anonymous
  • anonymous
x+8y=7 (1) x=3-8y (2) solve the system of equations
Mathematics
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anonymous
  • anonymous
x+8y=7 (1) x=3-8y (2) solve the system of equations
Mathematics
chestercat
  • chestercat
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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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anonymous
  • anonymous
substitute x=3-8y to x+8y=7 it will be 3-8y+8y=7 from this you can't find y, so you cant find x as well. therefore the system doesn't have unique solution
anonymous
  • anonymous
A better way to approach this question for the purpose of understanding is to first make x the subject of equation 1 So x = 7 - 8y Both equations now have a gradient of -8. Their respectice y intercepts or constants are, however, different, which helps you to see that the lines are parallel and meet at infinity (or in layman's terms never meet at all!) OK this has not answered the question as you posed it but if you follow dindact's method, my method will then help you to see what happens to the equations.

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