Answer to Question #311228 in Algebra for james

Question

Equivalent Method; 1. 4x-6y=6 ; 7x-3y=6 2. 3x-3y=8; 9x- 4y=3

Answer 1

$1. \\ 4x-6y=6\\ 7x-3y=6\\ \left\{\begin{matrix} 4x-6y=6\\ 7x-3y=6 \end{matrix}\right.\\\left\{\begin{matrix} 4x-6y=6\\ -14x+6y=-12 \end{matrix}\right.\\ -10x=-6\\ x=0.6\\ 7\cdot0.6-3y=6\\ 3y=-1.8\\ y=-0.6\\ (0.6,-0.6)$

$2.\\3x-3y=8\\ 9x-4y=3\\ \left\{\begin{matrix} 3x-3y=8\\ 9x-4y=3 \end{matrix}\right.\\ \left\{\begin{matrix} -9x+9y=-24\\ 9x-4y=3 \end{matrix}\right.\\ 5y=-21\\ y=-\frac{21}{5}\\ 3x-3\cdot(-\frac{21}{5})=8\\ 3x=-\frac{23}{5}\\ x=-\frac{23}{15}\\ (-\frac{23}{15},-\frac{21}{5})$