Solve the following system by the elimination method. 1/5 x+y= 6/ 5 1/10x + 1/3 y= 7/10

Answer:By the elimination method, solving the equation we get x =-1, y  = 7/5 Explanation:Let  [tex]\frac{1}{5} x+y=\frac{6}{5}[/tex]   be equation 1. Solving the equation, we get  x+5 y=6   as equation 1 Similarly for equation 2, [tex]\frac{1}{10} x+\frac{1}{3} y=\frac{7}{10}[/tex] we get, 3x + 10y = 21 as equation 2 Solving both equation, Multiplying equation 1 by 3  [tex]3 x+15 y=18[/tex][tex]3 x+10 y=21[/tex]and subtracting both the equations We get [tex]5y = 7; y = 7/5[/tex]Substituting the value of y in equation 1, we get  [tex]x + 5(7/5) = 6[/tex]   [tex]x+7=6[/tex]   [tex]x = 6-7 = -1[/tex]