Determine all the solutions to the systems of equations: x^2 + y^2 +x + y = 12 and xy + x + y = 3

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.

Get our expert's

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this and thousands of other questions.

A community for students.

Determine all the solutions to the systems of equations: x^2 + y^2 +x + y = 12 and xy + x + y = 3

Mathematics
See more answers at brainly.com
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.

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this and thousands of other questions

use the second equation to eliminate x from the first equation. then simplify and factorise the resulting equation in y and solve.
what do you mean by using the second equation? add or subtract?
second equation is:\[xy+x+y=3\]therefore:\[x(y+1)+y=3\]\[x(y+1)=3-y\]\[x=\frac{3-y}{y+1}\]

Not the answer you are looking for?

Search for more explanations.

Ask your own question

Other answers:

now substitute this into the first equation to eliminate x
ok but it seems pretty complicated
it will look complicated initially, but if you follow it through then you should find it simplifying. when you first substitute this fractional expression for x into the first equation, you will get an expression with fractions in it. just multiply both sides of the equation with a suitable value to get rid of the fractions - then try and simplify.
thx
yw - let me know if you get stuck and I'll try to assist It's pretty late here now so I need to get some sleep, but good luck!

Not the answer you are looking for?

Search for more explanations.

Ask your own question