30.3k views
4 votes
How I do this?
3x+4y=11
X-2y=-3

User Asia
by
4.7k points

1 Answer

5 votes

Answer:


\huge\boxed{x=1,\ y=2\to(1,\ 2)}

Explanation:


\left\{\begin{array}{ccc}3x+4y=11\\x-2y=-3&\text{multiply both sides by (-3)}\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}3x+4y=11\\-3x+6y=9\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad\ \ \ \ 10y=20\qquad\text{divide both sides by 10}\\.\qquad\qquad\boxed{y=2}\\\\\text{subtitute it to the second equation:}\\x-2(2)=-3\\x-4=-3\qquad\text{add 4 to both sides}\\\boxed{x=1}

User Elektroi
by
3.9k points