Substitution Method; 1. 3x-6y=4; 5x-5y=2 2. 2x+3y=3;4x-6y=4
1.3x−6y=45x−5y=23x=4+6yx=4+6y35⋅4+6y3−5y=220+30y−15y=615y=−14y=−1415x=4+6⋅−14153=−24153=−815(−815,−1415)1.\\ 3x-6y=4\\5x-5y=2\\ 3x=4+6y\\ x=\frac{4+6y}{3}\\ 5\cdot\frac{4+6y}{3}-5y=2\\ 20+30y-15y=6\\ 15y=-14\\ y=-\frac{14}{15}\\ x=\frac{4+6\cdot\frac{-14}{15}}{3}=\frac{-\frac{24}{15}}{3}=-\frac{8}{15}\\ (-\frac{8}{15},-\frac{14}{15})1.3x−6y=45x−5y=23x=4+6yx=34+6y5⋅34+6y−5y=220+30y−15y=615y=−14y=−1514x=34+6⋅15−14=3−1524=−158(−158,−1514)
2.2x+3y=34x−6y=42x=3−3yx=3−3y24⋅3−3y2−6y=46−6y−6y=4−12y=−2y=212y=16x=3−3⋅162=522=54(54,16)2.\\ 2x+3y=3\\4x-6y=4\\ 2x=3-3y\\ x=\frac{3-3y}{2}\\ 4\cdot\frac{3-3y}{2}-6y=4\\ 6-6y-6y=4\\ -12y=-2\\ y=\frac{2}{12}\\y=\frac{1}{6}\\ x=\frac{3-3\cdot\frac{1}{6}}{2}=\frac{\frac{5}{2}}{2}=\frac{5}{4}\\ (\frac{5}{4},\frac{1}{6})2.2x+3y=34x−6y=42x=3−3yx=23−3y4⋅23−3y−6y=46−6y−6y=4−12y=−2y=122y=61x=23−3⋅61=225=45(45,61)
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