Mathematics, 12.07.2019 18:30 adelfaali99
What is the solution to the system of equations y=5x+2 3x=-y+10
Answers: 1
![\bf \begin{cases} \boxed{y}=5x+2\\ 3x=-y+10 \end{cases}~\hspace{4em}\stackrel{\textit{substituting \boxed{y} in the second equation}}{3x=-\left( \boxed{5x+2} \right)+10} \\\\\\ 3x=-5x-2+10\implies 8x=8\implies x=\cfrac{8}{8}\implies \blacktriangleright x=1 \blacktriangleleft \\\\\\ \stackrel{\textit{substituting the \underline{x} in the first equation}}{y=5(1)+2}\implies \blacktriangleright y = 7\blacktriangleleft \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hspace{14em}(1,7)](/tpl/images/0081/8775/e1074.png)
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