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Solve the following system of linear equations by substitution method: 2x – y = 2 x + 3y =15 |
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Answer» 2x-y=22x-2=y ....(1)x+3y=15 ....(2)By substituting the value from 1 and 2 eq.x+3(2x-2)=15x+6x-6=157x-6=157x = 21x= 21÷7x=3From 1 eq we can find out the value of y .....2x-2=y2(3)-2=y6-2 =yx=3 and y=4 2x - y = 2y = 2x - 2\xa0...(1)x + 3y = 15\xa0...(2)Substituting the value of y from (1) in (2), we get,x + 6x - 6 = 157x = 21x = 3From (1),y = 2\xa0\xa03 - 2 = 4 |
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