• anonymous
Solve The System Of Linear Equations x + y = 4 2x + 3y = 0
  • Stacey Warren - Expert
Hey! We 've verified this expert answer for you, click below to unlock the details :)
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.
  • jamiebookeater
I got my questions answered at in under 10 minutes. Go to now for free help!
  • cwrw238
hint multiply first equation by -2 and add - this eliminates the variable x
  • whpalmer4
Another approach, as one of the equations can be easily manipulated to give you one of the variables in terms of the other, would be to do so and substitute that expression in the other equation. \[x+y=4\]\[x=4-y\]Now rewrite the second equation using \((4-y)\) wherever you see \(x\).\[2(4-y) + 3y = 0\]Solve that for \(y\), then find \(x\) from \(x = 4-y\).
  • whpalmer4
@cwrw238's method is called elimination, and this one is called substitution.

Looking for something else?

Not the answer you are looking for? Search for more explanations.