Equivalent Method; 1. 4x-6y=6 ; 7x-3y=6 2. 3x-3y=8; 9x- 4y=3
1.4x−6y=67x−3y=6{4x−6y=67x−3y=6{4x−6y=6−14x+6y=−12−10x=−6x=0.67⋅0.6−3y=63y=−1.8y=−0.6(0.6,−0.6)1. \\ 4x-6y=6\\ 7x-3y=6\\ \left\{\begin{matrix} 4x-6y=6\\ 7x-3y=6 \end{matrix}\right.\\\left\{\begin{matrix} 4x-6y=6\\ -14x+6y=-12 \end{matrix}\right.\\ -10x=-6\\ x=0.6\\ 7\cdot0.6-3y=6\\ 3y=-1.8\\ y=-0.6\\ (0.6,-0.6)1.4x−6y=67x−3y=6{4x−6y=67x−3y=6{4x−6y=6−14x+6y=−12−10x=−6x=0.67⋅0.6−3y=63y=−1.8y=−0.6(0.6,−0.6)
2.3x−3y=89x−4y=3{3x−3y=89x−4y=3{−9x+9y=−249x−4y=35y=−21y=−2153x−3⋅(−215)=83x=−235x=−2315(−2315,−215)2.\\3x-3y=8\\ 9x-4y=3\\ \left\{\begin{matrix} 3x-3y=8\\ 9x-4y=3 \end{matrix}\right.\\ \left\{\begin{matrix} -9x+9y=-24\\ 9x-4y=3 \end{matrix}\right.\\ 5y=-21\\ y=-\frac{21}{5}\\ 3x-3\cdot(-\frac{21}{5})=8\\ 3x=-\frac{23}{5}\\ x=-\frac{23}{15}\\ (-\frac{23}{15},-\frac{21}{5})2.3x−3y=89x−4y=3{3x−3y=89x−4y=3{−9x+9y=−249x−4y=35y=−21y=−5213x−3⋅(−521)=83x=−523x=−1523(−1523,−521)
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