Question

Solve the system of equations below.

5x-2y=18

3x+3y=15

Answer 1

(4,1)

Explanation:

Answer 2

`\left\{\begin{array}{ccc}5x-2y=18&|\cdot3\\3x+3y=15&|\cdot2\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}15x-6y=54\\6x+6y=30\end{array}\right}|\text{add both sides of the equations}\\.\qquad21x=84\ \ \ \ |:21\\.\qquad\boxed{x=4}\\\\\text{put the value of x to the second equation}\\\\3(4)+3y=15\\12+3y=15\ \ \ \ |-12\\3y=3\ \ \ \ |:3\\\boxed{y=1}\\\\Answer:\ x=4,\ y=1\to \boxed{B.\ (4,\ 1)}`