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

User Teaqu
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1 Answer

6 votes

Answer:

By the elimination method, solving the equation we get x =-1, y = 7/5

Step-by-step explanation:

Let
(1)/(5) x+y=(6)/(5) be equation 1.

Solving the equation, we get x+5 y=6 as equation 1

Similarly for equation 2,
(1)/(10) x+(1)/(3) y=(7)/(10)

we get, 3x + 10y = 21 as equation 2

Solving both equation,

Multiplying equation 1 by 3


3 x+15 y=18


3 x+10 y=21

and subtracting both the equations

We get
5y = 7; y = 7/5

Substituting the value of y in equation 1, we get
x + 5(7/5) = 6


x+7=6


x = 6-7 = -1

User Maziyar Mk
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