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anonymous

  • 4 years ago

the difference between seven times one number and three times a second number is 25. The sum of twice the first and five times the second is 95, Find the numbers

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  1. anonymous
    • 4 years ago
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    7x-3y=25 2x+5y=95 System of equations, do you know how to solve?

  2. anonymous
    • 4 years ago
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    not really

  3. anonymous
    • 4 years ago
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    OK

  4. anonymous
    • 4 years ago
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    You want to solve for one variable in terms of the other.

  5. anonymous
    • 4 years ago
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    7x=3y+25 \[x=\frac{3}{7}y+\frac{25}{7}\]

  6. anonymous
    • 4 years ago
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    You then plug this into the other equation

  7. anonymous
    • 4 years ago
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    \[2(\frac{3}{7}y+\frac{25}{7})+5y=95\]

  8. anonymous
    • 4 years ago
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    \[\frac{6}{7}y+\frac{50}{7}+5y=95\]

  9. anonymous
    • 4 years ago
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    Multiply by 7

  10. anonymous
    • 4 years ago
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    \[6y+50+35y=665\]

  11. anonymous
    • 4 years ago
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    \[41y=615, y=15\]

  12. anonymous
    • 4 years ago
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    7x-3(15)=95 7x=140 x=20

  13. anonymous
    • 4 years ago
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    yur so kind thank you

  14. anonymous
    • 4 years ago
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    You're welcome

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