Solve the simultaneous equations:

\[ 2x + 3y = -3 \]
\[ 3x - 2y = 28 \]

\left \{ {\big{ 2x+3y=-3\ /\cdot2} \atop\big {3x-2y=28\ /\cdot3 }} \right.\\\\ \left \{ {\big{ 4x+6y=-6} \atop\big {9x-6y=84 }} \right.\\---------\\4x+9x=-6+84\\\\13x=78\ /:13\\\\x=6\\\\2x+3y=-3\ \ \ \ \Rightarrow\ \ \ 2\cdot6+3y=-3\ \ \ \Rightarrow\ \ \ 3y=-3-12\\\\3y=-15\ /:3\\\\c=-5\\\\Ans.\ \left \{ {{x=6} \atop {y=-5}} \right.

Answered by kate200468 | 2024-06-10

The solution to the simultaneous equations 2 x + 3 y = − 3 and 3 x − 2 y = 28 is x = 6 and y = − 5 . We used the elimination method to simplify and solve for the variables. The final answer is { x = 6, y = -5 }.
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Answered by kate200468 | 2024-09-03