Question

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

Answer 1

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`