much!

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