Mathematics, 04.07.2019 22:30 hermesrobles
Solve by elimination - show your work! i need to know which method can be used for this specific problem. 5x + 4y = 12 3x - 3y = 18
Answers: 1
![\bf \begin{cases} 5x+4y=12\\ 3x-3y=18 \end{cases} ~\hfill \begin{array}{lllllll} 5x+4y=12&&\times 3\implies &15x+12y=36\\ 3x-3y=18&&\times 4\implies &12x-12y=72\\ \cline{4-4}\\ &&&27x+0y=108 \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ 27x=108\implies x=\cfrac{108}{27}\implies \blacktriangleright x=4 \blacktriangleleft](/tpl/images/0051/8264/7a00d.png)
![\bf \stackrel{\textit{substituting the \boxed{x} in the 2nd equation}}{3(4)-3y=18\implies 12-3y=18}\implies -3y=6 \\\\\\ y=\cfrac{6}{-3}\implies \blacktriangleright y=-2 \blacktriangleleft \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill (4,-2)~\hfill](/tpl/images/0051/8264/46921.png)
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